Partial Differential Equations of Applied Mathematics

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9780471690733: Partial Differential Equations of Applied Mathematics

This new edition features the latest tools for modeling, characterizing, and solving partial differential equations

The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples.

Among the new and revised material, the book features:
* A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically.
* Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically.
* A related FTP site that includes all the Maple code used in the text.
* New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available.

The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems.

With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.

 

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From the Publisher:

A revised and expanded edition of the applied partial differential equations work. This comprehensive, self-contained treatment discusses mathematical models that give rise to PDE's, classifies the equations and problems into different types, and examines exact and approximate methods for solution of these problems. Addresses problems that involve both linear and nonlinear equations of the three basic types, parabolic, hyperbolic, and elliptic. Coverage ranges from solution methods for first-order PDE's to perturbation and asymptotic methods for solving linear and nonlinear higher order equations. Includes a substantial number of new exercises and examples, many with answers. Chapter order is flexible enough to be used for full-year or one-semester courses.

About the Author:

ERICH ZAUDERER, PhD, is Professor of Mathematics in the Department of Mathematics at Polytechnic University. Prior to joining the faculty of Polytechnic University, he was a Senior Weizmann Fellow at the Weizmann Institute of Science. His research interests include applied mathematics and nonlinear wave propagation, as well as perturbation and asymptotic solutions of partial differential equations.

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Zauderer, Erich
Editorial: Wileyand#8211;Blackwell (2006)
ISBN 10: 0471690732 ISBN 13: 9780471690733
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Descripción John Wiley and Sons Ltd, United Kingdom, 2006. Hardback. Estado de conservación: New. 3rd Edition. Language: English . Brand New Book. This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: â A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. â Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. â A related site that includes all the Maple code used in the text. â New exercises in each chapter, and answers to many of the exercises are provided via the site. A supplementary Instructor s Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green s functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material. An Instructor s Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department. Nº de ref. de la librería AAH9780471690733

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ISBN 10: 0471690732 ISBN 13: 9780471690733
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Descripción John Wiley and Sons Ltd, United Kingdom, 2006. Hardback. Estado de conservación: New. 3rd Edition. Language: English . Brand New Book. This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: â A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. â Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. â A related site that includes all the Maple code used in the text. â New exercises in each chapter, and answers to many of the exercises are provided via the site. A supplementary Instructor s Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green s functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material. An Instructor s Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department. Nº de ref. de la librería AAH9780471690733

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Descripción Estado de conservación: New. Bookseller Inventory # ST0471690732. Nº de ref. de la librería ST0471690732

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Descripción Wiley 2006-07-01, Hoboken, N.J. :|Chichester, 2006. hardback. Estado de conservación: New. Nº de ref. de la librería 9780471690733

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Descripción Wiley-Interscience, 2006. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería P110471690732

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Descripción Wiley-Interscience, 2006. Estado de conservación: New. This book is a comprehensive guide to modeling, characterizing, and solving partial differential equations, presenting some numerical methods for the solution of PDEs. The introduction of computer codes (Maple) to implement the solution of PDEs via direct numerical methods enhances this new edition. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 968 pages, Illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 243 x 171 x 53. Weight in Grams: 1472. . 2006. 3rd Edition. Hardcover. . . . . . Nº de ref. de la librería V9780471690733

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Descripción Hardback. Estado de conservación: New. Not Signed; This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the the. book. Nº de ref. de la librería ria9780471690733_rkm

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Descripción Wiley-Interscience. Estado de conservación: New. This book is a comprehensive guide to modeling, characterizing, and solving partial differential equations, presenting some numerical methods for the solution of PDEs. The introduction of computer codes (Maple) to implement the solution of PDEs via direct numerical methods enhances this new edition. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 968 pages, Illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 243 x 171 x 53. Weight in Grams: 1472. . 2006. 3rd Edition. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780471690733

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