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SPIRES-BOOKS: FIND KEYWORD PROBLEMS AND EXERCISES *END*INIT* use /tmp/qspiwww.webspi1/16251.9 QRY 131.225.70.96 . find keyword problems and exercises ( in books using www Cover
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Call number:TK5105.5.A53::2009 Show nearby items on shelf
Title:Head First Networking
Author(s): Al Anderson
Ryan Benedetti
Date:2009
Publisher:Farnham : O'Reilly
ISBN:9780596521554
Keywords: computer networks , Computer networks, Problems, exercises, etc.
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Call number:TK454.E46::2003 Show nearby items on shelf
Title:Schaum's outline of theory and problems of electric circuits
Author(s): Mahmood Nahvi
Joseph A. Edminister
Date:2003
Edition:4th ed.
Publisher:New York : McGraw-Hill
Size:469 p
Contents:Introduction -- Circuit concepts -- Circuit laws -- Analysis methods -- Amplifiers and operational circuits -- Waveforms and signals -- First order circuits -- Higher order circuits and complex frequency -- Sinusoidal steady state circuit analysis -- AC power -- Polyphase circuits -- Frequency response filters and resonance -- Two port networks -- Mutual inductance and transformers -- Circuit analysis using spice and pspice -- The laplace transform method -- fourier method of waveform analysis -- Complex number system -- Matrices an determinants
ISBN:9780071393072
Series:Schaum's outline series
Keywords: Electric circuits , Problems and exercises
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Call number:TJ159.L49::2013 Show nearby items on shelf
Title:Mechanical engineering reference manual for the PE exam
Author(s): Michael R. Lindeburg
Date:2013
Edition:13th ed.
Publisher:Belmont, CA : Professional Publications
ISBN:9781591264149
Keywords: Mechanical engineering Examinations Study guides. , Mechanical engineering Study and teaching. , Mechanical engineering Problems, exercises , Mechanical engineering $v Handbooks, manuals
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Cover Image This book is only available through interlibrary loan. (email library@fnal.gov if you would like this title added to the Library collection.)
Call number:TJ159.L48::1988 Show nearby items on shelf
Title:101 solved mechanical engineering problems
Author(s): Michael R. Lindeburg
Date:1988
Publisher:Professional Publications, Belmont, CA
Size:119
ISBN:0932276954
Keywords: Mechanical engineering Problems, exercises, etc.
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Call number:TJ159.C6::1985 Show nearby items on shelf
Title:Mechanical engineering for professional engineers' examinations
Author(s): John Dennis Constance 1909-
Date:1985
Edition:4th ed.
Publisher:McGraw-Hill, New York
Size:595
ISBN:0070124523
Keywords: Mechanical engineering Problems, exercises, etc.
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Call number:TA640.4.B83::1991 Show nearby items on shelf
Title:246 solved structural engineering problems
Author(s): C.Dale Buckner
Date:1991
Publisher:Professional Publications, Belmont, CA
Size:1
ISBN:0912045329
Series:Engineering reference manual series 91-05
Keywords: Structural engineering Problems, exercises, etc.
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Call number:TA350.B35523::1977 Show nearby items on shelf
Title:Solutions Manual to Accompany Vector Mechanics for Engineers : Dynamics
Author(s): Ferdinand Pierre Beer 1915-
E. Russell (Elwood Russell) Johnston 1925-
Date:1977
Publisher:McGraw - Hill
Note:3rd. ed.
ISBN:0070042829
Keywords: Mechanics, Applied , Vector Analysis , Mechanics, Applied - Problems, Exercises, etc. , Dynamics
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Call number:TA350.B3552::1988 Show nearby items on shelf
Title:Vector mechanics for engineers: Dynamics
Author(s): Ferdinand P. Beer
E. Russell Johnston
Date:1988
Edition:5th ed.
Publisher:New York : McGraw-Hill
Size:459-1047 p
Note:part two of Vector mechanics for engineers
Contents:Kinematics of particles -- Kinetics of particles: Newton's second law -- Kinetics of particles: energy and momentum methods -- Systems of particles -- Kinematics of rigid bodies -- Plane motion of rigid bodies: forces and accelerations -- Plane moti on of rigid bodies: energy and momentum methods -- Kinetics of rigid bodies in three dimensions -- Mechanical vibrations -- Some useful definitions and properties of Vector algebra -- Moments of inertia of masses.
ISBN:9780070799264
Keywords: Mechanics, Applied. , Vector analysis , Mechanics, Applied, Problems, exercises
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Call number:TA350.B3552::1977 Show nearby items on shelf
Title:Vector Mechanics for Engineers: Statics and Dynamics
Author(s): Ferdinand Pierre Beer 1915-
E. Russell Johnston 1925-
Date:1977
Publisher:McGraw - Hill
Note:3rd. ed.
ISBN:0070042772
Keywords: Mechanics, Applied , Vector Analysis , Mechanics, Applied - Problems, Exercises, etc.
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Call number:TA333.W34 Show nearby items on shelf
Title:SI calculations in engineering science
Author(s): Arthur Clifford Walshaw 1907-
Date:1977
Publisher:Newnes-Butterworths, London
Size:788
ISBN:0408002840
Keywords: Engineering mathematics Problems, exercises, etc.
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Cover Image This book is only available through interlibrary loan. (email library@fnal.gov if you would like this title added to the Library collection.)
Call number:TA333.L56::1988 Show nearby items on shelf
Title:1001 solved engineering fundamentals problems
Author(s): Michael R. Lindeburg
Date:1988
Publisher:Professional Publications, Belmont, CA
Size:1
ISBN:0932276903
Keywords: Engineering Problems, exercises, etc.
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Call number:SPRINGER-2014-9783642541247:ONLINE Show nearby items on shelf
Title:Mathematics for Physicists and Engineers [electronic resource] : Fundamentals and Interactive Study Guide
Author(s): Klaus Weltner
Sebastian John
Wolfgang J Weber
Peter Schuster
Jean Grosjean
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This textbook offers an accessible and highly approved approach which is characterized by the combination of the textbook with a detailed study guide available online at our repository extras.springer.com. This study guide dividesthe whole learning t ask into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with thestudy guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowlyrising the students gain confidence and experience their own prog ress in mathematical competence thus fostering motivation. Furthermore in case of learning difficulties he or she is given supplementary explanations and in case ofindividual needs supplementary exercises and applications. So the sequence of the studies i s individualized according to the individual performance and needs and can be regarded as full tutorial course. The study guide satisfies twoobjectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offer s advice on the improvement of study skills. Empirical studies have shown that the student's competence for using writteninformation has improved significantly by using this study guide. The new edition includes a new chapter on Fourier integrals and Four ier transforms, numerous sections had been updated, 30 new problems with solutions had been added.The interactive study guide has seen a substantial update
Contents:From the Contents: Vector Algebra I: Scalars and Vectors
Vector Algebra II: Scalar and Vector Products
Functions
Exponential, Logarithmic and Hyperbolic Functions
Differential Calculus
Integral Calculus
Applications of Integration
Taylor Series and Power Series
Complex Numbers
Differential Equations
Laplace Transforms
Functions of Several Variables Partial Differentiation and Total Differentiation
Multiple Integrals Coordinate Systems
Transformation of Coordinates Matrices
Sets of Linear Equations Determinanats
Eigenvalues and Eigenvectors of R
ISBN:9783642541247
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2014-9783642453670:ONLINE Show nearby items on shelf
Title:Scientific Computing with MATLAB and Octave [electronic resource]
Author(s): Alfio Quarteroni
Fausto Saleri
Paola Gervasio
Date:2014
Edition:4th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros,the extrema, and the i ntegrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make theformat concrete and appealing, the programmin g environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from importantapplications. At the end of each chapter, a specific section is devot ed to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review:.... This carefully written textbook, the third English edition, contains substantial new devel opments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited forreaders who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject. Roberto Plato (Siegen), Zentralblatt MATH 1205.65002
Contents:1. What can' t be ignored
2. Nonlinear equations
3. Approximation of functions and data
4. Numerical differentiation and integration
5. Linear systems
6. Eigenvalues and eigenvectors
7. Numerical optimization
8. Ordinary differential equations
9. Numerical approximation of boundary
value problems
10. Solutions of the exercises
References
Index
ISBN:9783642453670
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Computer science , Visualization , Engineering
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Call number:SPRINGER-2014-9783642390104:ONLINE Show nearby items on shelf
Title:Stochastic Foundations in Movement Ecology [electronic resource] : Anomalous Diffusion, Front Propagation and Random Searches
Author(s): Vicen Mndez
Daniel Campos
Frederic Bartumeus
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lvy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitativelydescribing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies. Adopting a self-contained, textbook-style approach, the authors provide the elements of statisticalphysics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicitdefinition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems. Including numerous exercises (with solutions), this text isaimed at graduate students and newcomers in this field at the interface of theoretical ecology, ma thematical biology and physics
Contents:Elements of Probability Theory
Introduction to Stochastic Processes
Microscopic, Mesoscopic and Macroscopic Descriptions of Dispersal
Continuous
Time Random Walks and Anomalous Diffusion
Reaction
Dispersal Models and Front Propagation
Stochastic Optimal Foraging Theory
Cell Motion and Chemotaxis
Host
Pathogen Interactions
Biological Invasions
Random Search in Model Organisms
ISBN:9783642390104
Series:eBooks
Series:SpringerLink
Series:Springer Series in Synergetics, 0172-7389
Series:Physics and Astronomy (Springer-11651)
Keywords: Ecology , Genetics Mathematics , Engineering
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Call number:SPRINGER-2014-9783642376320:ONLINE Show nearby items on shelf
Title:Fluctuations of Lvy Processes with Applications [electronic resource] : Introductory Lectures
Author(s): Andreas E Kyprianou
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Lvy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust mathematical theory exists. Their application appears in the theory of many areas ofclassical and modern stocha stic processes including storage models, renewal processes, insurance risk models, optimal stopping problems, mathematical finance, continuous-state branching processes and positive self-similar Markovprocesses. This textbook is based on a series of gradu ate courses concerning the theory and application of Lvy processes from the perspective of their path fluctuations. Central to the presentation is the decomposition of paths interms of excursions from the running maximum as well as an understanding of sho rt- and long-term behaviour. The book aims to be mathematically rigorous while still providing an intuitive feel for underlying principles. The results andapplications often focus on the case of Lvy processes with jumps in only one direction, for which re cent theoretical advances have yielded a higher degree of mathematical tractability. The second edition additionally addresses recentdevelopments in the potential analysis of subordinators, Wiener-Hopf theory, the theory of scale functions and their appli cation to ruin theory, as well as including an extensive overview of the classical and modern theory of positiveself-similar Markov processes. Each chapter has a comprehensive set of exercises. Andreas Kyprianou has a degree in Mathematics from the Univer sity of Oxford and a Ph.D. in Probability Theory from The University of Sheffield. He iscurrently a Professor of Probability at the University of Bath, having held academic positions in Mathematics and Statistics Departments at the London School of Econom ics, Edinburgh University, Utrecht University and Heriot-WattUniversity, besides working for nearly two years as a research mathematician in the oil industry. His research is focused on pure and a
Contents:Lvy Processes and Applications
The LvyIt Decomposition and Path Structure
More Distributional and Path
Related Properties
General Storage Models and Paths of Bounded Variation
Subordinators at First Passage and Renewal Measures
The WienerHopf Factorisation
Lvy Processes at First Passage
Exit Problems for Spectrally Negative Processes
More on Scale Functions
Ruin Problems and Gerber
Shiu Theory
Applications to Optimal Stopping Problems
Continuous
State Branching Processes
Positive Self
similar Markov Processes
Epilogue
Hints for Exercises
ISBN:9783642376320
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642368509:ONLINE Show nearby items on shelf
Title:Basics of Modern Mathematical Statistics [electronic resource] : Exercises and Solutions
Author(s): Wolfgang Karl Hrdle
Vladimir Spokoiny
Vladimir Panov
Weining Wang
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The complexity of todays statistical data calls for modern mathematical tools. Many fields of science make use of mathematical statistics and require continuous updating on statistical technologies. Practice makes perfect,since mastering the tools ma kes them applicable. Our book of exercises and solutions offers a wide range of applications and numerical solutions based on R. In modern mathematical statistics, the purpose is to provide statisticsstudents with a number of basic exercises and also an u nderstanding of how the theory can be applied to real-world problems. The application aspect is also quite important, as most previous exercise books are mostly on theoreticalderivations. Also we add some problems from topics often encountered in recent r esearch papers. The book was written for statistics students with one or two years of coursework in mathematical statistics and probability, professors whohold courses in mathematical statistics, and researchers in other fields who would like to do some e xercises on math statistics
Contents:Basics
Parameter Estimation for an i.i.d. Model
Parameter Estimation for a Regression Model
Estimation in Linear Models
Bayes Estimation
Testing a Statistical Hypothesis
Testing in Linear Models
Some Other Testing Methods.
ISBN:9783642368509
Series:eBooks
Series:SpringerLink
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics , Economics Statistics
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Call number:SPRINGER-2014-9783319067285:ONLINE Show nearby items on shelf
Title:Functional Analysis [electronic resource] : An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
Author(s): Joseph Muscat
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonovregularization, shoul d appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers themain topics, based upon the classical seque nce and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis the latter is redone in the light of metric spaces. Itcontains more than a thousand worked examples and exercises, which mak e up the main body of the book
Contents:Introduction
Distance
Convergence and Continuity
Completeness and Separability
Connectedness
Compactness
Normed Spaces
Continuous Linear Maps
Main Examples
Hilbert Spaces
Banach Spaces
Differentiation and Integration
Banach Algebras
Spectral Theory
C
Algebras
ISBN:9783319067285
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Operator theory
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Call number:SPRINGER-2014-9783319063430:ONLINE Show nearby items on shelf
Title:Nonlinear Dynamics and Quantum Chaos [electronic resource] : An Introduction
Author(s): Sandro Wimberger
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlineardynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems'theory combining in a comprehensive way cla ssical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases theunderstanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well asfor researchers starting to work in the field
Contents:Introduction
Fundamental terminology
Complexity
Classical versus quantum dynamics
Problems
References
Dynamical systems
Evolution law
One
dimensional maps
Problems
References
Nonlinear Hamiltonian systems
Integrable examples
Hamiltonian formalism
Important techniques in the Hamiltonian formalism
Integrable systems
Non
integrable systems
Perturbation of low
dimensional systems
Canonical perturbation theory
Transition to chaos in Hamiltonian systems
Criteria for local and global chaos
Appendix
Problems
References
Aspects
ISBN:9783319063430
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematical physics , Mechanics
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Call number:SPRINGER-2014-9783319061764:ONLINE Show nearby items on shelf
Title:Exercises in Analysis [electronic resource] : Part 1
Author(s): Leszek Gasiksi
Nikolaos S Papageorgiou
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces topological spaces measure, integration, and Martingales measure andtopology and functional analysis . Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for betterunderstanding of the material. At least 170 exercises/problems ar e presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for theapplication surrounding each topic. This nearly encyclopedic coverage of exercises in mathemat ical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problemsvaluable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all ofthe above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume
Contents:1. Metric Spaces
2. Topological Spaces
3. Measure, Integral, and Martingales
4. Measures and Topology
5. Functional Analysis
Other Problem Books
List of Symbols
Index
ISBN:9783319061764
Series:eBooks
Series:SpringerLink
Series:Problem Books in Mathematics, 0941-3502
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Distribution (Probability theory) , Topology
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Call number:SPRINGER-2014-9783319053110:ONLINE Show nearby items on shelf
Title:Inequalities [electronic resource] : With Applications to Engineering
Author(s): Michael J Cloud
Byron C Drachman
Leonid P Lebedev
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra andcalculusandproceeds with a present ation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, andinner product spaces. It also provides full coverage of th e central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hlder's inequality, Minkowski's inequality, the CauchySchwarzinequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The sec ond edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additionalexamples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate stu dents, as well asresearchers in engineering, mathematics, physics, chemistry, or any other quantitative science
Contents:Preface
1. Basic Review and Elementary Facts
2. Methods from the Calculus
3. Some Standard Inequalities
4. Inequalities in Abstract Spaces
5. Some Applications
6. Inequalities for Differential Equations
7. Brief Introduction to Interval Analysis
Hints for Selected Problems
References
Appendix
ISBN:9783319053110
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Engineering mathematics
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Call number:SPRINGER-2014-9783319052724:ONLINE Show nearby items on shelf
Title:Strongly Nonlinear Oscillators [electronic resource] : Analytical Solutions
Author(s): Livija Cveticanin
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents theoriginal authors method fo r the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. Theanalytical solution for free and forced vibrations of t he one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systemswith two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed indidactic exercises. The book is self-consistent and suitable as a textbook for students and also for profe ssionals and engineers who apply these techniques to the field of nonlinear oscillations
Contents:Introduction
Nonlinear Oscillators
Pure Nonlinear Oscillator
Free Vibrations
Oscillators with Time
Variable Parameters
Forced Vibrations
Two
Degree
Of
Freedom Oscillator
Chaos in Oscillators
ISBN:9783319052724
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Engineering mathematics , Vibration
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Call number:SPRINGER-2014-9783319047478:ONLINE Show nearby items on shelf
Title:A Cp-Theory Problem Book [electronic resource] : Special Features of Function Spaces
Author(s): Vladimir V Tkachuk
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The books in Vladimir Tkachuks A Cp-Theory Problem Book series will be the go to texts for basic reference to Cp-theory. This second volume, Special Features of Function Spaces, gives a reasonably complete coverage ofCp-theory, systematically introdu cing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. Bonus results and open problems are also given. The text is designed to bring adedicated reader from basic topological principles to the fro ntiers of modern research covering a wide variety oftopics in Cp-theory and general topology at the professional level. The first volume, Topological and Function Spaces 2011, provided an introduction from scratch to Cp-theory and general topology, prepar ing the reader for a professional understanding of Cp-theory in the last section of its main text. This second volume continues from the first, andcan be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide fo r specialists working in Cp-theory and related topics. Additionally, the material can also be considered as an introductionto advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of p ointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functionalanalysis and general topology. From the Reviews of Topological and Function Spaces: It is designed to bring a dedicated reader from the basic topological principles to the frontiers of modern research. Any reasonable course incalculus covers everything needed to understand this book. This volume can also be used as a reference for mathematicians working in or outside the field of topology (functional anal ysis) wanting to use results or methods ofCp-theory...On the whole, the book provides a useful addition to the literature on Cp-theory, especially at the instructional level. (Ma
Contents:Detailed Summary of Exercise Sections
Preface
Introduction
1. Duality Theorems and Properties of Function Spaces
2. Solutions of Problems 001
500
3. Bonus Results: Some Hidden statements
4. Open Problems
Bibliography
List of Special Symbols
Index
ISBN:9783319047478
Series:eBooks
Series:SpringerLink
Series:Problem Books in Mathematics, 0941-3502
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Logic, Symbolic and mathematical , Topology
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Call number:SPRINGER-2014-9783319038865:ONLINE Show nearby items on shelf
Title:Superconcentration and Related Topics [electronic resource]
Author(s): Sourav Chatterjee
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:A certain curious feature of random objects, introduced by the author as super concentration, and two related topics, chaos and multiple valleys, are highlighted in this book. Although super concentration hasestablished itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiplevalleys. He achieves a substantial degree of simplification and clarit y in the presentation of these findings by using the spectral approach. Understanding the fluctuations of random objects is one of the major goals of probabilitytheory and a whole subfield of probability and analysis, called concentration of measure, is d evoted to understanding these fluctuations. This subfield offers a range of tools for computing upper bounds on the orders of fluctuations ofvery complicated random variables. Usually,concentration of measure is useful when more direct problem-specific ap proaches fail as a result, it has massively gained acceptance over the last forty years. And yet, there is a largeclass of problems in which classical concentration of measure produces suboptimal bounds on the order of fluctuations. Here lies the substant ial contribution of this book, which developed from a set of six lectures the author firstheld at the Cornell Probability Summer School in July 2012. The book is interspersed with a sizable number of open problems for professional mathematicians as well a s exercises for graduate students working in the fields of probabilitytheory and mathematical physics. The material is accessible to anyone who has attended a graduate course in probability
Contents:Preface
1.Introduction
2.Markov semigroups
3.Super concentration and chaos
4.Multiple valleys
5.Talagrands method for proving super concentration
6.The spectral method for proving super concentration
7.Independent flips
8.Extremal fields
9.Further applications of hypercontractivity
10.The interpolation method for proving chaos
11.Variance lower bounds
12.Dimensions of level sets
Appendix A. Gaussian random variables
Appendix B. Hypercontractivity
Bibliography
Indices
ISBN:9783319038865
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319021294:ONLINE Show nearby items on shelf
Title:A Textbook on Ordinary Differential Equations [electronic resource]
Author(s): Shair Ahmad
Antonio Ambrosetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises the reader will also find a set of solutions of selected exercises. The book contains many interestingexamples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and itsapplications. The work is mainly addressed to stud ents of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments,such as Laplace transform Stability theory and existence of solutions to Bo undary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual willbe available Summer 2014. Instructors who wish to adopt the book may request the manual by writin g directly to one of the authors
Contents:1 First order linear differential equations
2 Theory of first order differential equations
3 First order nonlinear differential equations
4 Existence and uniqueness for systems and higher order equations
5 Second Order Equations
6 Higher Order Linear Equations
7 Systems of First Order Equations
8 Qualitative analysis of 22 systems and nonlinear second order equations
9 Sturm Liouville eigenvalue theory
10 Solutions by infinite series and Bessel functions
11 Laplace transform
12 Stability Theory
13 Boundary Value problems
Appendix A. Numerical methods
ISBN:9783319021294
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v73
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Numerical analysis
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Call number:SPRINGER-2014-9783319008134:ONLINE Show nearby items on shelf
Title:Quantum Mechanics for Pedestrians 2: Applications and Extensions [electronic resource]
Author(s): Jochen Pade
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The two-volume textbook Quantum Mechanics for Pedestrians provides an introduction to the basics of nonrelativistic quantum mechanics. Originally written as a course for students of science education, the book addresses all thosescience students and others who are looking for a reasonably simple, fresh and modern introduction to the field. The basic principles of quantum mechanics are presented in the first volume. This second volume discusses applications andextensions to more complex problems. In a ddition to topics traditionally dealt with in quantum mechanics texts, such as symmetries or many-body problems, here also issues of current interest such as entanglement, Bell's inequalities,decoherence and various aspects of quantum information are trea ted in detail. Furthermore, questions of the basis of quantum mechanics and epistemological issues are discussed explicitly these are relevant e.g. to the realism debate.A chapter on the interpretations of quantum mechanics completes this volume. The nece ssary mathematical tools are introduced step by step in the appendix, the most relevant mathematics is compiled in compact form. More advanced topicssuch as the Lenz vector, Hardy's experiment and Shor's algorithm are treated in more detail in the appendi x. As an essential aid to learning and teaching, 130 exercises are included, most of them with their solutions
Contents:One
Dimensional Piecewise Constant Potentials
Angular Momentum
The Hydrogen Atom
Harmonic Oscillator
Perturbation Theory
Entanglement, EPR, Bell
Symmetries and Conservation Laws
Density Operator
Identical Particles
Decoherence
Scattering
Quantum Information
Is Quantum Mechanics Complete?
Discussion and Interpretations of Quantum Mechanics
ISBN:9783319008134
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9783034806220:ONLINE Show nearby items on shelf
Title:Real Quaternionic Calculus Handbook [electronic resource]
Author(s): Joo Pedro Morais
Svetlin Georgiev
Wolfgang Sprig
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, suchas complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysishas become a well established branch in ma thematics and has been greatly successful in many different directions. This book is based onconcrete examples and exercises rather than general theorems, thus making it suitable for anintroductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises atthe end of each chapter and its straightforward writing style the book addresses readers w ho have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis,ordinary differential equations, partial differential equations, and theory of distributions
Contents:1 An introduction to quaternions
2 Quaternions and spatial rotation
3 Quaternion sequences
4 Quaternion series and infinite products
5 Exponents and logarithms
6 Trigonometric functions
7 Hyperbolic functions
8 Inverse hyperbolic and trigonometric functions
9 Quaternion matrices
10 Monomials, polynomials and binomials
11 Solutions
Bibliography
Index
ISBN:9783034806220
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Algebra , Functions of complex variables , Combinatorics , Geometry
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Call number:SPRINGER-2014-9781493910373:ONLINE Show nearby items on shelf
Title:Implicit Functions and Solution Mappings [electronic resource] : A View from Variational Analysis
Author(s): Asen L Dontchev
R. Tyrrell Rockafellar
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions andSolution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. Thepurpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sectionsin almost all chapters, new exercises and examples, updated commentarie s to chapters and an enlarged index and references section. From reviews of the first edition: The book commences with a helpful context-setting preface followedby six chapters. Each chapter starts with a useful preamble and concludes with a careful and i nstructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. I unreservedlyrecommended this book to all practitioners and graduate students interested in modern optimization theory or control th eory or to those just engaged by beautiful analysis cleanly described. (Jonathan Michael Borwein, IEEE ControlSystems Magazine, February, 2012) This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. The book is targeted to a broad audience ofresearchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacentbranches and also by specialists in mechanics, physics, engineering, economics, and so on. (Peter Zabreiko, Zentralblatt MATH,
Contents:Introduction and equation
solving background
Solution mappings for variational problems
Set
valued analysis of solution mappings
Regularity properties through generalized derivatives
Metric regularity in infinite dimensions
Applications in numerical variational analysis
ISBN:9781493910373
Series:eBooks
Series:SpringerLink
Series:Springer Series in Operations Research and Financial Engineering, 1431-8598
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2014-9781461488934:ONLINE Show nearby items on shelf
Title:Topological Methods in the Study of Boundary Value Problems [electronic resource]
Author(s): Pablo Amster
Date:2014
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications,chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable tonon-specialists. The main topics in the study of bounda ry value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrichtheir tools for solving nonlinear problems. In comparison with other texts i n the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties ofthis interesting branch of mathematics. Exercises and examples are included throughout the book, pro viding motivation for the reader
Contents:Introduction
Shooting type methods
The Banach Fixed Point Theorem
Schauders Theorem and applications
Topological degree: an introduction
Applications
Basic facts on metric and normed spaces
Brief review of ODEs
Hints and Solutions to Selected Exercises
ISBN:9781461488934
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2014-9781461487883:ONLINE Show nearby items on shelf
Title:Statistical Analysis of Financial Data in R [electronic resource]
Author(s): Ren Carmona
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Although there are many books on mathematical finance, few deal with the statistical aspects of modern data analysis as applied to financial problems. This book fills this gap by addressing some of the most challenging issuesfacing any financial engi neer. It shows how sophisticated mathematics and modern statistical techniques can be used in concrete financial problems. Concerns of risk management are addressed by the control of extreme values, the fittingof distributions with heavy tails, the comput ation of values at risk (VaR), and other measures of risk. Data description techniques such as principal component analysis (PCA), smoothing, and regression are applied to the constructionof yield and forward curve. Nonparametric estimation and nonlinear filtering are used for option pricing and earnings prediction. The book is intended for undergraduate students majoring in financial engineering, or graduate studentsin a Master in finance or MBA program. Because it was designed as a teaching vehicle, it is sprinkled with practical examples using market data, and each chapter ends with exercises. Practical examples are solved in the computingenvironment of R. They illustrate problems occurring in the commodity and energy markets, the fixed income markets as well as the equity markets, and even some new emerging markets like the weather markets. The book can helpquantitative analysts by guiding them through the details of statistical model estimation and implementation. It will also be of interest to resea rchers wishing to manipulate financial data, implement abstract concepts, and testmathematical theories, especially by addressing practical issues that are often neglected in the presentation of the theory
Contents:Univariate Data Distributions
Heavy Tail Distributions
Dependence and Multivariate Data Exploration
Parametric Regression
Local and Nonparametric Regression
Time Series Models
Multivariate Time Series, Linear Systems and Kalman Filtering
Nonlinear Time Series: Models and Simulation
Appendices
Indices
ISBN:9781461487883
Series:eBooks
Series:SpringerLink
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Finance , Mathematical statistics , Economics Statistics
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Call number:SPRINGER-2014-9780817684150:ONLINE Show nearby items on shelf
Title:Complex Numbers from A to ... Z [electronic resource]
Author(s): Titu Andreescu
Dorin Andrica
Date:2014
Edition:2nd ed. 2014
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one ofthe most utilized ideas in mathematics. The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understandthe geometric interpretation of complex numbers and the operations involving them. The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. Many new problems and solutions havebeen added in this second edition. A special feature of the book is th e last chapter, a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented. The bookreflects the unique experience of the authors. It distills a vast mathematical literature, mos t of which is unknown to the western public, and captures the essence of an abundant problem culture. The target audience includesundergraduates, high school students and their teachers, mathematical contestants (such as those training for Olympiads or th e W. L. Putnam Mathematical Competition) and their coaches, as well as anyone interested in essentialmathematics
Contents:Preface
Complex Numbers in Algebraic Form
Complex Numbers in Trigonometric Form
Complex Numbers and Geometry
More on Complex Numbers and Geometry
Olympiad
Caliber Problems
Answers, Hints and Solutions to Proposed Problems
Glossary
References
Index of Authors
ISBN:9780817684150
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Geometry , Number theory
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Call number:SPRINGER-2013-9783642393686:ONLINE Show nearby items on shelf
Title:Geometry of Continued Fractions [electronic resource]
Author(s): Oleg Karpenkov
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:Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest inmultidimensional generalizati ons of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometricvision of continued fractions. It covers several appli cations to questions related tosuch areas asDiophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress inthe geometric theory of multidimensional continued fractions accompanied by current ly open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful forundergraduate or graduate courses
Note:Springer eBooks
Contents:Preface
Introduction
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions
Chapter 2. On integer geometry
Chapter 3. Geometry of regular continued fractions
Chapter 4. Complete invariant of integer angles
Chapter 5. Integer trigonometry for integer angles
Chapter 6. Integer angles of integer triangles
Chapter 7. Continued fractions and SL(2 Z) conjugacy classes. Elements of Gauss Reduction Theory. Markoff spectrum
Chapter 8. Lagrange theorem
Chapter 9. Gauss
Kuzmin statistics
Chapter 10. Geometric approximation aspects
Chapter 11
ISBN:9783642393686
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v26
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Discrete groups , Number theory
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Call number:SPRINGER-2013-9783642322785:ONLINE Show nearby items on shelf
Title:Graphs, Networks and Algorithms [electronic resource]
Author(s): Dieter Jungnickel
Date:2013
Edition:4th ed. 2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:From the reviews of the previous editions .... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, andresearchers in this area. The aut hor finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does notremain helpless solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ... K.Engel, Mathematical Reviews 2002 The substantial developmenteffort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation,comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate orlow-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to ex ercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons,Zentralblatt fr Mathematik2005 Once again, the new edition has been thoroughly revised. In particular, some further material has been added: more on NP-comp leteness (especially on dominating sets), a section on the Gallai-Edmondsstructure theory for matchings, and about a dozen additional exercises as always, with solutions. Moreover, the section on the 1-factor theorem has been completely rewritten: it now presents a short direct proof for the moregeneral Berge-Tutte formula. Several recent research developments are discussed and quite a few references have been added
Note:Springer eBooks
Contents:Prefaces
Basic Graph Theory
Algorithms and Complexity
Shortest Paths
Spanning Trees
The Greedy Algorithm
Flows
Combinatorial Applications
Connectivity and Depth First Search
Colorings
Circulations
The Network Simplex Algorithm
Synthesis of Networks
Matchings
Weighted Matchings
A Hard Problem: The TSP
Appendix A: Some NP
Complete Problems
Appendix B: Solutions
Appendix C: List of Symbols
References
Index
ISBN:9783642322785
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v5
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Combinatorics , Mathematical optimization
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Call number:SPRINGER-2013-9783642297618:ONLINE Show nearby items on shelf
Title:Transmission Electron Microscopy and Diffractometry of Materials [electronic resource]
Author(s): Brent Fultz
James Howe
Date:2013
Edition:4th ed. 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:This book explains concepts of transmission electron microscopy (TEM) and x-ray diffractometry (XRD) that are important for the characterization of materials. The fourth edition adds important new techniques of TEM such aselectron tomography, nanobea m diffraction, and geometric phase analysis. A new chapter on neutron scattering completes the trio of x-ray, electron and neutron diffraction. All chapters were updated and revised for clarity. The bookexplains the fundamentals of how waves and wavefunct ions interact with atoms in solids, and the similarities and differences of using x-rays, electrons, or neutrons for diffraction measurements. Diffraction effects of crystallineorder, defects, and disorder in materials are explained in detail. Both practi cal and theoretical issues are covered. The book can be used in an introductory-level or advanced-level course, since sections are identified by difficulty.Each chapter includes a set of problems to illustrate principles, and the extensive Appendix includ es laboratory exercises
Note:Springer eBooks
Contents:Diffraction and X
Ray Powder Diffractometer Problems
TEM and its Optics Problems
Neutron Scattering Problems
Scattering Problems
Inelastic Electron Scattering and Spectroscopy Problems
Diffraction from Crystals Sphere Problems
Electron Diffraction and Crystallography Problems
Diffraction Contrast in TEM Images Problems
Diffraction Lineshapes Problems
Patterson Functions and Diffuse Scattering Problems
High
Resolution TEM Imaging Problems
High
Resolution STEM and Related Imaging Techniques Problems
Dynamical Theory Problems
ISBN:9783642297618
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Spectroscopy , Surfaces (Physics)
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Call number:SPRINGER-2013-9783319011073:ONLINE Show nearby items on shelf
Title:Special Relativity [electronic resource]
Author(s): Valerio Faraoni
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This book offers an essential bridge between college-level introductions and advanced graduate-level books on special relativity. It begins at an elementary level, presenting and discussing the basic concepts normally covered incollege-level works, i ncluding the Lorentz transformation. Subsequent chapters introduce the four-dimensional worldview implied by the Lorentz transformations, mixing time and space coordinates, before continuing on to the formalism oftensors, a topic usually avoided in lower- level courses. The books second half addresses a number of essential points, including the concept of causality the equivalence between mass and energy, including applications relativisticoptics and measurements and matter in Minkowski spacetime. The clos ing chapters focus on the energy-momentum tensor of a continuous distribution of mass-energy and its covariant conservation angular momentum a discussion of thescalar field of perfect fluids and the Maxwell field and general coordinates. Every chapter is supplemented by a section with numerous exercises, allowing readers to practice the theory. These exercises constitute an essential part ofthe textbook, and the solutions to approximately half of them are provided in the appendix
Note:Springer eBooks
Contents:Fundamentals of Special Relativity
Introduction
The Principle of Relativity
Groupsthe Galilei group
Galileian law of addition of velocities
The lesson from electromagnetism
The postulates of Special Relativity
Consequences of the postulates
Conclusion
Problems
The Lorentz transformation
Introduction
The Lorentz transformation
Derivation of the Lorentz transformation
Mathematical properties of the Lorentz transformation
Absolute speed limit and causality
Length contraction from the Lorentz transformation
Time dilation from the Lorentz tran
ISBN:9783319011073
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2013-9783319006062:ONLINE Show nearby items on shelf
Title:Theoretical Femtosecond Physics [electronic resource] : Atoms and Molecules in Strong Laser Fields
Author(s): Frank Grossmann
Date:2013
Edition:2nd ed. 2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Theoretical investigations of atoms and molecules interacting with pulsed or continuous wave lasers up to atomic field strengths on the order of 10^16 W/cm are leading to an understanding of many challenging experimentaldiscoveries.This book deals wi th the basics of femtosecond physics and goes up to the latest applications of new phenomena. The book presents an introduction to laser physics with mode-locking and pulsed laser operation. The solutionof the time-dependent Schrdinger equation is discuss ed both analytically and numerically.The basis for the non-perturbative treatment of laser-matter interaction in the book is the numerical solution of the time-dependentSchrdinger equation. The light field is treated classically, and different possible ga uges are discussed. Physical phenonema, ranging from Rabi-oscillations in two-level systems to the ionization of atoms, the generation of highharmonics, the ionization and dissociation of molecules as well as the control of chemical reactions are presente d and discussed on a fundamental level. In this way the theoretical background for state of the art experiments withstrong and short laser pulses is given. The text is augmented by more than thirty exercises, whose worked-out solutions are given in the la st chapter. Some detailed calculations are performed in the appendices. Furthermore, eachchapter ends with references to more specialized literature
Note:Springer eBooks
Contents:A Short Introduction to Laser Physics
Time
Dependent Quantum Theory
Field Matter Coupling and Two
Level Systems
Single Electron Atoms in Strong Laser Fields
Molecules in Strong Laser Fields
Solutions to Problems
ISBN:9783319006062
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Chemistry , Quantum theory
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Call number:SPRINGER-2013-9783319004013:ONLINE Show nearby items on shelf
Title:Computational Physics [electronic resource] : Simulation of Classical and Quantum Systems
Author(s): Philipp O.J Scherer
Date:2013
Edition:2nd ed. 2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics.Many clear mathemati cal descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study theproperties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations.Several classes of integration methods are discussed includin g not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space.Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment ofdifferential equations provides methods of finite differences, finite volumes, finite elements and boundar y elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantumsystems is performed, containing pseudo-spectral methods, finite differences methods, rational approximation to the time evolution op erator, second order differencing and split operator methods. The book gives simple but non trivialexamples from a broad range of physical topics trying to give the reader insight into the numerical treatment but also the simulated problems. Rotational mo tion is treated in much detail to describe the motion of rigid rotors which canbe just a simple spinning top or a collection of molecules or planets. The behaviour of simple quantum systems is studied t
Note:Springer eBooks
Contents:Part I Numerical Methods
Error Analysis
Interpolation
Numerical Differentiation
Numerical Integration
Systems of Inhomogeneous Linear Equations
Roots and Extremal Points
Fourier Transformation
Random Numbers and Monte
Carlo Methods
Eigenvalue Problems
Data Fitting
Discretization of Differential Equations
Equations of Motion
Part II Simulation of Classical and Quantum Systems
Rotational Motion
Molecular Dynamics
Thermodynamic Systems
Random Walk and Brownian Motion
Electrostatics
Waves
Diffusion
Nonlinear Systems
Simple Quantum S
ISBN:9783319004013
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Engineering mathematics
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Call number:SPRINGER-2013-9783034802376:ONLINE Show nearby items on shelf
Title:The Tower of Hanoi Myths and Maths [electronic resource]
Author(s): Andreas M Hinz
Sandi Klavar
Uro Milutinovi
Ciril Petr
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is the first comprehensive monograph on the mathematical theory of the solitaire game The Tower of Hanoi which was invented in the 19th century by the French number theorist douard Lucas. The book comprises a surveyof the historical development from the games predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-containedpresentation of the essential mathematical facts with comple te proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiski graphs. Acknowledging the greatpopularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics,network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the Tower of London, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions imposethemselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical e xperiments supporting its truth, it remains unsettled after more than 70 years and thus demonstratesthe timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exer cises as well as problems for further exploration, this book is enjoyablereading for students, educators, game enthusiasts and researchers alike
Note:Springer eBooks
Contents:Foreword by Ian Stewart
Preface
0 The Beginning of the World
1 The Chinese Rings
2 The Classical Tower of Hanoi
3 Lucass Second Problem
4 Sierpinski Graphs
5 The Tower of Hanoi with More Pegs
6 Variations of the Puzzle
7 The Tower of London
8 Tower of Hanoi Variants with Oriented Disc Moves
9 The End of the World
A Hints and Solutions to Exercises
Glossary
Bibliography
Name Index
Subject Index
Symbol Index
ISBN:9783034802376
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer software , Sequences (Mathematics) , Combinatorics
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Call number:SPRINGER-2013-9781461486992:ONLINE Show nearby items on shelf
Title:Geodesic Convexity in Graphs [electronic resource]
Author(s): Ignacio M Pelayo
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:Geodesic Convexity in Graphsis devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph pathconvexities. The followi ng chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most studied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained duringthe last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products,boundary-type vertex sets, and perfect graph families. This monograph can serve as a suppleme nt to a half-semester graduatecourse in geodesic convexitybut is primarilya guide for postgraduates and researchers interested in topicsrelated to metric graph theory and graph convexity theory.
Note:Springer eBooks
ISBN:9781461486992
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Global differential geometry
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Call number:SPRINGER-2013-9781461485292:ONLINE Show nearby items on shelf
Title:Mathematics in the Real World [electronic resource]
Author(s): W.D Wallis
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematics in the Real World is a self-contained, accessible introduction to the world of mathematics for non-technical majors. With a focus on everyday applications and context, the topics in this textbook build in difficultyand are presented seque ntially, starting with a brief review of sets and numbers followed by an introduction to elementary statistics, models, and graph theory. Data and identification numbers are then covered, providing the pathwayto voting and finance. Each subject is covered in a concise and clear fashion through the use of real-world applications and the introduction of relevant terminology. Many sample problems both writing exercises and multiple-choicequestions are included to help develop students level of understandin g and to offer a variety of options to instructors. Covering six major units and outlining a one-semester course, Mathematics in the Real World is aimed atundergraduate liberal art students fulfilling the mathematics requirement in their degree program. T his introductory text will be an excellent resource for such courses, and will show students where mathematics arises in their everydaylives
Note:Springer eBooks
Contents:Preface
Part IIntroduction
Math is Everywhere
Numbers and Sets
Counting
Part IIStatistical Ideas
Collecting Data
Measuring Data
Normal
Sampling, Predicting
Multivariate Situations
Probability
Part IIIGraph Models
Euler
Hamilton
Trees
Scheduling, Critical Paths
Coloring, Handshakes
Part IVData
Identification Numbers
Data Transmission
Encryption The Hat Game
Part V Voting
Voting Systems
Messing with Systems
Electing a President
Part VI The Exponential World
Finance
Populations and Radioactivity.
ISBN:9781461485292
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2013-9781461482086:ONLINE Show nearby items on shelf
Title:Distributions, Partial Differential Equations, and Harmonic Analysis [electronic resource]
Author(s): Dorina Mitrea
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:The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. Thebook is written in a for mat suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to coverall intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have beencarefully chosen to amplify the effect, and substantiate the power and scop e, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematicalinterests will find this book to be a useful resource and complete self-study guide. Throughout, a spe cial effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance tosee the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed too ls (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonicanalysis, at the earliest opportunity
Note:Springer eBooks
Contents:Introduction
Summary of Topological and Functional Analysis Results
Weak Derivatives
The Space D0() of Distributions
The Fourier Transform
The Space of Tempered Distributions
Fundamental Solution
The Laplace Operator
The Heat Operator
The Wave Operator
The Lame Operator
Fundamental Solutions for Other Operators
Hypoelliptic operators
Sobolev spaces
Appendix
References.
ISBN:9781461482086
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Differential equations, partial , Potential theory (Mathematics)
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Call number:SPRINGER-2013-9781461476870:ONLINE Show nearby items on shelf
Title:Brownian Dynamics at Boundaries and Interfaces [electronic resource] : In Physics, Chemistry, and Biology
Author(s): Zeev Schuss
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:Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their keyrole in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions ofbiological micro devices such as protein ionic ch annels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry,biophysics, computer science, communications theory, mathematical finance theor y, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematicalproblems that neither the kinetic theory of Maxwell and Boltzmann, nor Einsteins and Langevins theori es of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition ofmathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who areinterested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout
Note:Springer eBooks
Contents:The Mathematical Brownian Motion
Euler Simulation of Ito SDEs
Simulation of the Overdamped Langevin Equation
The First Passage Time of a Diffusion Process
Chemical Reaction in Microdomains
The Stochastic Separatrix
Narrow Escape in R2
Narrow Escape in R3
ISBN:9781461476870
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v186
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical physics
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Call number:SPRINGER-2013-9781461469957:ONLINE Show nearby items on shelf
Title:Spectral and Dynamical Stability of Nonlinear Waves [electronic resource]
Author(s): Todd Kapitula
Keith Promislow
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:This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory andapplication. The book isolate s and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbitalstability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functionalanalytic point of view, including essential and absolute spectra, and devel ops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems iscarefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of theEvans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative ex amples. The book is intended for first or second year graduate students in mathematics, or those with equivalentmathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position tounderstand and contribute to current research in nonlinear stability
Note:Springer eBooks
Contents:Introduction
Background material and notation
Essential and absolute spectra
Dynamical implications of spectra: dissipative systems
Dynamical implications of spectra: Hamiltonian systems
Dynamical implications of spectra: Hamiltonian systems
Point spectrum: reduction to finite
rank eigenvalue problems
Point spectrum: linear Hamiltonian systems
The Evans function for boundary value problems
The Evans function for Sturm
Liouville operators on the real line
The Evans function for nth
order operators on the real line
Index
References
ISBN:9781461469957
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v185
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential equations, partial
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Call number:SPRINGER-2013-9781461469568:ONLINE Show nearby items on shelf
Title:Measure Theory [electronic resource] : Second Edition
Author(s): Donald L Cohn
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Intended as a self-contained introduction to measure theory, this textbook also includesa comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haarmeasures on locally compact groups. This second edition includes a chapter on measure-theoretic probability theory, plus brief treatments of the Banach-Tarski paradox, the Henstock-Kurzweil integral, the Daniell integral, and theexistence of liftings. Measure Theory provides a soli d background for study in both functional analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. Theprerequisites for this book are basic courses in point-set topology and in analysis, and the appendices present a thorough review ofessential background material. The author aims to present a straightforward treatment of thepart of measure theory necessary for analysis and probability' assuming only basic knowledge of analysis and topol ogy...Each chapter includes numerous well-chosen exercises, varying from very routine practice problems to importantextensions and developments of the theory for the difficult ones there are helpful hints. It is the reviewer's opinion that the author has succeeded in his aim. In spite of its lack of new results, the selection and presentation ofmaterials makes this a useful book for an introduction to measure and integration theory. Mathematical Reviews (Review of the First Edition) The book is a compreh ensive and clearly written textbook on measure andintegration...The book contains appendices on set theory, algebra, calculus and topology in Euclidean spaces, topological and metric spaces, and the Bochner integral. Each section of the book contains a nu mber of exercises.zbMATH (Review of the First Edition)
Note:Springer eBooks
Contents:1. Measures
Algebras and sigma
algebras
Measures
Outer measures
Lebesgue measure
Completeness and regularity
Dynkin classes
2. Functions and Integrals
Measurable functions
Properties that hold almost everywhere
The integral
Limit theorems
The Riemann integral
Measurable functions again, complex
valued functions, and image measures
3. Convergence
Modes of Convergence
Normed spaces
Definition of L^p and L^p
Properties of L^p and L
p
Dual spaces
4. Signed and Complex Measures
Signed and complex measures
Absolute continuity
Singu
ISBN:9781461469568
Series:e-books
Series:SpringerLink (Online service)
Series:Birkhuser Advanced Texts Basler Lehrbcher, 1019-6242
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781461466369:ONLINE Show nearby items on shelf
Title:An Invitation to Abstract Mathematics [electronic resource]
Author(s): Bla Bajnok
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problemis carefully chosen to cl arify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approachto a diverse collection of topics, this text poin ts out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by includinghistorical perspectives and notes on the giants of mathematics, by mentioni ng current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians.Ideally, this text should be used for a two semester course, where the first course has no prerequisi tes and the second is a more challenging course for math majors yet, the flexible structure of the book allows it to be used in avariety of settings, including as a source of various independent-study and research projects
Note:Springer eBooks
Contents:Preface to Instructors
Preface to Students
Acknowledgments
I What's Mathematics
1 Let's Play a Game!
2 What's the Name of the Game?
3 How to Make a Statement?
4 What's True in Mathematics?
5 Famous Classical Theorems
6 Recent Progress in Mathematics
II How to Solve It?
7 Let's be Logical!
8 Setting Examples
9 Quantifier Mechanics
10 Mathematical Structures
11 Working in the Fields (and Other Structures)
12 Universal Proofs
13 The Domino Effect
14 More Domino Games
15 Existential Proofs
16 A Cornucopia of Famous Problems
III Advanced
ISBN:9781461466369
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Logic, Symbolic and mathematical
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Call number:SPRINGER-2013-9781461461142:ONLINE Show nearby items on shelf
Title:Sequential Experimentation in Clinical Trials [electronic resource] : Design and Analysis
Author(s): Jay Bartroff
Tze Leung Lai
Mei-Chiung Shih
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:This book presents an integrated methodology for sequential experimentation in clinical trials. The methodology allows sequential learning during the course of a trial to improve the efficiency of the trial design, which oftenlacks adequate informati on at the planning stage. Adaptation via sequential learning of unknown parameters is a central idea not only in adaptive designs of confirmatory clinical trials but also in the theory of optimal nonlinearexperimental design, which the book covers as intr oductory material. Other introductory topics for which the book provides preparatory background include sequential testing theory, dynamic programming and stochastic optimization,survival analysis and resampling methods. In this way, the book gives a self -contained and thorough treatment of group sequential and adaptive designs, time-sequential trials with failure-time endpoints, and statistical inference atthe conclusion of these trials. The book can be used for graduate courses in sequential analysis, c linical trials, and biostatistics, and also for short courses on clinical trials at professional meetings. Each chapter ends withsupplements for the reader to explore related concepts and methods, and problems which can be used for exercises in graduate c ourses. Jay Bartroff is Associate Professor of Mathematics at the University of Southern California where heis a member of the Laboratory of Applied Pharmacokinetics at the USC Keck School of Medicine. He is a leading expert on group sequential and multis tage adaptive statistical procedures and their applications to clinical trial designs,and he is a sought-after consultant in academia and industry. Tze Leung Lai is Professor of Statistics, and by courtesy, of Health Research and Policy and of the Institu te of Computational and Mathematical Engineering at StanfordUniversity, where he is the Director of the Financial and Risk Modeling Institute and Co-director of the Biostatistics Core at the Stanford Ca
Note:Springer eBooks
Contents:Introduction
Nonlinear Regression, Experimental Design, and Phase I Clinical Trials
Sequential Testing Theory and Stochastic Optimization over Time
Group Sequential Design of Phase II and III Trials
Sequential Methods for Vaccine Safety Evaluation and Surveillance in Public Health
Time
Sequential Design of Clinical Trials with Failure
Time Endpoints
Confidence Intervals and p
Values
Adaptive Design of Confirmatory Trials
References
ISBN:9781461461142
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Statistics, 0172-7397 : v298
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2013-9781461459620:ONLINE Show nearby items on shelf
Title:Foundations of Abstract Analysis [electronic resource]
Author(s): Jewgeni H Dshalalow
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presentedin a self-contained wa y suitable both for classroom use and for self-study. While this book carries the rigor of advancedmodern analysis texts, it elaborates the material in much greater details and therefore fills a gap betweenintroductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of thepotential overload of new words, definitions, and concepts, the book (in its u nique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded byinformal discussions and blueprints followed by thorough details andsupported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of thebook, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. P rerequisites include advanced calculus, linear algebra, complex variables, and calculus basedprobability
Note:Springer eBooks
Contents:Set
Theoretic and Algebraic Preliminaries
Analysis of Metric Spaces
Elements of Point
Set Topology
Measurable Spaces and Measurable Functions
Measures
Integration in Abstract Spaces
Solutions to Selected Problems
Bibliography
List of Symbols
Index of Names and Terms
ISBN:9781461459620
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Numerical analysis
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Call number:SPRINGER-2013-9781461458685:ONLINE Show nearby items on shelf
Title:Functional Analysis in Mechanics [electronic resource]
Author(s): Leonid P Lebedev
Iosif I Vorovich
Michael J Cloud
Date:2013
Edition:2nd ed. 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:This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract butpowerful mathematical not ions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical andabstract portions of functional analysis. Taken togethe r, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exerciseswith hints and solutions. A new appendix, providing a convenient listing of e ssential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, andapplied mathematics. Reviews of first edition: This book covers functional analysis and its application s to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics whowish to understand the mathematical underpinnings of the discipline. . . . Detailed solutions of the exercises are provided in an app endix. (LEnseignment Mathematique, Vol. 49 (1-2), 2003) The reader comes away with aprofound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood.Numerous exercises. . .test the readers comprehension at every stage. Summing Up: Recommended. (F. E. J. Linton, Choice, September, 2003)
Note:Springer eBooks
Contents:Introduction
Metric, Banach, and Hilbert Spaces
Mechanics Problems from the Functional Analysis Viewpoint
Some Spectral Problems of Mechanics
Elements of Nonlinear Functional Analysis
Summary of Inequalities and Imbeddings
Hints for Selected Problems
References
In Memoriam: Iosif I. Vorovich
Index
ISBN:9781461458685
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Mechanics , Materials
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Call number:SPRINGER-2013-9781461454779:ONLINE Show nearby items on shelf
Title:Introduction to Perturbation Methods [electronic resource]
Author(s): Mark H Holmes
Date:2013
Edition:2nd ed. 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:This introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with anintroductory development involving ordinary differential equations, and goes on to cover more advanced topics such as systems and partial differential equations. Moreover, it also contains material arising from current researchinterest, including homogenisation, slender body the ory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of applicationareas. For this new edition every section has been updated throughout, many onl y in minor ways, while others have been completely rewritten. New material has also been added. This includes approximations for weakly coupledoscillators, analysis of problems that involve transcendentally small terms, an expanded discussion of Kummer fu nctions, and metastability. Two appendices have been added, one on solving difference equations and another on delayequations. Additional exercises have been included throughout. Review of first edition: Those familiar with earlier expositions of singular perturbations for ordinary and partial differential equations will find many traditionalgems freshly presented, as well as many new topics. Much of the excitement lies in the examples and the more than 250 exercises, which are guaranteed to provoke and c hallenge readers and learners with various backgrounds and levels ofexpertise. (SIAM Review, 1996 )
Note:Springer eBooks
Contents:Preface
Preface to Second Edition
Introduction to Asymptotic Approximations
Matched Asymptotic Expansions
Multiple Scales
The WKB and Related Methods
The Method of Homogenization
Introduction to Bifurcation and Stability
References
Index
ISBN:9781461454779
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v20
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461453925:ONLINE Show nearby items on shelf
Title:Interpolation and Sidon Sets for Compact Groups [electronic resource]
Author(s): Colin C Graham
Kathryn E Hare
Date:2013
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is aunique book, aimed at bo th new and experienced researchers. In particular, this is the only book in Englishwhich featuresa complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, inhard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included.The book introduces the reader to a wealth of methods important in mathematics today: topological,probabilistic, algebraic, combinatoric and analytic. It prepares students to perf orm research in the area and provides both exercises and open problems. The book also provides direction to the literature for topics it does not fullycover. The book is self-contained, with appendices covering results that are required, but not necessari ly in the pre-requisite background of a student ready to choose an area for research in harmonic analysis
Note:Springer eBooks
Contents:Preface
Introduction
Hadamard Sets
$\epsilon$
Kronecker sets
Sidon sets: Introduction and decomposition properties
Characterizations of $I_0$ sets
Proportional characterizations of Sidon sets
Decompositions of $I_0$ sets
Sizes of thin sets
Sets of zero discrete harmonic density
Related results
Open problems
Appendices (Groups, Probability, Combinatoric results,...)
Bibliography
Author index
Subject index
Index of notation
ISBN:9781461453925
Series:e-books
Series:SpringerLink (Online service)
Series:CMS Books in Mathematics, Ouvrages de mathmatiques de la SMC, 1613-5237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Functional analysis
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Call number:SPRINGER-2013-9781461450580:ONLINE Show nearby items on shelf
Title:Uniform Spaces and Measures [electronic resource]
Author(s): Jan Pachl
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:Uniform Spaces and Measures addresses the need for an accessible and comprehensive exposition of the theory of uniform measures -- a need that became more critical when uniform measures recently reemerged in new results inabstract harmonic analysis. Until now, results about uniform measures have been scattered throughout many papers written by a number of authors, some unpublished, using a variety of definitions and notations. Uniform measures arefunctionals on the space of bounded uniformly continuo us functions on a uniform space. They are a common generalization of several classes of measures and measure-like functionals studied in topological measure theory, probabilitytheory, and abstract harmonic analysis. They offer a natural framework for resu lts about topologies on spaces of measures and about the continuity of convolution of measures on topological groups and semitopological semigroups. Thisbook can serve as a reference for the theory of uniform measures. It includes a self-contained develop ment of the theory with complete proofs, starting with the necessary parts of the theory of uniform spaces. It also includes severalnew results, and presents diverse results from many sources organized in a logical whole. The content is also suitable for graduate or advanced undergraduate courses on selected topics in topology and functional analysis, and containsa number of exercises with hints to solutions as well as several open problems with suggestions for further research
Note:Springer eBooks
Contents:Prerequisites
1. Uniformities and Topologies
2. Induced Uniform Structures
3. Uniform Structures on Semigroups
4. Some Notable Classes of Uniform Spaces
5. Measures on Complete Metric Spaces
6. Uniform Measures
7. Uniform Measures as Measures
8. Instances of Uniform Measures
9. Direct Product and Convolution
10. Free Uniform Measures
11. Approximation of Probability Distributions
12. Measurable Functionals
Hints to Excercises
References
Notation Index
Author Index
Subject Index
ISBN:9781461450580
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Monographs, 1069-5273 : v30
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Functions of complex variables
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