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SPIRES-BOOKS: FIND KEYWORD MATHEMATICS - TEXTBOOKS *END*INIT* use /tmp/qspiwww.webspi1/23803.44 QRY 131.225.70.96 . find keyword mathematics - textbooks ( in books using www Cover
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Call number:SPRINGER-2014-9783642195983:ONLINE Show nearby items on shelf
Title:Basic Concepts in Physics [electronic resource] : From the Cosmos to Quarks
Author(s): Masud Chaichian
Hugo Perez Rojas
Anca Tureanu
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Basic Concepts in Physics: From the Cosmos to Quarks is the outcome of the authors' long and varied teaching experience in different countries and for different audiences, and gives an accessible and eminently readableintroduction to all the main ide as of modern physics. The books fresh approach, using a novel combination of historical and conceptual viewpoints, makes it ideal complementary reading to more standard textbooks. The first fivechapters are devoted to classical physics, from planetary mot ion to special relativity, always keeping in mind its relevance to questions of contemporary interest. The next six chapters deal mainly with newer developments in physics,from quantum theory and general relativity to grand unified theories, and the book concludes by discussing the role of physics in living systems. A basic grounding in mathematics is required of the reader, but technicalities areavoided as far as possible thus complex calculations are omitted so long as the essential ideas remain clear. The book is addressed to undergraduate and graduate students in physics and will also be appreciated by many professionalphysicists. It will likewise beof interest to students, researchers and teachers of other natural sciences, as well as to engineers, h igh-school teachers and the curious general reader, who will come to understand what physics isabout and how it describes the different phenomena of Nature. Not only will readers of this book learn much about physics, they will also learn to love it.
Contents:Gravitation and Newton Laws
Entropy, Statistical Physics and Information
Electromagnetism and Maxwell Equations
Electromagnetic Waves
The Special Theory of Relativity
The Atom and Quantum Theory
Quantum Electrodynamics
Fermi
Dirac and Bose
Einstein Statistics
The Four Fundamental Forces
General Relativity and Cosmology
Unification of the Forces of Nature
Physics and Life
Index
ISBN:9783642195983
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Biochemistry
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Call number:SPRINGER-2014-9783319082288:ONLINE Show nearby items on shelf
Title:Dynamical Systems Generated by Linear Maps [electronic resource]
Author(s): emal B Dolianin
Anatolij B Antonevich
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The book deals with dynamical systems, generated by linear mappings of finite dimensional spaces and their applications. These systems have a relatively simple structure from the point of view of the modern dynamical systemstheory. However, for the d ynamical systems of this sort, it is possible to obtain explicit answers to specific questions being useful in applications. The considered problems are natural and look rather simple, but in reality in thecourse of investigation, they confront users with plenty of subtle questions, and their detailed analysis needs a substantial effort. The problems arising are related to linear algebra and dynamical systems theory, and therefore, thebook can be considered as a natural amplification, refinement and supple ment to linear algebra and dynamical systems theory textbooks
Contents:From the Contents: Introduction
Vector trajectory
The Jordan basis and special subspaces
Representation of the vector trajectory
The structures related to the principal term of the vector Trajectory
The asymptotic behavior of vector trajectories and trajectories of one
dimensional subspaces
ISBN:9783319082288
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Engineering , Vibration
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Call number:SPRINGER-2014-9783319035635:ONLINE Show nearby items on shelf
Title:Mathematical and Numerical Methods for Partial Differential Equations [electronic resource] : Applications for Engineering Sciences
Author(s): Jol Chaskalovic
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approachfirst summarizes and o utlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverseexercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing thematerial, as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic
Contents:From the Contents: Introduction to functional analytical methods of partial differential equations
The finite element method
Variational Formulations of elliptic boundary problems
Finite Elements and differential Introduction to functional analytical methods of partial differential equations
The finite element method
Variational Formulations of elliptic boundary problems
ISBN:9783319035635
Series:eBooks
Series:SpringerLink
Series:Mathematical Engineering, 2192-4732
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis , Engineering mathematics , Materials
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Call number:SPRINGER-2014-9783034808439:ONLINE Show nearby items on shelf
Title:Condenser Capacities and Symmetrization in Geometric Function Theory [electronic resource]
Author(s): Vladimir N Dubinin
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original the main part has not been covered by existing textbooks andmonographs. After an introduc tion to the theory of condenser capacities in the plane, the monotonicity of the capacity under various special transformations (polarization, Gonchar transformation, averaging transformations and others)is established, followed by various types of symmet rization which are one of the main objects of the book. By using symmetrization principles, some metric properties of compact sets are obtained and some extremal decomposition problemsare solved. Moreover, the classical and present facts for univalent and multivalent meromorphic functions are proven. This book will be a valuable source for current and future researchers in various branches of complex analysis andpotential theory
Contents:Preface
1.Conformal capacity
2. Asymptotics of the condenser capacity when one of the plate degenerates
Special transformations
4. Symmetrization
5. Metric properties of sets and condensers
6. Problems of extremal decomposition
7. Univalent functions
8. Multivalent functions
Appendices: A1. Dirichlet principle
A2. Uniqueness theorem for contracting mapping
A3. On separating transformation of sets and condensers
A4. On conservation of reduced moduli under geometric trans
formation of domains
A5. Quadratic differentials
A6. Unsolved problems
Reference
ISBN:9783034808439
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2014-9781447153610:ONLINE Show nearby items on shelf
Title:Probability Theory [electronic resource] : A Comprehensive Course
Author(s): Achim Klenke
Date:2014
Edition:2nd ed. 2014
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:This second edition of the popular textbook contains a comprehensive course in modern probability theory. Overall, probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineeringand computer science. They help us in understanding magnetism, amorphous media, genetic diversity and the perils of random developments at financial markets, and they guide us in constructing more efficient algorithms. To addressthese concepts, the title covers a wide variet y of topics, many of which are not usually found in introductory textbooks, such as: limit theorems for sums of random variables martingales percolation Markov chains andelectrical networks construction of stochastic processes Poisson point process and infinite divisibility large deviation principles and statistical physics Brownian motion stochastic integral and stochasticdifferential equations. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts inprobability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulat ions and some difficult proofs have been made more accessible. A wealth ofexamples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathe matics and statistics in physics, computer science,economics and biology
Contents:Basic Measure Theory
Independence
Generating Functions
The Integral
Moments and Laws of Large Numbers
Convergence Theorems
Lp
Spaces and the RadonNikodym Theorem
Conditional Expectations
Martingales
Optional Sampling Theorems
Martingale Convergence Theorems and Their Applications
Backwards Martingales and Exchangeability
Convergence of Measures
Probability Measures on Product Spaces
Characteristic Functions and the Central Limit Theorem
Infinitely Divisible Distributions
Markov Chains
Convergence of Markov Chains
Markov Chains and Electr
ISBN:9781447153610
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Distribution (Probability theory)
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Call number:SPRINGER-2014-9780817684099:ONLINE Show nearby items on shelf
Title:A Probability Path [electronic resource]
Author(s): Sidney I Resnick
Date:2014
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate studentsfrom a variety of disci plines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research instatistics, applied probability, biology, operations research, mathematical finance, and engineering. Aone-semester course is laid out in an efficient and readable manner covering the core material. The first three chaptersprovide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applicationsto statistics (quantile and distribution function estimation), and applied probability. Two subsequent cha pters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treatsconditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes, Resnicks related and very successful textbook, A Probability Path isrich in appropriate examples, illustrations, and problems, and is suitable for classroom use or self-study. The present uncorrected, softcover reprintis designed to make this classic textbookavailable to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoreticbackground not as a prerequisite but as an integral part of probability theory. Th e result is that the reader gets a thorough and well-structured framewo
ISBN:9780817684099
Series:eBooks
Series:SpringerLink
Series:Modern Birkhuser Classics, 2197-1803
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2013-9783642349287:ONLINE Show nearby items on shelf
Title:Surveys in Differential-Algebraic Equations I [electronic resource]
Author(s): Achim Ilchmann
Timo Reis
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to thestrong relation to (o rdinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields ofDAEs, providing reviews, presentations of the current state of research and new concepts in - Controllability for linear DAEs - Port-Hamiltonian differential-algebraic systems - Robustness of DAEs - Solution concepts for DAEs- DAEs in circuit modeling. The results in the individual chapters are pres ented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basicprinciples of DAEs) for self-study
Note:Springer eBooks
ISBN:9783642349287
Series:e-books
Series:SpringerLink (Online service)
Series:Differential-Algebraic Equations Forum
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Systems theory , Numerical analysis
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Call number:SPRINGER-2013-9783642312380:ONLINE Show nearby items on shelf
Title:Quantum Physics in the Nanoworld [electronic resource] : Schrdinger's Cat and the Dwarfs
Author(s): Hans Lth
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book deals with all essential aspects of non-relativistic quantum physics up to the quantization of fields. In contrast to common textbooks of quantum mechanics, modern experiments are described both for the purpose offoundation of the theory and in relation to recent applications. In this respect applications to nano-electronics as well as the realization of quantum-bits are presented and discussed. Furthermore, links are made to other importantresearch fields and applications, such as elementar y particle physics, solid state physics and nuclear magnetic resonance tomography in medicine. Even though the representation of the topics is largely performed in terms of Diracsbra-ket notation and by use of commutator algebra, the concrete description of the physical basis and the corresponding theoretical concepts are emphasized. Because of little requirement of complex mathematics, the book is suitable asan introduction into quantum physics, not only for physicists but also for chemists, biologists, engineers, computer scientists and even for philosophers as far as they are interested in natural philosophy and epistomology
Note:Springer eBooks
Contents:Some Fundamental Experiments
Particle
Wave Duality
Quantum States in Hilbert Space
Angular Momentum, Spin and Particle Categories
Approximate Solutions for Important Model Systems
Superposition, Entanglement and other Oddities
Fields and Quanta
ISBN:9783642312380
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Nanochemistry , Quantum theory , Engineering , Nanotechnology
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Call number:SPRINGER-2013-9781461457251:ONLINE Show nearby items on shelf
Title:Hidden HarmonyGeometric Fantasies [electronic resource] : The Rise of Complex Function Theory
Author(s): Umberto Bottazzini
Jeremy Gray
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Hidden HarmonyGeometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted tocomplex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subjectCauchy, Riemann, and Weierstrassit looks at thecontributions of great mathematicians from dAlembert to Po incar, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric functiontheory, and the early years of complex function theory in several variables. Unique em phasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages.This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture o f the broad cultural and social context in which the main players lived and worked by paying attention to the rise ofmathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professionalmathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory
Note:Springer eBooks
Contents:List of Figures
Introduction
1. Elliptic Functions
2. From real to complex
3. Cauch
4. Elliptic integrals
5. Riemann
6. Weierstrass
7. Differential equations
8. Advanced topics
9. Several variables
10. Textbooks
ISBN:9781461457251
Series:e-books
Series:SpringerLink (Online service)
Series:Sources and Studies in the History of Mathematics and Physical Sciences
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Functions of complex variables , Number theory
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Call number:SPRINGER-2012-9788847025387:ONLINE Show nearby items on shelf
Title:Financial Mathematics [electronic resource] : Theory and Problems for Multi-period Models
Author(s): Andrea Pascucci
Wolfgang J Runggaldier
Date:2012
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:With the Bologna Accords a bachelor-master-doctor curriculum has been introduced in various countries with the intention that students may enter the job market already at the bachelor level. Since financial Institutions providenon negligible job oppo rtunities also for mathematicians, and scientists in general, it appeared to be appropriate to have a financial mathematics course already at the bachelor level in mathematics. Most mathematical techniques in usein financial mathematics are related to con tinuous time models and require thus notions from stochastic analysis that bachelor students do in general not possess. Basic notions and methodologies in use in financial mathematics canhowever be transmitted to students also without the technicalities f rom stochastic analysis by using discrete time (multi-period) models for which general notions from Probability suffice and these are generally familiar to studentsnot only from science courses, but also from economics with quantitative curricula. There d o not exists many textbooks for multi-period models and the present volume is intended to fill in this gap. It deals with the basic topics infinancial mathematics and, for each topic, there is a theoretical section and a problem section. The latter includ es a great variety of possible problems with complete solution
Note:Springer eBooks
Contents:Pricing and hedging
Portfolio optimization
American options
Interest rates
ISBN:9788847025387
Series:e-books
Series:SpringerLink (Online service)
Series:Unitext, 2038-5714
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Economics
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Call number:SPRINGER-2012-9783642255885:ONLINE Show nearby items on shelf
Title:Manfredo P. do Carmo Selected Papers [electronic resource]
Author(s): Manfredo P do Carmo
Keti Tenenblat
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow and the winner of many prestigious national and international awards,the professor at the institute of Pure and Applied Mathematics in Rio de Janeiro is well known as the author of influential textbooks such as Differential Geometry of Curves and Surfaces. The area of differential geometry is the mainfocus of this selection, though it also co ntains do Carmo's own commentaries on his life as a scientist as well as assessment of the impact of his researches and a complete list of his publications. Aspects covered in the featuredpapers include relations between curvature and topology, convexity and rigidity, minimal surfaces, and conformal immersions, among others. Offering more than just a retrospective focus, the volume deals with subjects of currentinterest to researchers, including a paper co-authored with Frank Warner on the convexity of hy persurfaces in space forms. It also presents the basic stability results for minimal surfaces in the Euclidean space obtained by the authorand his collaborators. Edited by do Carmo's first student, now a celebrated academic in her own right, this collecti on pays tribute to one of the most distinguished mathematicians
Note:Springer eBooks
Contents:Preface
A Summary of the Scientific Activities of Manfredo P. do Carmo
Summary of thePapers in this Volume by Manfredo P. do Carmo
Contributions
Complete List of Publications of Manfredo P. do Carmo
List of D.Sc. Students of Manfredo P. do Carmo
ISBN:9783642255885
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Global differential geometry , Cell aggregation Mathematics
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Call number:SPRINGER-2012-9781461438946:ONLINE Show nearby items on shelf
Title:Calculus on Normed Vector Spaces [electronic resource]
Author(s): Rodney Coleman
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematicalmaturity. All the important t opology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book isone of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader
Note:Springer eBooks
Contents:Preface
1 Normed Vector Spaces
2 Differentiation
3 Mean value theorems
4 Higher derivatives and differentials
5 Taylor theorems and applications
6 Hilbert spaces
7 Convex functions
8 The inverse and implicit mapping theorems
9 Vector fields
10 The flow of a vector field
11 The calculus of variations: an introduction
Bibliography
Index
ISBN:9781461438946
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Mathematical optimization
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Call number:SPRINGER-2012-9781461436881:ONLINE Show nearby items on shelf
Title:Problems in Probability [electronic resource]
Author(s): Albert N Shiryaev
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Problems in Probability comprises one of the most comprehensive, nearly encyclopedic, collections of problems and exercises in probability theory. Albert Shiryaev has skillfully created, collected, and compiled the exercisesin this text over the cour se of many years while working on topics which interested him the most. A substantial number of the exercises resulted from diverse sources such as textbooks, lecture notes, exercise manuals, monographs,and discussions that took place during special semin ars for graduate and undergraduate students. Many problems contain helpful hints and other relevant comments and a portion of the material covers some important applications fromoptimal control and mathematical finance. Readers of diverse backgroundsfrom students to researcherswill find a great deal of value in this book and can treat the work as an exercise manual, a handbook, or as a supplementary textto a course in probability theory, control, and mathematical finance. The problems and exercises in thi s book vary in nature and degree of difficulty. Some problems are meant to test the readers basic understanding, others are ofmedium-to-high degrees of difficulty and require more creative thinking. Other problems are meant to develop additional theoretic al concepts and tools or to familiarize the reader with various facts that are not necessarily covered inmainstream texts. Additional problems are related to the passage from random walk to Brownian motions and Brownian bridges. The appendix contains a su mmary of the main results, notation and terminology that are used throughout thebook. It also contains additional material from combinatorics, potential theory and Markov chainssubjects that are not covered in the book, but are nevertheless needed for man y of the exercises included here
Note:Springer eBooks
Contents:Preface
1. Elementary Probability Theory
2. Mathematical Foundations of Probability Theory
3. Convergence of Probability Measures
4. Independent Random Variables
5. Stationary Random Sequences in Strict Sense
6. Stationary Random Sequences in Broad Sense
7. Martingales
8. Markov Chains
Appendix
References
ISBN:9781461436881
Series:e-books
Series:SpringerLink (Online service)
Series:Problem Books in Mathematics, 0941-3502
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Distribution (Probability theory)
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Call number:SPRINGER-2012-9781461435822:ONLINE Show nearby items on shelf
Title:Introduction to the Mathematics of Finance [electronic resource] : Arbitrage and Option Pricing
Author(s): Steven Roman
Date:2012
Edition:2nd ed. 2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specificallywritten for advanced under graduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholesoption pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model. This second edition is a complete rewrite of the first edition with significant changes to the topic organization, thus making the book flow muchmore smoothly. Several topics have been expanded such as the discussio ns of options, including the history of options, and pricing nonattainable alternatives. In this edition the material on probability has been condensed into fewerchapters, and the material on the capital asset pricing model has been removed. The mathemati cs is not watered down, but it is appropriate for the intended audience. Previous knowledge of measure theory is not needed and only a smallamount of linear algebra is required. All necessary probability theory is developed throughout the book on a need-t o-know basis. No background in finance is required, since the book contains a chapter on options
Note:Springer eBooks
Contents:Preface
Notation Key and Greek Alphabet
0 Introduction
Part 1 Options and Arbitrage
1 Background on Options
2 An Aperitif on Arbitrage
Part 2 Discrete
Time Pricing Models
3 Discrete Probability
4 Stochastic Processes, Filtrations and Martingales
5 Discrete
Time Pricing Models
6 The Binomial Model
7 Pricing Nonattainable Alternatives in an Incomplete Market
8 Optimal Stopping and American Options
Part 3 the Black
Scholes Option Pricing Formula
9 Continuous Probability
10 The Black
Scholes Option Pricing Formula
Appendix A: Convexity and the Separa
ISBN:9781461435822
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2012-9780817646622:ONLINE Show nearby items on shelf
Title:Self-adjoint Extensions in Quantum Mechanics [electronic resource] : General Theory and Applications to Schrdinger and Dirac Equations with Singular Potentials
Author(s): D.M Gitman
I.V Tyutin
B.L Voronov
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis.Though a nave treatment exi sts for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A propertreatment of these problems requires invoking certain nontrivial n otions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators.Self-adjoint Extensions in Quantum Mechanics begins by considering quantization problem s in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the nave treatment. The necessarymathematical background is then built by developing the theory of self-adjoint extensions. Through examination of v arious quantum-mechanical systems, the authors show how quantization problems associated with the correct definitionof observables and their spectral analysis can be treated consistently for comparatively simple quantum-mechanical systems. Systems that ar e examined include free particles on an interval, particles in a number of potential fieldsincluding delta-like potentials, the one-dimensional Calogero problem, the AharonovBohm problem, and the relativistic Coulomb problem. This well-organized text is m ost suitable for graduate students and postgraduates interested indeepening their understanding of mathematical problems in quantum mechanics beyond the scope of those treated in standard textbooks. The book may also serve as a useful resource for mathema ticians and researchers in mathematical andtheoretical physics
Note:Springer eBooks
Contents:Introduction
Linear Operators in Hilbert Spaces
Basics of Theory of s.a. Extensions of Symmetric Operators
Differential Operators
Spectral Analysis of s.a. Operators
Free One
Dimensional Particle on an Interval
One
Dimensional Particle in Potential Fields
Schrdinger Operators with Exactly Solvable Potentials
Dirac Operator with Coulomb Field
Schrdinger and Dirac Operators with Aharonov
Bohm and Magnetic
Solenoid Fields
ISBN:9780817646622
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematical Physics : v62
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Quantum theory , Mathematical physics
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Call number:SPRINGER-2011-9783642238994:ONLINE Show nearby items on shelf
Title:Newton Methods for Nonlinear Problems [electronic resource] : Affine Invariance and Adaptive Algorithms
Author(s): Peter Deuflhard
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differentialequations). Its focus is on l ocal and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariantunder one out of four subclasses of affine transf ormations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the constructionof fully adaptive algorithms. Lots of numerical illustrations, compari son tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research
Note:Springer eBooks
ISBN:9783642238994
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Computational Mathematics, 0179-3632 : v35
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Differential Equations , Computer science Mathematics , Mathematical optimization , Engineering mathematics
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Call number:SPRINGER-2011-9780817681111:ONLINE Show nearby items on shelf
Title:A Friendly Guide to Wavelets [electronic resource]
Author(s): Gerald Kaiser
Date:2011
Publisher:Boston : Birkhuser Boston
Size:1 online resource
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Note:I wholeheartedly recommend this book for a solid and friendly introduction to wavelets, for anyone who is comfortable with the mathematics required of undergraduate electrical engineers. The book's appeal is that it covers allthe fundamental concepts of wavelets in an elegant, straightforward way. It offers truly enjoyable (friendly!) mathematical exposition that is rich in intuitive explanations, as well as clean, direct, and clear in its theoreticaldevelopments. I found Kaiser's straightforward end -of-chapter exercises excellent...Kaiser has written an excellent introduction to the fundamental concepts of wavelets. For a book of its length and purpose, I think it should beessentially unbeatable for a long time. Proceedings of the IEEE It is well pr oduced and certainly readable...This material should present no difficulty for fourth-year undergraduates...It also will be useful to advanced workers inthat it presents a different approach to wavelet theory from the usual one. Computing Reviews I found this to be an excellent book. It is eminently more readable than the books...which might be considered the principal alternativesfor textbooks on wavelets. Physics Today This volume is probably the most gentle introduction to wavelet theory on the market. As such, it responds to a significant need. The intended audience will profit from the motivation andcommon-sense explanations in the text. Ultimately, it may lead many readers, who may not otherwise have been able to do so, to go further into wavelet th eory, Fourier analysis, and signal processing. SIAM Review The first half ofthe book is appropriately named. It is a well-written, nicely organized exposition...a welcome addition to the literature. The second part of the book introduces the concept of el ectromagnetic wavelets...This theory promises to havemany other applications and could well lead to new ways of studying these topics. This book has a number of unique features which...makes
Note:Springer eBooks
Contents:Preface
Suggestions to the Reader
Symbols, Conventions, and Transforms
Part I: Basic Wavelet Analysis. Preliminaries: Background and Notation
Windowed Fourier Transforms
Continuous Wavelet Transforms
Generalized Frames: Key to Analysis and Synthesis
Discrete Time
Frequency Analysis and Sampling
Discrete Time
Scale Analysis
Multiresolution Analysis
Daubechies Orthonormal Wavelet Bases
Part II: Physical Wavelets
Introduction to Wavelet Electromagnetics
Applications to Radar and Scattering
Wavelet Acoustics
References
Index
ISBN:9780817681111
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Mathematical physics
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Call number:SPRINGER-2010-9783642140372:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Hamiltonian and Lagrangian Formalism
Author(s): Alexei Deriglazov
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, aswell as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyondthe traditional level adopted in the standar d textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described andexplained, so the book can be a good starting point for the undergradu ate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving thelevel of rigor that makes the book useful for the graduate students intending to work in one o f the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches oftheoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included
Note:Springer eBooks
Contents:Sketch of Lagrangian Formalism
Hamiltonian Formalism
Canonical Transformations of Two
Dimensional Phase Space
Properties of Canonical Transformations
Integral Invariants
Potential Motion in a Geometric Setting
Transformations, Symmetries and Noether Theorem
Hamiltonian Formalism for Singular Theories
ISBN:9783642140372
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics , Engineering mathematics
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Call number:SPRINGER-2010-9783642053702:ONLINE Show nearby items on shelf
Title:Mechanics [electronic resource] : From Newton's Laws to Deterministic Chaos
Author(s): Florian Scheck
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks toinclude dynamical system s and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.Symmetries and invariance principles, the basic ge ometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equationsof motion follow, to understand the importance of canonical mechanics an d of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches ofphysics. The book contains more than 120 problems with complete solutions, as well as some practica l examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook toaccompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
Note:Springer eBooks
Contents:Elementary Newtonian Mechanics
The Principles of Canonical Mechanics
The Mechanics of Rigid Bodies
Relativistic Mechanics
Geometric Aspects of Mechanics
Stability and Chaos
Continuous Systems
Exercises
Solution of Exercises
ISBN:9783642053702
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2010-9781441963512:ONLINE Show nearby items on shelf
Title:Molecular Modeling and Simulation: An Interdisciplinary Guide [electronic resource] : An Interdisciplinary Guide
Author(s): Tamar Schlick
Date:2010
Edition:Second
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:Review of previous edition: I am often asked by physicists, mathematicians and engineers to recommend a book that would be useful to get them started in computational molecular biology. I am also often approached by mycolleagues in computational biol ogy to recommend a solid textbook for a graduate course in the area. Tamar Schlick has written the book that I will be recommending to both groups. Tamar has done an amazing job in writing a book that isboth suitably accessible for beginners, and suitably rigorous for experts. J. J. Collins, Boston University, USA. Molecular modeling is now an important branch of modern biochemistry. Schlick has brought her uniqueinterdisciplinary expertise to the subject. One of the most distinguished characteristics of the book is that it makes the reading really fun and the material accessible. a crystal clear logical presentation . Schlickhas added a unique title to the collection of mathematical biology textbooks . a valuable introduction to the field of compu tational molecular modeling. It is a unique textbook . Hong Qian, SIAM Review, 2005
Note:Springer eBooks
Contents:Biomolecular Structure and Modeling: Historical Perspective
Biomolecular Structure and Modeling: Problem and Application Perspective
Protein Structure Introduction
Protein Structure Hierarchy
Nucleic Acids Structure Minitutorial
Topics in Nucleic Acids Structure
Theoretical and Computational Approaches to Biomolecular Structure
Force Fields
Nonbonded Computations
Multivariate Minimization in Computational Chemistry
Monte Carlo Techniques
Molecular Dynamics: Basics
Molecular Dynamics: Further Topics
Similarity and Diversity in Chemical Design
Epilogue
ISBN:9781441963512
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v21
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Biochemical engineering , Computer simulation , Biochemistry
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Call number:SPRINGER-2010-9781441957832:ONLINE Show nearby items on shelf
Title:The Theory of Differential Equations [electronic resource] Classical and Qualitative
Author(s): Walter G Kelley
Allan C Peterson
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the importanttopics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as a chapter on perturbation methods and a section in Chapter 3 that shows how to solvedifferential equations using Mathematica codes. In add ition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible withMathematica, version 7.0, and all Mathematica codes are in the book itself. Thi s new edition also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2concerning fundamental matrices, and many further enhancements to the first edition. This book can be u sed either for a second course in ordinary differential equations or as an introductory course for well-prepared students. Theprerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from lin ear algebra are introduced along with examples in the book. An undergraduate course in analysis is neededfor the more theoretical subjects covered in the final two chapters
Note:Springer eBooks
Contents:First
Order Differential Equations
Linear Systems
Autonomous Systems
Perturbation Methods
The Self
Adjoint Second
Order Differential Equation
Linear Differential Equations of Order n
BVPs for Nonlinear Second
Order DEs
Existence and Uniqueness Theorems
ISBN:9781441957832
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext : v0
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations
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Call number:SPRINGER-2010-9780817649876:ONLINE Show nearby items on shelf
Title:Probability and Statistical Models [electronic resource] : Foundations for Problems in Reliability and Financial Mathematics
Author(s): Arjun K Gupta
Wei-Bin Zeng
Yanhong Wu
Date:2010
Edition:First
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:With an emphasis on models and techniques, this textbook introduces many of the fundamental concepts of stochastic modeling that are now a vital component of almost every scientific investigation. These models form the basis ofwell-known parametric l ifetime distributions such as exponential, Weibull, and gamma distributions, as well as change-point and mixture models. The authors also consider more general notions of non-parametric lifetime distributionclasses. In particular, emphasis is placed onlay ing the foundation for solving problems in reliability, insurance, finance, and credit risk. Exercises and solutions to selected problems accompany each chapter in order toallowstudents to explore these foundations. The key subjects covered include: * Exp onential distributions and the Poisson process * Parametric lifetime distributions * Non-parametric lifetime distribution classes * Multivariate exponentialextensions * Association and dependence * Renewal theory * Problems in reliability, insurance, fina nce, and credit risk Thiswork differs from traditional probability textbooks in a number of ways. Since no measure theory knowledge isnecessary to understand the material and coverage of the central limit theorem and normal theory related topics has been omitted,the work may be used as a single-semester senior undergraduate or first-year graduate textbook as wellas in a second course on probability modeling. Many of the chapters that examine central topics in applied probability can be read independently, allowing both instructors and readers extra flexibility in their use of the book.Probability and Statistical Models is for a wide audience including advanced undergraduate and beginning-level graduate students, researchers, and practitioners in mathemati cs, statistics, engineering, and economics
Note:Springer eBooks
Contents:Preface
Preliminaries
Exponential Distribution
Poisson Process
Parametric Families
Lifetime Distribution Classes
Multivariate Lifetime Distributions
Association and Dependence
Renewal Theory
Risk Theory
Asset Pricing Theory
Credit Risk Modeling
Bibliographical Notes
Bibliography
Answers and Solutions to Selected Problems
Index
ISBN:9780817649876
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory) , Economics Statistics , Engineering mathematics
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Call number:SPRINGER-2010-9780817649746:ONLINE Show nearby items on shelf
Title:The Versatile Soliton [electronic resource]
Author(s): Alexandre T Filippov
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in the physics of nonlinear waves. In this classic book, the concept of thesoliton is traced from t he beginning of the last century to modern times, with recent applications in biology, oceanography, solid state physics, electronics, elementary particle physics, and cosmology. The Versatile Soliton is anappropriate title indeed. There is much new histo rical information in the bookThe book is written in a lively language and the physics presented in a clear, pedagogical style. Most of the chapters require only knowledge of fairlyelementary mathematics and the main ideas of soliton physics are well expla ined without mathematics at allYet it contains valuable information and offers a historical review of soliton physics that cannot be found elsewhere.Centaurus In summary, this book is a good elementary treatment of solitons and the related history of phys ics and mathematics, even for readers with little knowledge of advanced mathematics. For readers with the latter knowledge, itis still a good introduction to the physical ideas required for the understanding of solitons prior to the study of more mathemat ical treatments from other sources. Mathematical Reviews This engaging book is an excellentintroduction into the wonderful world of soliton mechanics. Zentralblatt Math No doubt, everyone can get new information from the book. First, the book is strongly recommended to young researchers. In a certain sense, the bookis unique and definitely will find a niche among numerous textbooks on solitons. Physicala
Note:Springer eBooks
Contents:An Early History of the Soliton
A Century and a Half Ago
The Great Solitary Wave of John Scott Russell
Relatives of the Soliton
Nonlinear Oscillations and Waves
A Portrait of the Pendulum
From Pendulum to Waves and Solitons
The Present and Future of the Soliton
Frenkels Solitons
Rebirth of the Soliton
Modern Solitons
ISBN:9780817649746
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Quantum theory
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Call number:SPRINGER-2010-9780817649685:ONLINE Show nearby items on shelf
Title:G.W. Stewart [electronic resource] : Selected Works with Commentaries
Author(s): Misha E Kilmer
Dianne P O'Leary
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Published in honor of his 70th birthday, this volume explores and celebrates the work of G.W. (Pete) Stewart, a world-renowned expert in computational linear algebra. It is widely accepted that Stewart is the successor to JamesWilkinson, the first gi ant in the field, taking up the perturbation theory research that Wilkinson so ably began and using it as a foundation for algorithmic insights. Stewarts results on rounding error in numerical computationsprovided basic understanding of floating-point com putation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms forthe singular value decomposition, updating and downdating matrix facto rizations, and the eigenproblem broke new ground and are still widely used in an increasing number of applications. Stewarts papers, widely cited, arecharacterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His si x popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering andhas received numerous additional honors, including the Bauer Prize. Key features of this volume include: * Forty-four of Stew arts most influential research papers in two subject areas: matrix algorithms and rounding and perturbationtheory * A biography of Stewart * A complete list of Stewarts publications, students, and honors * Selected photographs * Commentaries on Stewarts w orks in collaboration with leading experts in the field G.W. Stewart: SelectedWorks with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics
Note:Springer eBooks
Contents:Foreword
Part I. G.W. Stewart
Biography of G.W. Stewart
Publications, Honors, and Students
Part II. Commentaries
Introduction to the Commentaries
Matrix Decompositions: LINPACK and Beyond
Updating and Downdating Matrix Decompositions
Least Squares, Projections, and Psuedo
Inverses
The Eigenproblem and Invariant Subspaces: Perturbation Theory
The SVD, Eigenproblem, and Invariant Subspaces: Algorithms
The Generalized Eigenproblem
Krylov Subspace Methods for the Eigenproblem
Other Contributions
References
Index
Part III. Reprints
Papers on Matrix
ISBN:9780817649685
Series:e-books
Series:SpringerLink (Online service)
Series:Contemporary Mathematicians
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Computer science Mathematics , Algorithms , Mathematics_$xHistory , Engineering mathematics
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Call number:SPRINGER-2010-9780817645526:ONLINE Show nearby items on shelf
Title:Partial Differential Equations [electronic resource] : Second Edition
Author(s): Emmanuele DiBenedetto
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This self-contained textbook offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, but also providing a perspective on nonlinear equations, through Hamilton--Jacobiequations, elliptic equa tions with measurable coefficients and DeGiorgi classes. The exposition is complemented by examples, problems, and solutions that enhance understanding and explore related directions. Large parts of this revisedsecond edition have been streamlined and rew ritten to incorporate years of classroom feedback, correct misprints, and improve clarity. The work can serve as a text for advanced undergraduates and graduate students in mathematics,physics, engineering, and the natural sciences, as well as an excellen t reference for applied mathematicians and mathematical physicists. The newly added three last chapters, on first order non-linear PDEs (Chapter 8), quasilinearelliptic equations with measurable coefficients (Chapter 9) and DeGiorgi classes (Chapter 10), point to issues and directions at the forefront of current investigations. Reviews of the first edition: The author's intent is to presentan elementary introduction to PDEs... In contrast to other elementary textbooks on PDEs . . . much more material is p resented on the three basic equations: Laplace's equation, the heat and wave equations. . . . The presentation isclear and well organized. . . . The text is complemented by numerous exercises and hints to proofs. ---Mathematical Reviews This is a well-wri tten, self-contained, elementary introduction to linear, partial differential equations.---Zentralblatt MATH
Note:Springer eBooks
Contents:Preface to the Second Edition
Preface to the First Edition
Preliminaries
Quasi
Linear Equations
The LaPlace Equation
Boundary Value Problems by Double Layer Potentials
Integral Equations and Eigenvalue Problems
The Heat Equation
The Wave Equation
Quasi
Linear Equations of First Order
Non
Linear Equations of First Order
References
Index
ISBN:9780817645526
Series:e-books
Series:SpringerLink (Online service)
Series:Cornerstones
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Fourier analysis , Integral equations , Differential equations, partial , Mathematical optimization , Mathematical physics
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Call number:SPRINGER-2010-9780387683614:ONLINE Show nearby items on shelf
Title:Additive Number Theory [electronic resource] : Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson
Author(s): David Chudnovsky
Gregory Chudnovsky
Date:2010
Edition:1
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. Nathanson's numerous results have been widely published in top notchjournals and in a nu mber of excellent graduate textbooks (GTM Springer) and reference works. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate studentsand researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research
Note:Springer eBooks
Contents:
Preface
Sum
product theorems and applications (Bourgain)
Can you hear the shape of a Beatty sequence? (Graham, OBryant)
Variance of signals and their finite Fourier transforms (Chudnovsky, Chudnovsky, Morgan)
Sparse sets in time and frequency related to diophantine problems and integrable systems (Chudnovsky, Chudnovsky, Morgan)
Addition theorems in acyclic semigroups (Cilleruelo, Hamidoune, Serra)
Small sumsets in free products of Z/2Z (Eliahou, Lecouvey)
A combinatorial approach to sums of two squares and related problems (Elsholtz)
A note on Elkins improvement of Behrend
ISBN:9780387683614
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Logic, Symbolic and mathematical , Number theory
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Call number:SPRINGER-2009-9789048123315:ONLINE Show nearby items on shelf
Title:Nonlinear Solid Mechanics [electronic resource]
Author(s): Adnan Ibrahimbegovic
Date:2009
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume provides insight into modelling and ultimate limit computation of complex structures, with their components represented by solid deformable bodies. The book examines practically all the important questions of currentinterests for nonlinea r solid mechanics: plasticity, damage, large deformations, contact, dynamics, instability, localisation and failure, discrete models, multi-scale, multi-physics and parallel computing, with special attention givento finite element solution methods. The pr esentation of topics is structured around different aspects of typical boundary value problems in nonlinear solid mechanics, which provides the best pedagogical approach while keeping the booksize reasonable despite its very broad contents. Other strong p oints are the exhaustive treatment of subjects, with each question studied from different angles of mechanics, mathematics and computation, as well as a successful mergerof scientific cultures and heritage from Europe and the USA. The book content and sty le is also the product of rich international experience in teaching Master and Doctoral level courses, as well as the courses organized forparticipants from industry (IPSI courses) in France, and similar courses in Germany and Italy. Every effort was made to make the contents accessible to non-specialists and users of computer programs. The original French editionpublished by Hermes Science - Lavoisier Paris in 2006 was nominated for the Roberval Award for University Textbooks in French
Note:Springer eBooks
Contents:Boundary value problem in linear and nonlinear elasticity
Inelastic behavior at small strains
Large displacements and deformations
Changing boundary conditions: contact problems
Dynamics and time
integration schemes
Thermodynamics and solution methods for coupled problems
Geometric and material instabilities
Multi
scale modelling of inelastic behavior
ISBN:9789048123315
Series:e-books
Series:SpringerLink (Online service)
Series:Solid Mechanics and its Applications, 0925-0042 : v160
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Mathematical optimization , Engineering , Materials
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Call number:SPRINGER-2009-9780387849232:ONLINE Show nearby items on shelf
Title:Solving the Pell Equation [electronic resource]
Author(s): Michael J Jacobson
Hugh C Williams
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Pell's equation is a very simple, yet fundamental Diophantine equation which is believed to have been known to mathematicians for over 2000 years. Because of its popularity, the Pell equation is often discussed in textbooks andrecreational books conc erning elementary number theory, but usually not in much depth. This book provides a modern and deeper approach to the problem of solving the Pell equation. The main component of this will be computationaltechniques, but in the process of deriving these i t will be necessary to develop the corresponding theory. One objective of this book is to provide a less intimidating introduction for senior undergraduates and others with the samelevel of preparedness to the delights of algebraic number theory through t he medium of a mathematical object that has fascinated people since the time of Archimedes. To achieve this, this work is made accessible to anyone with someknowledge of elementary number theory and abstract algebra. Many references and notes are provided for those who wish to follow up on various topics, and the authors also describe some rather surprising applications to cryptography.The intended audience is number theorists, both professional and amateur, and students, but we wish to emphasize that thi s is not intended to be a textbook its focus is much too narrow for that. It could, however be used assupplementary reading for students enrolled in a second course in number theory
Note:Springer eBooks
Contents:Early History of the Pell Equation
Continued Fractions
Quadratic Number Fields
Ideals and Continued Fractions
Some Special Pell Equations
The Ideal Class Group
The Analytic Class Number Formula
Some Additional Analytic Results
Some Computational Techniques
(f, p) Representations of
ideals
Compact Representations
The Subexponential Method
Applications to Cryptography
Unconditional Verification of the Regulator and the Class Number
Principal Ideal Testing in
Conclusion
ISBN:9780387849232
Series:e-books
Series:SpringerLink (Online service)
Series:CMS Books in Mathematics, 1613-5237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Number theory
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Call number:SPRINGER-2009-9780387683249:ONLINE Show nearby items on shelf
Title:An Introduction to Homological Algebra [electronic resource]
Author(s): Joseph J Rotman
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:With a wealth of examples as well as abundant applications to Algebra, this is a must-read work: a clearly written, easy-to-follow guide to Homological Algebra. The author provides a treatment of Homological Algebra whichapproaches the subject in ter ms of its origins in algebraic topology. In this brand new edition the text has been fully updated and revised throughout and new material on sheaves and abelian categories has been added. Applicationsinclude the following: * to rings -- Lazard's theorem that flat modules are direct limits of free modules, Hilbert's Syzygy Theorem, Quillen-Suslin's solution of Serre's problem about projectives over polynomial rings,Serre-Auslander-Buchsbaum characterization of regular local rings (and a sketch of unique f actorization) * to groups -- Schur-Zassenhaus, Gaschutz's theorem on outer automorphisms of finite p-groups, Schur multiplier, cotorsiongroups * to sheaves -- sheaf cohomology, Cech cohomology, discussion of Riemann-Roch Theorem over compact Riemann surfa ces. Learning Homological Algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, andwhat this describes. Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic prope rties of spectral sequences are developed using exact couples. All is done in the context ofbicomplexes, for almost all applications of spectral sequences involve indices. Applications include Grothendieck spectral sequences, change of rings, Lyndon-Hochs child-Serre sequence, and theorems of Leray and Cartan computing sheafcohomology. Joseph Rotman is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign. He is the author of numerous successful textbooks, including Advanced M odern Algebra (Prentice-Hall 2002), Galois Theory,2nd Edition (Springer 1998) A First Course in Abstract Algebra (Prentice-Hall 1996), Introduction to the Theory of Groups, 4th Edition (Springer 1995)
Note:Springer eBooks
Contents:Preface to the second edition
How to read this book
Introduction
Hom and tensor
Special modules
Specific rings
Setting the stage
Homology
Tor and ext
Homology and rings
Homology and groups
Spectral sequences
References
Special notation
Index
ISBN:9780387683249
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2008-9789491216350:ONLINE Show nearby items on shelf
Title:Topological Groups and Related Structures [electronic resource]
Author(s): Alexander Arhangelskii
Mikhail Tkachenko
Date:2008
Publisher:Paris : Atlantis Press
Size:1 online resource
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Note:This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, theobjects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groupsand semigroups, paratopological groups, etc. S pecial emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of theoperation. The main scope of the book, however, is outside of the loca lly compact structures, thus distinguishing the monograph from a series of more traditional textbooks. The book is unique in that it presents very importantmaterial, dispersed in hundreds of research articles, not covered by any monograph in existence. Th e reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the wayto the frontier of the knowledge is quite short almost every section of the book contains several intriguing open proble ms whose solutions can contribute significantly to the area
Note:Springer eBooks
ISBN:9789491216350
Series:e-books
Series:SpringerLink (Online service)
Series:Atlantis Studies in Mathematics, 1875-7634 : v1
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Algebraic topology
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Call number:SPRINGER-2008-9783764387242:ONLINE Show nearby items on shelf
Title:A Natural Introduction to Probability Theory [electronic resource]
Author(s): Ronald Meester
Date:2008
Edition:Second Edition
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book [is] an excellent new introductory text on probability. The classical way of teaching probability is based on measure theory. In this book discrete and continuous probability are studied with mathematical precision,within the realm of Rieman n integration and not using notions from measure theory. Numerous topics are discussed, such as: random walks, weak laws of large numbers, infinitely many repetitions, strong laws of large numbers,branching processes, weak convergence and [the] central li mit theorem. The theory is illustrated with many original and surprising examples and problems. Zentralblatt Math Most textbooks designed for a one-year course inmathematical statistics cover probability in the first few chapters as preparation for the st atistics to come. This book in some ways resembles the first part of such textbooks: it's all probability, no statistics. But it does theprobability more fully than usual, spending lots of time on motivation, explanation, and rigorous development of the m athematics. The exposition is usually clear and eloquent. Overall, this is a five-star book on probability thatcould be used as a textbook or as a supplement. MAA online
Note:Springer eBooks
Contents:Preface
Experiments
Random Variables and Random Vectors
Random Walk
Limit Theorems
Intermezzo
Continuous Random Variables and Vectors
Infinitely Many Repetitions
The Poisson Process
Limit Theorems
Extending the Probabilities
Interpreting Probabilities
Further Reading
Answers to Selected Exercises
Index
ISBN:9783764387242
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2008-9783764374785:ONLINE Show nearby items on shelf
Title:Analysis II [electronic resource]
Author(s): Herbert Amann
Joachim Escher
Date:2008
Publisher:Basel : Birkhuser Basel
Size:1 online resource
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Note:The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and cleardevelopment that started in Volume I (3-7643-7153-6) continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is representedin traditional textbooks. This applies, for ins tance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another exampleis the presentation of the local theory of submanifolds of Rn
Note:Springer eBooks
Contents:Preface
VI. Integral Calculus in One Variable
1. Step Continuous Functions
2. Continuous Extensions
3. The Cauchy
Riemann Integral
4. Properties of the Integral
5. The Technology of Integration
6. Sums and Integrals
7. Fourier Series
8. Improper Integrals
9. The Gamma Function
VII. Differential Calculus in Several Variables
1. Continuous Linear Mappings
2. Differentiability
3. Calculation Rules
4. Multilinear Mappings
5. Higher Derivatives
6. Nemytski Operators and Calculus of Variations
7. Inverse Mappings
8. Implicit Functions
9. Manifolds
10. Tang
ISBN:9783764374785
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Functions of complex variables , Functions, special
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Call number:SPRINGER-2008-9783540683490:ONLINE Show nearby items on shelf
Title:Interpolation Processes [electronic resource] : Basic Theory and Applications
Author(s): Giuseppe Mastroianni
Gradimir V Milovanovi
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors present, with complete proofs,recent results on conver gent interpolation processes, for trigonometric and algebraic polynomials of one real variable, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. In thisspecial, but fundamental and important field of r eal analysis the authors present the state of art. Some 500 references are cited, including many new results of the authors. Basic tools in this field (orthogonal polynomials, moduli ofsmoothness, K-functionals, etc.) as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. Beside the basic propertiesof the classical orthogonal polynomials the book provides new results on nonclassical ortho gonal polynomials including methods for their numerical construction
Note:Springer eBooks
Contents:1. Constructive Elements and Approaches in Approximation Theory
1.1 Introduction to Approximation Theory
1.2 Basic Facts on Trigonometric Approximation
1.3 Chebyshev Systems and Interpolation
1.4 Interpolation by Algebraic Polynomials
2. Orthogonal Polynomials and Weighted Polynomial Approximation
2.1 Orthogonal Systems and Polynomials
2.2 Orthogonal Polynomials on the Real Line
2.3 Classical Orthogonal Polynomials
2.4 Nonclassical Orthogonal Polynomials
2.5 Weighted Polynomial Approximation
3. Trigonometric Approximation
3.1 Approximating Properties of Oper
ISBN:9783540683490
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Integral equations , Sequences (Mathematics) , Functions, special
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Call number:SPRINGER-2008-9781848000483:ONLINE Show nearby items on shelf
Title:Probability Theory [electronic resource] : A Comprehensive Course
Author(s): Achim Klenke
Date:2008
Publisher:London : Springer London
Size:1 online resource
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Note:Probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineering and computer science. They help us to understand magnetism, amorphous media, genetic diversity and the perils ofrandom developments on the financial markets, and they guide us in constructing more efficient algorithms. This text is a comprehensive course in modern probability theory and its measure-theoretical foundations. Aimed primarily atgraduate students and researchers, the book cov ers a wide variety of topics, many of which are not usually found in introductory textbooks, such as: limit theorems for sums of random variables martingales percolation Markov chainsand electrical networks construction of stochastic processes Poisson poi nt processes and infinite divisibility large deviation principles and statistical physics Brownian motion and stochastic integral and stochastic differentialequations. The theory is developed rigorously and in a self-contained way, with the chapters on me asure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world ofprobability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation
Note:Springer eBooks
Contents:Basic Measure Theory
Independence
Generating Functions
The Integral
Moments and Laws of Large Numbers
Convergence Theorems
Lp
Spaces and the Radon
Nikodym Theorem
Conditional Expectations
Martingales
Optional Sampling Theorems
Martingale Convergence Theorems and Their Applications
Backwards Martingales and Exchangeability
Convergence of Measures
Probability Measures on Product Spaces
Characteristic Functions and the Central Limit Theorem
Infinitely Divisible Distributions
Markov Chains
Convergence of Markov Chains
Markov Chains and Electric
ISBN:9781848000483
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2008-9781846289729:ONLINE Show nearby items on shelf
Title:Sturm-Liouville Theory and its Applications [electronic resource]
Author(s): M. A Al-Gwaiz
Date:2008
Publisher:London : Springer London
Size:1 online resource
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Note:Undergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric content which comes with treating the subject within the inner product space L2. This book, developed from acourse taught to senior und ergraduates, provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The basic results of this theory, namely the orthogonality and completeness ofits eigenfunctions, are established in Chapter 2 the remaining chapters present examples and applications. The last two chapters, on Fourier and Laplace transformations, while not part of the Sturm-Liouville theory, extend the Fourierseries method for representing functions to integral representations . The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions, and assumes a solid background in advancedcalculus and an acquaintance with ordinary differential equations and linear algebra. Familiari ty with the relevant theorems of real analysis, such as the AscoliArzel theorem, is also useful for following the proofs. Thepresentation follows a clear and rigorous mathematical style that is both readable and well motivated, with many examples and appl ications used to illustrate the theory. Although addressed primarily to undergraduate students ofmathematics, the book will also be of interest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functio ns are used extensively for solving linear differential equations
Note:Springer eBooks
Contents:Inner Product Space
The SturmLiouville Theory
Fourier Series
Orthogonal Polynomials
Bessel Functions
The Fourier Transformation
The Laplace Transformation
ISBN:9781846289729
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential Equations , Functions, special , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2008-9780387789019:ONLINE Show nearby items on shelf
Title:Lattices and Ordered Sets [electronic resource]
Author(s): Steven Roman
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study.Prerequisites are ke pt to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. The book has an excellent choice of topics, including a chapter on wellordering and ordinal numbers, which is not u sually found in other texts. The approach is user-friendly and the presentation is lucid. There are more than 240 carefully chosen exercises. Topic coverage includes: modular, semimodular anddistributive lattices, boolean algebras, representation of distr ibutive lattices, algebraic lattices, congruence relations on lattices, free lattices, fixed-point theorems, duality theory and more. Steven Roman is the author of manysuccessful textbooks, including Advanced Linear Algebra, 3rd Edition (Springer 2007), F ield Theory, 2nd Edition (Springer 2005), and Introduction to the Mathematics of Finance (2004)
Note:Springer eBooks
Contents:Preface
Partially Ordered Sets
Well
Ordered Sets
Lattices
Modular and Distributive Lattices
Boolean Algebras
The Representation of Distributive Lattices
Algebraic Lattices
Prime and Maximal Ideals: Separation Theorems
Congruence Relations on Lattices
Duality for Distributive Lattices: The Priestley Topology
Free Lattices
Fixed
Point Theorems
Appendix A: A Bit of Topology
Appendix B: A Bit of Category Theory
References
Index of Symbols
Index
ISBN:9780387789019
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2008-9780387754819:ONLINE Show nearby items on shelf
Title:History of Mathematics [electronic resource] : A Supplement
Author(s): Craig Smoryski
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:This book attempts to fill two gaps which exist in the standard textbooks on the History of Mathematics. One is to provide students with material that could encourage more critical thinking. General textbooks, attempting to coverthree thousand years of mathematical history, must necessarily oversimplify almost everything, the practice of which can scarcely promote a critical approach to the subject. For this reason, Craig Smorynski chooses a more narrow butdeeper coverage of a few select topics. The second aim of this book is to include the proofs of important results which are typically neglected in the modern history of mathematics curriculum. The most obvious of these is the oft-citednecessity of introducing complex numbers in applying the algebra ic solution of cubic equations. This solution, though it is now relegated to courses in the History of Mathematics, was a major occurrence in the history of mathematics.It was the first substantial piece of mathematics in Europe that was not a mere extens ion of what the Greeks had done and thus signified the coming of age of European mathematics. The fact that the solution, in the case of threedistinct real roots to a cubic, necessarily involved complex numbers both made inevitable the acceptance and stud y of these numbers and provided a stimulus for the development of numerical approximation methods. Other unique featuresinclude: * a prefatory essay on the ways in which sources may be unreliable, followed by an annotated bibliography * a modern recountin g of a Chinese word problem from the 13th century, illustrating the need for consulting multiplesources when the primary source is unavailable * the solution of the cubic equation, including multiple proofs that the algebraic solution uses complex numbers whenever the cubic equation has three distinct real solutions * acritical reappraisal of Horner's Method The final chapter contains lighter material, including a critical look at North Korea's stam
Note:Springer eBooks
Contents:Introduction
Annotated Bibliography
Foundations of Geometry
The Construction Problems of Antiquity
A Chinese Problem
The Cubic Equation
Horners Method
Some Lighter Material
Appendix A: Small Projects
Index
ISBN:9780387754819
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry , Mathematics_$xHistory
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Call number:SPRINGER-2008-9780387724881:ONLINE Show nearby items on shelf
Title:Algebra [electronic resource] : Fields with Structure, Algebras and Advanced Topics
Author(s): Falko Lorenz
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by afirst course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions andalgebraic geometry. The main focus of the seco nd volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of afield, the calculus of Witt vectors, the Schur group of a field, a nd local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the Germanversion: This is a charming textbook, introducing the reader to the classical parts of algebr a. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at leastin the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews
Note:Springer eBooks
Contents:Ordered Fields and Real Fields
Hilbert's Seventeenth Problem and the Real Nullstellensatz
Orders and Quadratic Forms
Absolute Values on Fields
Residue Class Degree and Ramification Index
Local Fields
Witt Vectors
The Tsen Rank of a Field
Fundamentals of Modules
Wedderburn Theory
Crossed Products
The Brauer Group of a Local Field
Local Class Field Theory
Semisimple Representations of Finite Groups
The Schur Group of a Field
ISBN:9780387724881
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Field theory (Physics) , Matrix theory , Number theory
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Call number:SPRINGER-2008-9780387718132:ONLINE Show nearby items on shelf
Title:Design and Analysis of Simulation Experiments [electronic resource]
Author(s): Jack P.C Kleijnen
Date:2008
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is an advanced expository book on statistical methods for the Design and Analysis of Simulation Experiments (DASE). Though the book focuses on DASE for discrete-event simulation (such as queuing and inventory simulations),it also discusses DASE for deterministic simulation (such as engineering and physics simulations). The text presents both classic and modern statistical designs. Classic designs (e.g., fractional factorials) assume only a few factorswith a few values per factor. The resulting i nput/output data of the simulation experiment are analyzed through low-order polynomials, which are linear regression (meta)models. Modern designs allow many more factors, possible with manyvalues per factor. These designs include group screening (e.g., S equential Bifurcation, SB) and space filling designs (e.g., Latin Hypercube Sampling, LHS). The data resulting from these modern designs may be analyzed through low-orderpolynomials for group screening and various metamodel types (e.g., Kriging) for LHS. In this way, the book provides relatively simple solutions for the problem of which scenarios to simulate and how to analyze the resulting data. Thebook also includes methods for computationally expensive simulations. It discusses only those tactical issu es that are closely related to strategic issues i.e., the text briefly discusses run-length and variance reduction techniques.The leading textbooks on discrete-event simulation pay little attention to the strategic issues of simulation. The author has bee n working on strategic issues for approximately forty years, in various scientific disciples--such asoperations research, management science, industrial engineering, mathematical statistics, economics, nuclear engineering, computer science, and informatio n systems. The intended audience is comprised of researchers, graduate students,and mature practitioners in the simulation area. They are assumed to have a basic knowledge of simulation and mathematica
Note:Springer eBooks
Contents:Preface
Introduction
Black Box Metamodels
Low
Order Polynomial Regression
Metamodels and Designs: A Single Factor
Low
Order Polynomial Models and Designs: Multiple Factors
Low
Order Polynomial Models and Screening Designs: Hundreds of Factors
Kriging Metamodels
Latin Hypercube Sampling (LHS) and other Space
Filling Designs
Cross
Validation of Metamodels
Conclusions and Further Research
ISBN:9780387718132
Series:e-books
Series:SpringerLink (Online service)
Series:International Series in Operations Research & Management Science, 0884-8289 : v111
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics , Engineering design , Industrial engineering
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Call number:SPRINGER-2007-9783540715849:ONLINE Show nearby items on shelf
Title:Numerical Treatment of Partial Differential Equations [electronic resource] : Translated and revised by Martin Stynes
Author(s): Christian Grossmann
Hans-Gorg Roos
Martin Stynes
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This book deals with discretization techniques for elliptic, parabolic and hyperbolic partial differential equations. It provides an introduction to the main principles of discretizations and presents to the reader the ideas andanalysis of advanced n umerical methods in this area. It is the authors' aim to give mathematically-inclined students, scientists and engineers a textbook that contains all the basic discretization techniques for the three fundamentaltypes of partial differential equations and in which the reader can find analytical tools, properties of discretizations, and some advice on algorithmic aspects. The book also covers recent research developments: for instance,introductions are given to a posteriori error estimation, discontinuous G alerkin methods, and optimal control for partial differential equations---these topics of current interest are rarely considered in other textbooks. While finiteelement methods are the main focus of the book, finite difference methods and finite volume te chniques are also presented. Furthermore, the book provides the basic tools needed to solve the discrete problems generated, while chapterson singularly perturbed problems, variational inequalities and optimal control illuminate special topics that reflec t the research interests of the authors
Note:Springer eBooks
Contents:Notation
1 Basics
2 Finite Difference Methods
3 Weak Solutions
4 The Finite Element Method
5 Finite Element Methods for Unsteady Problems
6 Singularly Perturbed Boundary Value Problems
7 Variational Inequalities, Optimal Control
8 Numerical Methods for Discretized Problems
Bibliography: Textbooks and Monographs
Bibliography:Original Papers
Index
ISBN:9783540715849
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2007-9781402057960:ONLINE Show nearby items on shelf
Title:Factorization Method in Quantum Mechanics [electronic resource]
Author(s): Shi-Hai Dong
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:This Work introduces the factorization method in quantum mechanics at an advanced level with an aim to put mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantumcontrol at the Reader s disposal. For this purpose a comprehensive description is provided of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in the existingquantum mechanics textbooks. Related to this cl assic method are the supersymmetric quantum mechanics, shape invariant potentials and group theoretical approaches. It is no exaggeration to say that this method has become the milestoneof these approaches. In fact the Authors driving force has been his d esire to provide a comprehensive review volume that includes some new and significant results about the factorization method in quantum mechanics since theliterature is inundated with scattered articles in this field, and to pave the Readers way into this territory as rapidly as possible. The result: clear and understandable derivations with the necessary mathematical steps includedso that the intelligent reader should be able to follow the text with relative ease, in particular when mathematically diffic ult material is presented. Audience: Researchers and students of physics, mathematics, chemistry andelectrical engineering
Note:Springer eBooks
ISBN:9781402057960
Series:e-books
Series:SpringerLink (Online service)
Series:Fundamental Theories of Physics : v150
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics
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Call number:SPRINGER-2007-9780817645861:ONLINE Show nearby items on shelf
Title:Dynamical Systems with Applications using Mathematica [electronic resource]
Author(s): Stephen Lynch
Date:2007
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
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Note:Dynamical Systems with Applications using Mathematica provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes thereader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics,and neural networks. Mathematicas symbolic, numeri cal, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematicastext-based input commands and palettes, enabling new users to become familiar with th e program, while providing a good reference source for experts. Working Mathematica notebooks will be available athttp://library.wolfram.com/infocenter/Books/AppliedMathematics/. Throughout the book, the author has focused on breadth of coverage rather th an fine detail, with theorems and proofs being kept to a minimum. The first part of the bookdeals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the mater ial presented is at the postgraduate level and has been influenced bythe authors own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work. The book is intended for senior undergraduate andgraduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independ ent project work.Also by the author: Dynamical Systems with Applications using MATLAB, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4
Note:Springer eBooks
Contents:Preface
A Tutorial Introduction to Mathematica
Differential Equations
Planar Systems
Interacting Species
Limit Cycles
Hamiltonian Systems, Lyapunov Functions, and Stability
Bifurcation Theory
Three
Dimensional Autonomous Systems and Chaos
Poincar Maps and Nonautonomous Systems in the Plane
Local and Global Bifurcations
The Second Part of David Hilbert's Sixteenth Problem
Linear Discrete Dynamical Systems
Nonlinear Discrete Dynamical Systems
Complex Iterative Maps
Electromagnetic Waves and Optical Resonators
Fractals and Multifractals
Chaos C
ISBN:9780817645861
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Engineering mathematics , Engineering
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Call number:SPRINGER-2007-9780387692005:ONLINE Show nearby items on shelf
Title:Einstein's General Theory of Relativity [electronic resource] : With Modern Applications in Cosmology
Author(s): yvind Grn
Sigbjrn Hervik
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Many of us have experienced the same fallen and broken something. Yet supposedly, gravity is the weakest of the fundamental forces it is claimed to be 10-15 times weaker than electromagnetism. Still, every one of us has more orless had a personal rel ationship with gravity. Einsteins General Theory of Relativity: With Modern Applications in Cosmology by Oyvind Gron and Sigbjorn Hervik is about gravity and the concept of gravity as Albert Einstein saw it-curved spaces, four-dimensional manifolds and ge odesics. The book starts with the 1st principals of relativity and an introduction to Einsteins field equations. Next up are the three classical tests of the relativity theory and anintroduction to black holes. The book contains several topics not found i n other textbooks, such as Kaluza-Klein theory, anisotropic models of the universe, and new developments involving brane cosmology. Gron and Hervik have includeda part in the book called Advanced Topics. These topics range from the very edge of research t o older, accepted ideas. In particular, the last two chapters deal with Einstein gravity in five dimensions, which has been a hot topicof research in recent years. On one final note, cosmology has also proven to be a very important testing arena for the g eneral theory of relativity and a large part of the book is therefore devoted to this subject
Note:Springer eBooks
Contents:Newtonian Physics and Special Relativity
Relativity Principals and Gravitation
The Special Theory of Relativity
The Mathematics of the General Theory of Relativity
Vectors, Tensors, and Forms
Basis Vector Fields and Metric Tensor
Non
inertial Reference Frames
Differentiation, Connections and Integration
Curvature
Einstein's Field Equations
Einstein's Field Equations
The Linear Field Approximation
The Schwarzschild Solution and Black Holes
Cosmology
Homogeneous and Isotropic Universe Models
Universe Models with Vacuum Energy
An Anisotropic Univers
ISBN:9780387692005
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics
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Call number:SPRINGER-2007-9780387681207:ONLINE Show nearby items on shelf
Title:A Topological Picturebook [electronic resource]
Author(s): George K Francis
Date:2007
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Praise for George Francis's A Topological Picturebook: Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the newgeneration what ``han ds on'' really means. - John Stillwell, University of San Francisco The Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think. - Tony Robbin, artist and author ofShadows of Reality: The Fourth Dimension in R elativity, Cubism, and Modern Thought The classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces. - John Sullivan,Technische Universitat Berlin A Topological Picturebook lets stud ents see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks. - Jeffrey Weeks, author of TheShape of Space A Topological Picturebook is a visual feast for anyone concerned with mathematical images. Francis provides exquisite examples to build one's visualization muscles. At the same time, he explains the underlyingprinciples and design techniques for readers to create their own lucid drawings. - George W. Hart, Stony Brook Unive rsity In this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates thechicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has bee n won, and now it is time to reflect on their meaning. A Topological Picturebook remainsindispensable. - Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer
Note:Springer eBooks
Contents:1 Descriptive Topology
2 Methods and Media
3 Pictures in Perspective
4 The Impossible Tribar
5 Shadows from Higher Dimension
6 Sphere Eversions
7 Group Pictures
8 The Figure Eight Knot
Postscript
ISBN:9780387681207
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Topology
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Call number:SPRINGER-2007-9780387489469:ONLINE Show nearby items on shelf
Title:The Geometry of an Art [electronic resource] The History of the Mathematical Theory of Perspective from Alberti to Monge
Author(s): Kirsti Andersen
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This monograph describes how the understanding of the geometry behind perspective evolved between the years 1435 and 1800 and how new insights within the mathematical theory of perspective influenced the way the discipline waspresented in textbooks. In order to throw light on these issues, the author has chosen to focus on a number of key questions, including: What were the essential innovations in the mathematical theory of perspective? Was thereany interplay between the developments of the mathem atical theory of perspective and other branches of geometry? What were the driving forces behind working out an advanced mathematical theory of perspective? Were thereregional differences in the mathematical approach to perspective? And if so, how did t hey relate to local applications of perspective? How did mathematicians and practitioners of perspective interact? In fact, the last issue istouched upon so often that a considerable part of this book could be seen as a case study of the difficulties in bridging the gap between those with mathematical knowledge and the mathematically untrained practitioners who wish to usethis knowledge. The author has based her work on more than 200 books, booklets, and pamphlets on perspective. She starts with the firs t treatise known to deal with geometrical perspective, Leon Alberti Battistas De pictura, and endsaround 1800, when the theory of mathematical perspective as an independent discipline was absorbed first into descriptive geometry and later into projective geometry. The prominent protagonists are Guidobaldo del Monte, Simon Stevin,Willem sGravesande, Brook Taylor, and Johann Heinrich Lambert. As far as data were available, the author has provided brief biographies of all the writers on perspective whose wor k she studied. The book also contains an extensivebibliography divided into two parts, one for primary sources on perspective, and the second for all other literature. Kirsti Anders
Note:Springer eBooks
Contents:Introduction
Acknowledgements
Notes to the reader
The birth of perspective
Alberti and Piero della Francesca
Leonardo da Vinci
Italy in cinquecento
North of the Alps before sixteen hundred
The birth of the mathematical theory of perspective: Guidobaldo and Stevin
The Dutch development after Stevin
Italy after Guidobaldo
France and the Southern Netherlands after 1600
Britain
The German speaking areas after 1600
Lambert
Monge closing a circle
Summing up
Appendix: On ancient roots of perspective
Appendix: The Appearance of a rectangle la Le
ISBN:9780387489469
Series:e-books
Series:SpringerLink (Online service)
Series:Sources and Studies in the History of Mathematics and Physical Sciences
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Mathematics_$xHistory
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Call number:SPRINGER-2007-9780387488998:ONLINE Show nearby items on shelf
Title:Exercises in Modules and Rings [electronic resource]
Author(s): T. Y Lam
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:For the Backcover This Problem Book offers a compendium of 639 exercises of varying degrees of difficulty in the subject of modules and rings at the graduate level. The material covered includes projective, injective, and flatmodules, homological and uniform dimensions, noncommutative localizations and Goldies theorems, maximal rings of quotients, Frobenius and quasi-Frobenius rings, as well as Moritas classical theory of category dualities andequivalences. Each of the nineteen sections begins with a n introduction giving the general background and the theoretical basis for the problems that follow. All exercises are solved in full detail many are accompanied by pertinenthistorical and bibliographical information, or a commentary on possible improveme nts, generalizations, and latent connections to other problems. This volume is designed as a problem book for the authors Lectures on Modules and Rings(Springer GTM, Vol. 189), from which the majority of the exercises were taken. Some forty new exercises have been added to further broaden the coverage. As a result, this book is ideal both as a companion volume to Lectures, and as asource for independent study. For students and researchers alike, this book will also serve as a handy reference for a copious amount of information in algebra and ring theory otherwise unavailable from textbooks. An outgrowth of theauthors lecture courses and seminars over the years at the University of California at Berkeley, this book and its predecessor Exercises in Classica l Ring Theory (Springer, 2003) offer to the mathematics community the fullest andmost comprehensive reference to date for problem solving in the theory of modules and rings
Note:Springer eBooks
Contents:Free Modules
Projective and Injective Modules
Flat Modules and Homological Dimensions
More Theory of Modules
Rings of Quotients
More Rings of Quotients
robenius and Quasi
Frobenius Rings
Matrix Rings, Categories of Modules, and Morita Theory
ISBN:9780387488998
Series:e-books
Series:SpringerLink (Online service)
Series:Problem Books in Mathematics, 0941-3502
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2006-9783540348061:ONLINE Show nearby items on shelf
Title:The Wulff Crystal in Ising and Percolation Models [electronic resource] Ecole d'Et de Probabilits de Saint-Flour XXXIV - 2004
Author(s): Raphal Cerf
Jean Picard
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can befound only in research pa pers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted
Note:Springer eBooks
Contents:Phase coexistence and subadditivity
Ising models
Bernoulli percolation
FK or random cluster model
The Wulff crystal
Large deviation theory
Surface large deviation principles
Volume large deviations
Coarse graining
Decoupling
Surface tension
Interface estimate
Sets of finite perimeter
Surface energy
The Wulff theorem
LDP for the cluster shapes
Enhanced upper bound
LDP for FK percolation
LDP for ising
ISBN:9783540348061
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1878
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Distribution (Probability theory) , Mathematical physics
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Call number:SPRINGER-2006-9783540330677:ONLINE Show nearby items on shelf
Title:Compact Riemann Surfaces [electronic resource] : An Introduction to Contemporary Mathematics
Author(s): Jrgen Jost
Date:2006
Edition:Third Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporarymathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in includingan introduction to Teichmller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation
Note:Springer eBooks
Contents:Topological Foundations
Differential Geometry of Riemann Surfaces
Harmonic Maps
Teichmller Spaces
Geometric Structures on Riemann Surfaces
Erratum to: Characterizing Programming Systems Allowing Program Self
reference
ISBN:9783540330677
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
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Call number:SPRINGER-2006-9783540294719:ONLINE Show nearby items on shelf
Title:Radiation Physics for Medical Physicists [electronic resource]
Author(s): Ervin B Podgorak
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This book summarizes the radiation physics knowledge that professionals working in medical physics need to master for efficient and safe dealings with ionizing radiation. It contains eight chapters, each chapter covering aspecific group of subjects r elated to radiation physics and is intended as a textbook for a course in radiation physics in medical-physics graduate programs. However, the book may also be of interest to the large number ofprofessionals, not only medical physicists, who in their dail y occupations deal with various aspects of medical physics and find a need to improve their understanding of radiation physics. The main target audience for this book isgraduate students studying for M.Sc. and Ph.D. degrees in medical physics, who have to possess the necessary physics and mathematics background knowledge to be able to follow and master the complete textbook. Medical residents,technology students and biomedical engineering students may find certain sections too challenging or esoteric, yet they will find many sections interesting and useful in their studies. Candidates preparing for professionalcertification exams in any of the medical physics subspecialties should find the material useful, and some of the material would also help candidat es preparing for certification examinations in medical dosimetry or radiation-relatedmedical specialties. Numerous textbooks are available covering the various subspecialties of medical physics but they generally make a transition from the elementary basi c physics directly into the intricacies of the given medicalphysics subspecialty. The intent of this textbook is to provide the missing link between the elementary physics on the one hand and the physics of the subspecialties on the other hand
Note:Springer eBooks
Contents:Introduction to Modern Physics
Rutherford
Bohr Atomic Model
Production of X
rays
Two
Particle Collisions
Charged Particle Stopping Powers
Interactions of Neutrons with Matter
Photon Interactions with Matter
Radioactivity
ISBN:9783540294719
Series:e-books
Series:SpringerLink (Online service)
Series:Biological and Medical Physics, Biomedical Engineering, 1618-7210
Series:Physics and Astronomy (Springer-11651)
Keywords: Radiology, Medical , Nuclear medicine , Particle acceleration , Biomedical engineering
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Call number:SPRINGER-2006-9783540291565:ONLINE Show nearby items on shelf
Title:Introduction to Wave Scattering, Localization and Mesoscopic Phenomena [electronic resource]
Author(s): Sheng Ping
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Waves represent a classic topic of study in physics, mathematics, and engineering. Many modern technologies are based on our understanding of waves and their interaction with matter. In the past thirty years there have been somerevolutionary developm ents in the study of waves. The present volume is the only available source which details these developments in a systematic manner, with the aim of reaching a broad audience of non-experts. It is an importantresource book for those interested in understa nding the physics underlying nanotechnology and mesoscopic phenomena, as well as for bridging the gap between the textbooks and research frontiers in any wave related topic. A specialfeature of this volume is the treatment of classical and quantum mechani cal waves within a unified framework, thus facilitating an understanding of similarities and differences between the two
Note:Springer eBooks
Contents:Introduction
Quantum and classical waves
Wave scattering and the coherent potential approximation
Coherent waves and effective media
Diffusive waves
The coherent backscattering effect
Renormalized diffusion
The scaling theory of localization
Localized states and the approach to localization
Localization phenomena in electronic systems
Mesoscopic phenomena
ISBN:9783540291565
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in MATERIALS SCIENCE, 0933-033X : v88
Series:Physics and Astronomy (Springer-11651)
Keywords: Nanotechnology
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Call number:SPRINGER-2006-9780387472898:ONLINE Show nearby items on shelf
Title:Spinning Flight [electronic resource] : Dynamics of Frisbees, Boomerangs, Samaras, and Skipping Stones
Author(s): Ralph D Lorenz
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:More frisbees are sold each year than baseballs, basketballs, and footballs combined. Yet these familiar flying objects have subtle and clever aerodynamic and gyrodynamic properties which are only recently being documented bywind tunnel and other stu dies. In common with other rotating bodies discussed in this readily accessible book, they are typically not treated in textbooks of aeronautics and the literature is scattered in a variety of places. This bookdevelops the theme of disc-wings and spinning aerospace vehicles in parallel. Many readers will have enjoyed these vehicles and their dynamics in recreational settings, so this book will be of wide interest. In addition to spinningobjects of various shapes, several exotic manned aircraft with disc p latforms have been proposed and prototypes built - these include a Nazi secret weapon and the De Havilland Avrocar, also discussed in the book. Boomerangsrepresent another category of spinning aerodynamic body whose behavior can only be understood by coup ling aerodynamics with gyrodynamics. The narrative, supported by equations and graphs, explains how the shape and throw of a boomerangrelates to its trajectory. The natural world presents still other examples, namely the samaras or seed-wings of many tree species, which autorotate during their descent, like a helicopter whose engine has failed. In short, thisbook discusses a range of familiar, connected, but largely undeveloped, topics in an accessible, but complete manner. Toys familiar to all of us are covered as well as high-tech products of the aerospace industry. Spinning Flightincludes not only the latest published results but also describes Lorenzs own experiments with how-to instructions on how readers can do their own experiments
Note:Springer eBooks
Contents:Aerodynamics of Balls
Bouncing Balls, Airbags, and Tumbleweeds
Spinning Bullets, Bombs, and Rockets
Satellites and Spin
Encountering Asteroids and Comets
Planetary Probes and Spinning Parachutes
Frisbees
Spinning Cylinders and Rings
Spinning Aircraft and Nonspinning Disc Aircraft
The Boomerang
Samaras
Skipping Stones and Bouncing Bombs
Conclusions
ISBN:9780387472898
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mechanics , Astrophysics
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Call number:SPRINGER-2006-9780387342412:ONLINE Show nearby items on shelf
Title:A Concise Introduction to Mathematical Logic [electronic resource]
Author(s): Wolfgang Rautenberg
Date:2006
Edition:2
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create alogistic foundation for m athematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there arealready several well-known textbooks on mathematical logic, this book is unique in that it is more concise than most others the material is treated in a streamlined fashion. This allows the lecturer to select the material for aone-semester course on a topic more easily. Although the book is intended for us e as a graduate text, the first three chapters could be understood by undergraduates interested in mathematical logic. These initial chapters cover justthe material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving,non-standard models and related subjects. The other chapters contain material on logic programming for computer scientists, mod el theory, recursion theory, Gdel's Incompleteness Theorems, and applications of mathematical logic.Philosophical and foundational problems of mathematics are discussed where appropriate. The author has provided exercises for each section, as well as hint s or even complete solutions to most exercises at the end of the book. From theforeword, written by Lev Beklemishev: a well-written introduction to this beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Gdels incompleteness theorems,as well as some topics motivated by applications, such as a chapter on logic programming. The author has taken great care to make the expositi
Note:Springer eBooks
Contents:Foreword
Preface
Introduction
Notation
Propositional Logic
Predicate Logic
Gdels Completeness Theorem
The Foundations of Logic Programming
Elements of Model Theory
Incompleteness and Undecidability
On the Theory of Self
Reference
Hints to the Exercises
Literature
Index of Terms and Names
Index of Symbols
ISBN:9780387342412
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Logic, Symbolic and mathematical
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Call number:SPRINGER-2006-9780387316086:ONLINE Show nearby items on shelf
Title:Algebra [electronic resource] : Fields and Galois Theory
Author(s): Falko Lorenz
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by afirst course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions andalgebraic geometry. The main focus of the seco nd volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, diophantinedimensions of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews ofthe German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are,at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews
Note:Springer eBooks
Contents:Constructibility with Ruler and Compass
Algebraic Extensions
Simple Extensions
Fundamentals of Divisibility
Prime Factorization in Polynomial Rings. Gausss Theorem
Polynomial Splitting Fields
Separable Extensions
Galois Extensions
Finite Fields, Cyclic Groups and Roots of Unity
Group Actions
Applications of Galois Theory to Cyclotomic Fields
Further Steps into Galois Theory
Norm and Trace
Binomial Equations
Solvability of Equations
Integral Ring Extensions with Applications to Galois Theory
The Transcendence of ?
Fundamentals of Transcenden
ISBN:9780387316086
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Field theory (Physics) , Number theory
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Call number:SPRINGER-2006-9780387277318:ONLINE Show nearby items on shelf
Title:Probability Theory with Applications [electronic resource]
Author(s): M. M Rao
R. J Swift
Date:2006
Edition:Second Edition
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Probability Theory and Applications is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including someimportant applications. This n ew edition contains a detailed treatment of the core area of probability, and both structural and limit results are presented in full detail. Compared to the first edition, the material and presentationare better highlighted with several (small and large) alterations made to each chapter. Key features of the book include: indicating the need for abstract theory even in applications and showing the inadequacy of existing resultsfor certain apparently simple real-world problems attempting to deal with the existence problems for various classes of random families that figure in the main results of the subject providing a treatment of conditionalexpectations and of conditional probabilities that is more complete than in other existing textbooks. Since this is a textbook, essentially all proofs are given in complete detail (even at the risk of repetition), and some key resultsare given multiple proofs when each argument has something to contribute. Audience This book is intended for graduate students and re searchers interested in probability theory
Note:Springer eBooks
Contents:Part I. Foundations
1. Background Material and Preliminaries
2. Independence and Strong Convergence
3. Conditioning and some Dependence Classes
Part II. Analytical Theory
4. Probability Distributions and Characteristic Functions
5. Weak Limit Laws
Part III. Applications
6. Stopping Times, Martingales, and Convergences
7. Limit Laws for some Dependent Sequences
8. A Glimpse of Stochastic Processes
References
Author Index
Subject Index
ISBN:9780387277318
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Its Applications : v582
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Distribution (Probability theory)
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Call number:SPRINGER-2005-9783764373238:ONLINE Show nearby items on shelf
Title:Analysis I [electronic resource]
Author(s): Herbert Amann
Joachim Escher
Date:2005
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is the first of a three volume introduction to analysis. It is distinguished by its modern and clear presentation, concentrating always on the essential concepts. In contrast to most other textbooks, there is noartificial separation between the theories of one variable and that of many variables. Emphasis is placed on the early development of a solid foundation in topology. As well, the basics of complex analysis are covered. This book isdirected primarily to the students and instructors of beginning courses in analysis. But, with the many examples, exercises and the supplementary material, it is also suitable for self-study, as preparation for advanced study, and as abasis for other research in mathematics and physics. This textbook provid es an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essential.'' Zeitschrift fr Analysisund ihre Anwendung 18, No. 4 (G. Berger, review of the first German edition) One advantage of this p resentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' W. Grlz, reviewof the first German edition
Note:Springer eBooks
Contents:Preface
I. Basics
II.Convergence
III. Continuous Functions
IV. Calculus in One Variable
V. Sequences of Functions
Bibliography
Index
ISBN:9783764373238
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2005-9783540299264:ONLINE Show nearby items on shelf
Title:Analysis II [electronic resource] : Differential and Integral Calculus, Fourier Series, Holomorphic Functions
Author(s): Roger Godement
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences atParis VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches tothe main results, in order to initiate the read er to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas overcalculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first twovolumes are now available in English
Note:Springer eBooks
Contents:Differential and Integral Calculus
The Riemann Integral
Integrability Conditions
The Fundamental Theorem (FT)
Integration by parts
Taylors Formula
The change of variable formula
Generalised Riemann integrals
Approximation Theorems
Radon measures in ? or ?
Schwartz distributions
Asymptotic Analysis
Truncated expansions
Summation formulae
Harmonic Analysis and Holomorphic Functions
Analysis on the unit circle
Elementary theorems on Fourier series
Dirichlets method
Analytic and holomorphic functions
Harmonic functions and Fourie
ISBN:9783540299264
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2005-9780387276021:ONLINE Show nearby items on shelf
Title:An Introduction to Difference Equations [electronic resource]
Author(s): Saber Elaydi
Date:2005
Edition:Third Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate andbeginning graduate s tudents. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recentresults on local and global stability of o ne-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model. SaberElaydi is Professor of Mathematics at Trinity University. He is also the author of Discrete Chaos (1999), and the Editor-In-Chief of the Journal of Difference Equations and Applications. About the Second Edition: The book is a valuablereference for anyone who models discrete systems. Dynamicists have the long-awaited disc rete counterpart to standard textbooks such as Hirsch and Smale ('Differential Equations, Dynamical Systems, and Linear Algebra'). It is so wellwritten and well designed, and the contents are so interesting to me, that I had a difficult time putting it do wn. - Shandelle Henson, Journal of Difference Equations and Applications Among the few introductory texts to differenceequations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-tr ansform method (including a study of Volterra systems), and asymptotic behavior of solutions ofdifference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology,Markov chains, economics, and heat transfer... -Martin Bohner, University of Missouri, Rolla
Note:Springer eBooks
Contents:Preface
List of Symbols
Dynamics of First
Order Difference Equations
Linear Difference Equations of Higher Order
Systems of Linear Difference Equations
Stability Theory
Higher Order Scalar Difference Equations
The Z
Transform Method and Volterra Difference Equations
Oscillation Theory
Asymptotic Behavior of Difference Equations
Applications to Continued Fractions and Orthogonal Polynomials
Control Theory
Answers and Hints to Selected Problems
Appendix A: Stability of Nonhyperbolic Fixed Points of Maps on the Real Line
Vandermonde Matrix
Stability of
ISBN:9780387276021
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional equations
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Call number:SPRINGER-2001-9781489928498:ONLINE Show nearby items on shelf
Title:Dynamical Systems with Applications using MAPLE
Author(s): Stephen Lynch
Date:2001
Size:1 online resource (399 p.)
Note:10.1007/978-1-4899-2849-8
Contents:0 A Tutorial Introduction to Maple -- 1 Differential Equations -- 2 Linear Systems in the Plane -- 3 Nonlinear Systems in the Plane -- 4 Interacting Species -- 5 Limit Cycles -- 6 Hamiltonian Systems, Lyapunov Functions, and Stability
-- 7 Bifurcation Theory -- 8 Three-Dimensional Autonomous Systems and Chaos -- 9 Poincaré Maps and Nonautonomous Systems in the Plane -- 10 Local and Global Bifurcations -- 11 The Second Part of David Hilbert’s Sixteenth Problem -- 12
Limit Cycles of Liénard Systems -- 13 Linear Discrete Dynamical Systems -- 14 Nonlinear Discrete Dynamical Systems -- 15 Complex Iterative Maps -- 16 Electromagnetic Waves and Optical Resonators -- 17 Analysis of Nonlinear Optical
Resonators -- 18 Fractals -- 19 Multifractals -- 20 Controlling Chaos -- 21 Examination-Type Questions -- 22 Solutions to Exercises -- References -- Textbooks -- Research Papers
ISBN:9781489928498
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Differential equations , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematical models , Complexity, Computational , Physics , Theoretical, Mathematical and Computational Physics , Computational Mathematics and Numerical Analysis , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Ordinary Differential Equations , Complexity
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Call number:SPRINGER-1996-9783034891738:ONLINE Show nearby items on shelf
Title:Mathematics of the 19th Century Geometry, Analytic Function Theory
Author(s):
Date:1996
Size:1 online resource (291 p.)
Note:10.1007/978-3-0348-9173-8
Contents:1. Geometry -- 1. Analytic and Differential Geometry -- 2. Projective Geometry -- 3. Algebraic Geometry and Geometric Algebra -- 4. Non-Euclidean Geometry -- 5. Multi-Dimensional Geometry -- 6. Topology -- 7. Geometric Transformations
-- Conclusion -- 2. Analytic Function -- Results Achieved in Analytic Function Theory in the Eighteenth Century -- Development of the Concept of a Complex Number -- Complex Integration -- The Cauchy Integral Theorem. Residues --
Elliptic Functions in the Work of Gauss -- Hypergeometric Functions -- The First Approach to Modular Functions -- Power Series. The Method of Majorants -- Elliptic Functions in the Work of Abel -- C.G.J. Jacobi. Fundamenta nova
functionum ellipticarum -- The Jacobi Theta Functions -- Elliptic Functions in the Work of Eisenstein and Liouville. The First Textbooks -- Abelian Integrals. Abel’s Theorem -- Quadruply Periodic Functions -- Summary of the Development
of Analytic Function Theory over the First Half of the Nineteenth Century -- V. Puiseux. Algebraic Functions -- Bernhard Riemann -- Riemann’s Doctoral Dissertation. The Dirichlet Principle -- Conformal Mappings -- Karl Weierstrass --
Analytic Function Theory in Russia. Yu.V. Sokhotski? and the Sokhotski?-Casorati-Weierstrass Theorem -- Entire and Meromorphic Functions. Picard’s Theorem -- Abelian Functions -- Abelian Functions (Continuation) -- Automorphic
Functions. Uniformization -- Sequences and Series of Analytic Functions -- Conclusion -- Literature -- (F. A. Medvedev) -- General Works -- Collected Works and Other Original Sources -- Auxiliary Literature to Chapter 1 -- Auxiliary
Literature to Chapter 2 -- Index of Names (A. F. Lapko)
ISBN:9783034891738
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Geometry , History , Mathematics , History of Mathematical Sciences , Geometry , Analysis
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Call number:SPRINGER-1995-9789401584807:ONLINE Show nearby items on shelf
Title:Numerical Methods for the Solution of Ill-Posed Problems
Author(s): A. N Tikhonov
Date:1995
Size:1 online resource (254 p.)
Note:10.1007/978-94-015-8480-7
Contents:1. Regularization methods -- 2. Numerical methods for the approximate solution of ill-posed problems on compact sets -- 3. Algorithms for the approximate solution of ill-posed problems on special sets -- 4. Algorithms and programs for
solving linear ill-posed problems -- Appendix: Program listings -- I. Program for solving Fredholm integral equations of the first kind, using Tikhonov’s method with transformation of the Euler equation to tridiagonal form -- II.
Program for solving Fredholm integral equations of the first kind by Tikhonov’s method, using the conjugate gradient method -- III. Program for solving Fredholm integral equations of the first kind on the set of nonnegative functions,
using the regularization method -- IV. Program for solving one-dimensional integral equations of convolution type -- V. Program for solving two-dimensional integral equations of convolution type -- VI. Program for solving Fredholm
integral equations of the first kind on the sets of monotone and (or) convex functions. The method of the conditional gradient -- VII. Program for solving Fredholm integral equations of the first kind on the sets of monotone and (or)
convex functions. The method of projection of conjugate gradients -- VIII. Program for solving Fredholm integral equations of the first kind on the sets of monotone and (or) convex functions. The method of projection of conjugate
gradients onto the set of vectors with nonnegative coordinates -- IX. General programs -- Postscript -- 1. Variational methods -- 2. Iterative methods -- 3. Statistical methods -- 4. Textbooks -- 5. Handbooks and Conference Proceedings
ISBN:9789401584807
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 328
Keywords: Mathematics , Integral equations , Operator theory , Computer mathematics , Algorithms , Mathematical optimization , Mathematics , Computational Mathematics and Numerical Analysis , Integral Equations , Operator Theory , Optimization , Algorithms
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Call number:SPRINGER-1994-9781461202516:ONLINE Show nearby items on shelf
Title:Prime Numbers and Computer Methods for Factorization
Author(s): Hans Riesel
Date:1994
Edition:Second Edition
Size:1 online resource (464 p.)
Note:10.1007/978-1-4612-0251-6
Contents:1. The Number of Primes Below a Given Limit -- 2. The Primes Viewed at Large -- 3. Subtleties in the Distribution of Primes -- 4. The Recognition of Primes -- 5. Classical Methods of Factorization -- 6. Modem Factorization Methods --
7. Prime Numbers and Cryptography -- Appendix 1. Basic Concepts in Higher Algebra -- Modules -- Euclid’s Algorithm -- The Labor Involved in Euclid’s Algorithm -- A Definition Taken from the Theory of Algorithms -- A Computer Program
for Euclid’s Algorithm -- Reducing the Labor -- Binary Form of Euclid’s Algorithm -- Groups -- Lagrange’s Theorem. Cosets -- Abstract Groups. Isomorphic Groups -- The Direct Product of Two Given Groups -- Cyclic Groups -- Rings -- Zero
Divisors -- Fields -- Mappings. Isomorphisms and Homomorphisms -- Group Characters -- The Conjugate or Inverse Character -- Homomorphisms and Group Characters -- Appendix 2. Basic Concepts in Higher Arithmetic -- Divisors. Common
Divisors -- The Fundamental Theorem of Arithmetic -- Congruences -- Linear Congruences -- Linear Congruences and Euclid’s Algorithm -- Systems of Linear Congruences -- Carmichael’s Function -- Carmichael’s Theorem -- Appendix 3.
Quadratic Residues -- Legendre’s Symbol -- Arithmetic Rules for Residues and Non-Residues -- The Law of Quadratic Reciprocity -- Jacobi’s Symbol -- Appendix 4. The Arithmetic of Quadratic Fields -- Appendix 5. Higher Algebraic Number
Fields -- Algebraic Numbers -- Appendix 6. Algebraic Factors -- Factorization of Polynomials -- The Cyclotomic Polynomials -- Aurifeuillian Factorizations -- Factorization Formulas -- The Algebraic Structure of Aurifeuillian Numbers --
Appendix 7. Elliptic Curves -- Cubics -- Rational Points on Rational Cubics -- Homogeneous Coordinates -- Elliptic Curves -- Rational Points on Elliptic Curves -- Appendix 8. Continued Fractions -- What Is a Continued Fraction? --
Regular Continued Fractions. Expansions -- Evaluating a Continued Fraction -- Continued Fractions as Approximations -- Euclid’s Algorithm and Continued Fractions -- Linear Diophantine Equations and Continued Fractions -- A Computer
Program -- Continued Fraction Expansions of Square Roots -- Proof of Periodicity -- The Maximal Period-Length -- Short Periods -- Continued Fractions and Quadratic Residues -- Appendix 9. Multiple-Precision Arithmetic -- Various
Objectives for a Multiple-Precision Package -- How to Store Multi-Precise Integers -- Addition and Subtraction of Multi-Precise Integers -- Reduction in Length of Multi-Precise Integers -- Multiplication of Multi-Precise Integers --
Division of Multi-Precise Integers -- Input and Output of Multi-Precise Integers -- A Complete Package for Multiple-Precision Arithmetic -- A Computer Program for Pollard’s rho Method -- Appendix 10. Fast Multiplication of Large
Integers -- The Ordinary Multiplication Algorithm -- Double Length Multiplication -- Recursive Use of Double Length Multiplication Formula -- A Recursive Procedure for Squaring Large Integers -- Fractal Structure of Recursive Squaring
-- Large Mersenne Primes -- Appendix 11. The Stieltjes Integral -- Functions With Jump Discontinuities -- The Riemann Integral -- Definition of the Stieltjes Integral -- Rules of Integration for Stieltjes Integrals -- Integration by
Parts of Stieltjes Integrals -- The Mean Value Theorem -- Applications -- Tables. For Contents -- List of Textbooks
ISBN:9781461202516
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 126
Keywords: Mathematics , Computer mathematics , Number theory , Mathematics , Number Theory , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-1991-9781461209393:ONLINE Show nearby items on shelf
Title:Theory of Complex Functions
Author(s): Reinhold Remmert
Date:1991
Size:1 online resource (458 p.)
Note:10.1007/978-1-4612-0939-3
Contents:Historical Introduction -- Chronological Table -- A. Elements of Function Theory -- 0. Complex Numbers and Continuous Functions -- 1. Complex-Differential Calculus -- 2. Holomorphy and Conformality. Biholomorphic Mappings.. -- 3.
Modes of Convergence in Function Theory -- 4. Power Series -- 5. Elementary Transcendental Functions -- B. The Cauchy Theory -- 6. Complex Integral Calculus -- 7. The Integral Theorem, Integral Formula and Power Series Development --
C. Cauchy-Weierstrass-Riemann Function Theory -- 8. Fundamental Theorems about Holomorphic Functions -- 9. Miscellany -- 10. Isolated Singularities. Meromorphic Functions -- 11. Convergent Series of Meromorphic Functions -- 12. Laurent
Series and Fourier Series -- 13. The Residue Calculus -- 14. Definite Integrals and the Residue Calculus -- Short Biographies o/Abel, Cauchy, Eisenstein, Euler, Riemann and Weierstrass -- Photograph of Riemann’s gravestone --
Literature -- Classical Literature on Function Theory — Textbooks on Function Theory — Literature on the History of Function Theory and of Mathematics Symbol Index -- Name Index -- Portraits of famous mathematicians 3
ISBN:9781461209393
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate in Texts Mathematics, Readings in Mathematics: 122
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1985-9781461251163:ONLINE Show nearby items on shelf
Title:New Directions in Two-Year College Mathematics Proceedings of the Sloan Foundation Conference on Two-Year College Mathematics, held July 11–14 at Menlo College in Atherton, California
Author(s):
Date:1985
Size:1 online resource (491p p.)
Note:10.1007/978-1-4612-5116-3
Contents:1. A Case for Curriculum Change -- Mathematics In Today’s Community College -- Let’s Keep the “College” In Our Community Colleges: Mathematics for College Transfer -- A New Start for Mathematics Curriculum -- Mathematics as a Course
of Problem Solving- Then and Now -- 2. Technical Mathematics -- Technical Mathematics: A Dilemma -- Occupational Education and Mathematics: Ownership Makes the Difference -- Technical Mathematics in Two-Year College Programs -- 3.
Endangered Curriculum Elements -- Reflections on Basic Mathematics Programs in the Two-Year College -- Liberal Arts Mathematics—Cornerstone or Dinosaur? -- Statistics in the Two-Year College Curriculum -- 4. New Curricula and New Tools
-- It’s Going to Happen Anyway… -- Discrete Topics in the Undergraduate Curriculum: How Big a Step Should We Take? -- Calculators Do More than Compute -- The Lessons of Williamstown -- Style Versus Content: Forces Shaping the Evolution
of Textbooks -- 5. The Learning of Mathematics -- Research in the Learning of Mathematics: Some Genuinely New Directions -- Knowledge Transmission and Acquisition: Cognitive and Affective Considerations -- 6. Faculty Renewal and
Professionalism -- Relevancy and Revitalization: Retaining Quality and Vitality in Two-Year College Mathematics Faculty -- The Academic Training of Two-Year College Mathematics Faculty -- Current Continuing Education Needs of Two-Year
College Faculty Must be Met! -- 7. Coordinating Curriculum Change -- Coordinating Curriculum in Two-Year Colleges with Baccalaureate Institutions -- Some Reflections on the Interaction of Mathematics Programs at Two- and Four-Year
Colleges -- Mathematics Programs in High Schools and Two-Year Colleges
ISBN:9781461251163
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:QC20.B35::2006 Show nearby items on shelf
Title:Mathematical Methods in Science and Engineering
Author(s): S. Selcuk Bayin 1951-
Date:2006
Publisher:Wiley-Interscience
ISBN:0470041420
Keywords: Mathematical Physics, Textbooks , Engineering Mathematics, Textbooks
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Call number:QC173.59.M3P65::2014 Show nearby items on shelf
Title:Gravity: Newtonian, post-Newtonian, relativistic
Author(s): Eric Poisson
Clifford M. Will
Date:2014
Publisher:Cambridge: Cambridge University Press
Size:780 p.
Contents:1. Foundations of Newtonian gravity, 2. Structure of self-gravitating bodies, 3. Newtonian orbital dynamics, 4. Minkowski spacetime, 5. Curved spacetime, 6. Post-Minkowskian theory: formulation, 7. Post-Minkowskian theory: implementation, 8. Post-Newt onian theory: fundamentals, 9. Post-Newtonian theory: system of isolated bodies, 10. Post-Newtonian celestial mechanics, astrometry and navigation, 11. Gravitational waves, 12. Radiative losses and radiation reaction, 13. Alternative theories of gravity
ISBN:9781107032866
Keywords: General relativity (Physics) Mathematics Textbooks , Gravity Mathematics Textbooks. , SCIENCE / Cosmology
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Call number:QA39.A7413::2014 Show nearby items on shelf
Title:Mathematical understanding of nature: Essays on amazing physical phenomena and their understanding by mathematicians
Author(s): Vladimir Igorevich Arnold
Date:2014
Publisher:Providence, Rhode Island: AMS, American Mathematical Society
Size:167 p
ISBN:9781470417017
Keywords: Mathematics Popular works. , Mechanics of particles and systems -- Instructional exposition (textbooks, tutor , Fluid mechanics -- Instructional exposition (textbooks, tutorial papers, etc.) , Optics, electromagnetic theory -- Instructional exposition (textbooks, tutorial
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Call number:QA37.2.B63::2006 Show nearby items on shelf
Title:Mathematical Methods in the Physical Sciences
Author(s): Mary L. Boas
Date:2006
Publisher:Wiley
Note:3rd ed.
Contents:Infinite Series, Power Series
Complex Numbers
Linear Algebra
Partial Differentiation
Multiple Integrals
Vector Analysis
Fourier Series and Transforms
Ordinary Differential Equations
Calculus of Variations
Tensor Analysis
Special Functions
Legendre, Bessel, Hermite, and Laguerre Functions
Partial Differential Equations
Functions of a Complex Variable
Probability and Statistics
ISBN:0471198269
Keywords: Mathematics - Textbooks
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