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检索条件"丛书名=Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts"

共 31 条记录，以下是21-30 订阅

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Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® 1

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2004年

作者： Alexander Stanoyevitch

ISBN: (数字)9781118033326

ISBN: (纸本)9780471697381

"…reading it is a pleasure. In summary, here is an excellent, readable introduction to the elementary theory and practice of numerical mathematics." ( CHOICE , September 2005) ALEXANDER STANOYEVITCH, PhD, is a professor of mathematics and has served as department chairman at the University of Guam. He completed his graduate work in mathematical analysis at the University of Michigan–Ann Arbor. He has published several articles in leading mathematical journals and has been an invited speaker at numerous lectures and conferences. Dr. Stanoyevitch makes extensive use of MATLAB in most of the classes that he teaches.

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Principles of Differential Equations 1

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丛书名： pure and applied mathematics: a wiley-Interscience series of texts, monographs, and tracts,pure and applied mathematics (John wiley & Sons : unnumbered)

2004年

作者： Nelson G. Markley

ISBN: (数字)9781118033289

ISBN: (纸本)9780471649564

An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include: Basic dynamical systems concepts Constant coefficients Stability The Poincaré return map Smooth vector fields As a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students.

关键词： Differential equations.

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Galois theory /

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2004年

作者： Cox David A.

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Modern Algebra with Applications, Second Edition 2

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2003年

作者： William J. Gilbert W. Keith Nicholson

ISBN: (数字)9780471469889

ISBN: (纸本)9780471414513

Praise for the first edition "This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries."–CHOICE As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing–with extensive use in computing science, physics, chemistry, and data communications as well as in areas of mathematics such as combinatorics. Blending the theoretical with the practical in the instruction of modern algebra, Modern Algebra with Applications, Second Edition provides interesting and important applications of this subject–effectively holding your interest and creating a more seamless method of instruction. Incorporating the applications of modern algebra throughout its authoritative treatment of the subject, this book covers the full complement of group, ring, and field theory typically contained in a standard modern algebra course. Numerous examples are included in each chapter, and answers to odd-numbered exercises are appended in the back of the text. Chapter topics include: Boolean Algebras Polynomial and Euclidean Rings Groups Quotient Rings Quotient Groups Field Extensions Symmetry Groups in Three Dimensions Latin Squares Pólya—Burnside Method of Enumeration Geometrical Constructions Monoids and Machines Error-Correcting Codes Rings and Fields In addition to improvements in exposition, this fully updated Second Edition also contains new material on order of an element and cyclic groups, more details about the lattice of divisors of an integer, and new historical notes. Filled with in-depth insights and over 600 exercises of varying difficulty, Modern Algebra with Applications, Second Edition can help anyone

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Functional analysis /

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2002年

作者： Lax Peter D.

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Building and Solving Mathematical Programming Models in Engineering and Science 1

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2001年

作者： Enrique Castillo Antonio J. Gonejo Pablo Pedregal Ricardo Garciá Natalia Alguacil

ISBN: (数字)9780471225294

ISBN: (纸本)9780471150435

Fundamental concepts of mathematical modeling Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications. Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems-clearly showing the connection between physical and mathematical realities-while also describing and exploring the main concepts and tools at work. This highly computational coverage includes: * Discussion and implementation of the GAMS programming system * Unique coverage of compatibility * Illustrative examples that showcase the connection between model and reality * Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises * Real-world applications to probability and statistics, electrical engineering, transportation systems, and more Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.

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Functional Analysis 1

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts Ser.

2001年

作者： Terry J. Morrison

ISBN: (数字)9781118031247

ISBN: (纸本)9780471372141

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.

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An Introduction to Metric Spaces and Fixed Point Theory 1

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丛书名： pure and applied mathematics (wiley-Interscience series of texts, monographs, and tracts)

2001年

作者： Khamsi, Mohamed A. Kirk, William A. Khamsi

Presents up-to-date Banach space results. Features an extensive bibliography for outside reading. Provides detailed exercises that elucidate more introductory material.

ISBN: (数字)9781118033074

ISBN: (纸本)9780471418252

Presents up-to-date Banach space results. Features an extensive bibliography for outside reading. Provides detailed exercises that elucidate more introductory material.

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applied Functional Analysis, Second Edition 2

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2000年

作者： Jean‐Pierre Aubin

ISBN: (数字)9781118032725

ISBN: (纸本)9780471179764

A novel, practical introduction to functional analysis In the twenty years since the first edition of applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations. To keep the presentation concise and accessible, Jean-Pierre Aubin introduces functional analysis through the simple Hilbertian structure. He seamlessly blends pure mathematics with applied areas that illustrate the theory, incorporating a broad range of examples from numerical analysis, systems theory, calculus of variations, control and optimization theory, convex and nonsmooth analysis, and more. Finally, a summary of the essential theorems as well as exercises reinforcing key concepts are provided. applied Functional Analysis, Second Edition is an excellent and timely resource for both pure and applied mathematicians.

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Lebesgue Measure and Integration 1

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丛书名： pure and applied mathematics: A wiley-Interscience series of texts, monographs and tracts

1997年

作者： Frank Burk

ISBN: (数字)9781118032732

ISBN: (纸本)9780471179788

A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough presentation of the preliminary concepts of undergraduate analysis, this book covers all the important topics, including measure theory, measurable functions, and integration. It offers an abundance of support materials, including helpful illustrations, examples, and problems. To further enhance the learning experience, the author provides a historical context that traces the struggle to define "area"and "area under a curve" that led eventually to Lebesgue measure and integration. Lebesgue Measure and Integration is the ideal text for an advanced undergraduate analysis course or for a first-year graduate course in mathematics, statistics, probability, and other applied areas. It will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed.

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