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SPIRES-BOOKS: FIND KEYWORD CALCULUS TEXTBOOKS *END*INIT* use /tmp/qspiwww.webspi1/8315.11 QRY 131.225.70.96 . find keyword calculus textbooks ( in books using www Cover
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Call number:SPRINGER-2012-9781461438946:ONLINE Show nearby items on shelf
Title:Calculus on Normed Vector Spaces [electronic resource]
Author(s): Rodney Coleman
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematicalmaturity. All the important t opology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book isone of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader
Note:Springer eBooks
Contents:Preface
1 Normed Vector Spaces
2 Differentiation
3 Mean value theorems
4 Higher derivatives and differentials
5 Taylor theorems and applications
6 Hilbert spaces
7 Convex functions
8 The inverse and implicit mapping theorems
9 Vector fields
10 The flow of a vector field
11 The calculus of variations: an introduction
Bibliography
Index
ISBN:9781461438946
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Mathematical optimization
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Call number:SPRINGER-2010-9781441957832:ONLINE Show nearby items on shelf
Title:The Theory of Differential Equations [electronic resource] Classical and Qualitative
Author(s): Walter G Kelley
Allan C Peterson
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the importanttopics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as a chapter on perturbation methods and a section in Chapter 3 that shows how to solvedifferential equations using Mathematica codes. In add ition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible withMathematica, version 7.0, and all Mathematica codes are in the book itself. Thi s new edition also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2concerning fundamental matrices, and many further enhancements to the first edition. This book can be u sed either for a second course in ordinary differential equations or as an introductory course for well-prepared students. Theprerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from lin ear algebra are introduced along with examples in the book. An undergraduate course in analysis is neededfor the more theoretical subjects covered in the final two chapters
Note:Springer eBooks
Contents:First
Order Differential Equations
Linear Systems
Autonomous Systems
Perturbation Methods
The Self
Adjoint Second
Order Differential Equation
Linear Differential Equations of Order n
BVPs for Nonlinear Second
Order DEs
Existence and Uniqueness Theorems
ISBN:9781441957832
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext : v0
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations
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Call number:SPRINGER-2008-9783764374785:ONLINE Show nearby items on shelf
Title:Analysis II [electronic resource]
Author(s): Herbert Amann
Joachim Escher
Date:2008
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and cleardevelopment that started in Volume I (3-7643-7153-6) continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is representedin traditional textbooks. This applies, for ins tance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another exampleis the presentation of the local theory of submanifolds of Rn
Note:Springer eBooks
Contents:Preface
VI. Integral Calculus in One Variable
1. Step Continuous Functions
2. Continuous Extensions
3. The Cauchy
Riemann Integral
4. Properties of the Integral
5. The Technology of Integration
6. Sums and Integrals
7. Fourier Series
8. Improper Integrals
9. The Gamma Function
VII. Differential Calculus in Several Variables
1. Continuous Linear Mappings
2. Differentiability
3. Calculation Rules
4. Multilinear Mappings
5. Higher Derivatives
6. Nemytski Operators and Calculus of Variations
7. Inverse Mappings
8. Implicit Functions
9. Manifolds
10. Tang
ISBN:9783764374785
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Functions of complex variables , Functions, special
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Call number:SPRINGER-2008-9780387724881:ONLINE Show nearby items on shelf
Title:Algebra [electronic resource] : Fields with Structure, Algebras and Advanced Topics
Author(s): Falko Lorenz
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by afirst course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions andalgebraic geometry. The main focus of the seco nd volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of afield, the calculus of Witt vectors, the Schur group of a field, a nd local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the Germanversion: This is a charming textbook, introducing the reader to the classical parts of algebr a. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at leastin the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews
Note:Springer eBooks
Contents:Ordered Fields and Real Fields
Hilbert's Seventeenth Problem and the Real Nullstellensatz
Orders and Quadratic Forms
Absolute Values on Fields
Residue Class Degree and Ramification Index
Local Fields
Witt Vectors
The Tsen Rank of a Field
Fundamentals of Modules
Wedderburn Theory
Crossed Products
The Brauer Group of a Local Field
Local Class Field Theory
Semisimple Representations of Finite Groups
The Schur Group of a Field
ISBN:9780387724881
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Field theory (Physics) , Matrix theory , Number theory
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Call number:SPRINGER-2006-9783540330677:ONLINE Show nearby items on shelf
Title:Compact Riemann Surfaces [electronic resource] : An Introduction to Contemporary Mathematics
Author(s): Jrgen Jost
Date:2006
Edition:Third Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporarymathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in includingan introduction to Teichmller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation
Note:Springer eBooks
Contents:Topological Foundations
Differential Geometry of Riemann Surfaces
Harmonic Maps
Teichmller Spaces
Geometric Structures on Riemann Surfaces
Erratum to: Characterizing Programming Systems Allowing Program Self
reference
ISBN:9783540330677
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
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Call number:SPRINGER-2006-9780387316086:ONLINE Show nearby items on shelf
Title:Algebra [electronic resource] : Fields and Galois Theory
Author(s): Falko Lorenz
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by afirst course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions andalgebraic geometry. The main focus of the seco nd volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, diophantinedimensions of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews ofthe German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are,at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews
Note:Springer eBooks
Contents:Constructibility with Ruler and Compass
Algebraic Extensions
Simple Extensions
Fundamentals of Divisibility
Prime Factorization in Polynomial Rings. Gausss Theorem
Polynomial Splitting Fields
Separable Extensions
Galois Extensions
Finite Fields, Cyclic Groups and Roots of Unity
Group Actions
Applications of Galois Theory to Cyclotomic Fields
Further Steps into Galois Theory
Norm and Trace
Binomial Equations
Solvability of Equations
Integral Ring Extensions with Applications to Galois Theory
The Transcendence of ?
Fundamentals of Transcenden
ISBN:9780387316086
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Field theory (Physics) , Number theory
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Call number:SPRINGER-2005-9783764373238:ONLINE Show nearby items on shelf
Title:Analysis I [electronic resource]
Author(s): Herbert Amann
Joachim Escher
Date:2005
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is the first of a three volume introduction to analysis. It is distinguished by its modern and clear presentation, concentrating always on the essential concepts. In contrast to most other textbooks, there is noartificial separation between the theories of one variable and that of many variables. Emphasis is placed on the early development of a solid foundation in topology. As well, the basics of complex analysis are covered. This book isdirected primarily to the students and instructors of beginning courses in analysis. But, with the many examples, exercises and the supplementary material, it is also suitable for self-study, as preparation for advanced study, and as abasis for other research in mathematics and physics. This textbook provid es an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essential.'' Zeitschrift fr Analysisund ihre Anwendung 18, No. 4 (G. Berger, review of the first German edition) One advantage of this p resentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' W. Grlz, reviewof the first German edition
Note:Springer eBooks
Contents:Preface
I. Basics
II.Convergence
III. Continuous Functions
IV. Calculus in One Variable
V. Sequences of Functions
Bibliography
Index
ISBN:9783764373238
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2005-9783540299264:ONLINE Show nearby items on shelf
Title:Analysis II [electronic resource] : Differential and Integral Calculus, Fourier Series, Holomorphic Functions
Author(s): Roger Godement
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences atParis VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches tothe main results, in order to initiate the read er to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas overcalculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first twovolumes are now available in English
Note:Springer eBooks
Contents:Differential and Integral Calculus
The Riemann Integral
Integrability Conditions
The Fundamental Theorem (FT)
Integration by parts
Taylors Formula
The change of variable formula
Generalised Riemann integrals
Approximation Theorems
Radon measures in ? or ?
Schwartz distributions
Asymptotic Analysis
Truncated expansions
Summation formulae
Harmonic Analysis and Holomorphic Functions
Analysis on the unit circle
Elementary theorems on Fourier series
Dirichlets method
Analytic and holomorphic functions
Harmonic functions and Fourie
ISBN:9783540299264
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2004-9783662099599:ONLINE Show nearby items on shelf
Title:Space Physics An Introduction to Plasmas and Particles in the Heliosphere and Magnetospheres
Author(s): May-Britt Kallenrode
Date:2004
Edition:Third, Enlarged Edition
Size:1 online resource (482 p.)
Note:10.1007/978-3-662-09959-9
Contents:I Plasmas: The Basics -- 1 Introduction -- 2 Charged Particles in Electromagnetic Fields -- 3 Magnetohydrodynamics -- 4 Plasma Waves -- 5 Kinetic Theory -- II Space Plasmas -- 6 Sun and Solar Wind: Plasmas in the Heliosphere -- 7
Energetic Particles in the Heliosphere -- 8 The Terrestrial Magnetosphere -- 9 Planetary Magnetospheres -- 10 Solar—Terrestrial Relationships -- III The Methods -- 11 Instrumentation -- 12 Science in a Complex Environment -- A.1 List
of Symbols -- A.2 Equations in the SI and cgs System -- A.3 Useful Relations -- A.3.1 Vector Calculus -- A.3.2 Cylindrical Coordinates -- A.3.3 Spherical Coordinates -- A.4 Useful Numbers -- A.4.1 Fundamental Constants -- A.4.2 Numbers
in Plasmas -- A.4.3 Conversion of Units -- A.5 Useful Internet Resources -- A.5.1 Space Physics — General -- A.5.2 Textbooks and other Educational Material -- A.5.3 Missions -- A.5.4 The Sun -- A.5.5 Solar—Terrestrial Relationships --
A.5.6 Aurorae -- A.5.7 Data -- References
ISBN:9783662099599
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Observations, Astronomical , Astronomy , Astrophysics , Space sciences , Atoms , Physics , Extraterrestrial Physics, Space Sciences , Astronomy, Observations and Techniques , Astrophysics and Astroparticles , Atomic, Molecular, Optical and Plasma Physics
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Call number:SPRINGER-1991-9781461209393:ONLINE Show nearby items on shelf
Title:Theory of Complex Functions
Author(s): Reinhold Remmert
Date:1991
Size:1 online resource (458 p.)
Note:10.1007/978-1-4612-0939-3
Contents:Historical Introduction -- Chronological Table -- A. Elements of Function Theory -- 0. Complex Numbers and Continuous Functions -- 1. Complex-Differential Calculus -- 2. Holomorphy and Conformality. Biholomorphic Mappings.. -- 3.
Modes of Convergence in Function Theory -- 4. Power Series -- 5. Elementary Transcendental Functions -- B. The Cauchy Theory -- 6. Complex Integral Calculus -- 7. The Integral Theorem, Integral Formula and Power Series Development --
C. Cauchy-Weierstrass-Riemann Function Theory -- 8. Fundamental Theorems about Holomorphic Functions -- 9. Miscellany -- 10. Isolated Singularities. Meromorphic Functions -- 11. Convergent Series of Meromorphic Functions -- 12. Laurent
Series and Fourier Series -- 13. The Residue Calculus -- 14. Definite Integrals and the Residue Calculus -- Short Biographies o/Abel, Cauchy, Eisenstein, Euler, Riemann and Weierstrass -- Photograph of Riemann’s gravestone --
Literature -- Classical Literature on Function Theory — Textbooks on Function Theory — Literature on the History of Function Theory and of Mathematics Symbol Index -- Name Index -- Portraits of famous mathematicians 3
ISBN:9781461209393
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate in Texts Mathematics, Readings in Mathematics: 122
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1988-9789400927544:ONLINE Show nearby items on shelf
Title:Optimal Structural Design under Stability Constraints
Author(s): Antoni Gajewski
Date:1988
Size:1 online resource (470 p.)
Note:10.1007/978-94-009-2754-4
Contents:1. Elements of the theory of structural stability -- 1.1 Definition of stability -- 1.2 Stability of elastic structures -- 1.3 Elastic-plastic stability -- 1.4 Stability and buckling in creep conditions -- 2. Problems of optimal
structural design -- 2.1 Formulation of optimization problems -- 2.2 Design objectives and their criteria -- 2.3 Design variables -- 2.4 Constraints and their criteria -- 2.5 Equation of state -- 2.6 Stability constraints in structural
optimization -- 3. Methods of structural optimization -- 3.1 Calculus of variations -- 3.2 Pontryagin’s maximum principle -- 3.3 Sensitivity analysis -- 3.4. Parametric optimization, mathematical programming -- 4. Elastic and inelastic
columns -- 4.1 Stability of non-prismatic columns -- 4.2 Unified approach to optimization of columns -- 4.3. Unimodal solutions to linearly elastic problems -- 4.4 Multimodal solutions to conservative problems -- 4.5 Non-conservative
linearly-elastic problems -- 4.6 Inelastic columns -- 5. Arches -- 5.1 Stability of non-prismatic arches -- 5.2 General statement of the optimization problem -- 5.3 Funicular arches -- 5.4 Extensible arches optimized for in-plane
bifurcation and snap-through -- 5.5 Optimal forms of axis of the arch -- 6. Trusses and Frames -- 6.1 Stability of trusses -- 6.2 Optimal design of trusses -- 6.3 Stability of frames -- 6.4 Optimal design of frames -- 7. Plates and
Panels -- 7.1 Governing equations of stability of plates -- 7.2 Optimal design of circular and annular plates -- 7.3 Optimal design of rectangular plates -- 7.4 Aeroelastic optimization -- 8. Shells -- 8.1 Stability of shells -- 8.2
Optimal design of cylindrical shells -- 8.3 Optimal design of cylindrical shells via the concept of uniform stability -- 8.4 Optimal design of noncylindrical shells -- 9. Thin-walled bars -- 9.1 Stability of thin-walled bars -- 9.2
Optimal design of thin-walled columns -- 9.3 Optimal design of thin-walled beams -- 9.4 Aeroelastic problems -- 9.5 Optimal design of structures of thin-walled elements -- 9.6 Final remarks -- References -- I. Monographs, textbooks and
proceedings of selected symposia -- 1. Optimal structural design -- 2. Structural stability -- 3. Optimization theory and methods -- II. References to individual chapters -- 1. Elements of the theory of structural stability -- 2.
Problems of structural design -- 3. Methods of structural optimization -- 4. Elastic and inelastic columns -- 5. Arches -- 6. Trusses and frames -- 7. Plates and panels -- 8. Shells -- 9. Thin-walled bars -- III. References added in
proof -- Author Index
ISBN:9789400927544
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mechanics of Elastic Stability: 13
Keywords: Physics , Mechanics , Physics , Mechanics
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Call number:QA37.2.B63::2006 Show nearby items on shelf
Title:Mathematical Methods in the Physical Sciences
Author(s): Mary L. Boas
Date:2006
Publisher:Wiley
Note:3rd ed.
Contents:Infinite Series, Power Series
Complex Numbers
Linear Algebra
Partial Differentiation
Multiple Integrals
Vector Analysis
Fourier Series and Transforms
Ordinary Differential Equations
Calculus of Variations
Tensor Analysis
Special Functions
Legendre, Bessel, Hermite, and Laguerre Functions
Partial Differential Equations
Functions of a Complex Variable
Probability and Statistics
ISBN:0471198269
Keywords: Mathematics - Textbooks
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Call number:QA303.2.L38::2014 Show nearby items on shelf
Title:Calculus of a single variable.
Author(s): Ron Larson
Bruce H. Edwards
(Pennsylvania State University, University of Florida)
Date:2014
Publisher:Boston, MA : Brooks Cole, Cengage Learning
Size:746 P.
ISBN:9781285060286
Keywords: Calculus Textbooks.
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