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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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