Partial Differential Equations of Applied Mathematics 3rd Third Edition Zauderer

Description: About this productProduct InformationThis 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.Product IdentifiersPublisherWiley & Sons, Incorporated, JohnISBN-100471690732ISBN-139780471690733eBay Product ID (ePID)48700013Product Key FeaturesAuthorErich ZaudererPublication NamePartial Differential Equations of Applied MathematicsFormatHardcoverLanguageEnglishFeaturesRevisedSeriesPure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.Publication Year2006TypeTextbookNumber of Pages968 PagesDimensionsItem Length9.7in.Item Height2.2in.Item Width6.4in.Item Weight52 OzAdditional Product FeaturesSeries Volume Number71Lc Classification NumberQa377.Z38 2006Edition DescriptionRevised EditionEdition Number3Table of ContentPreface. 1. Random Walks and Partial Differential Equations. 2. First Order Partial Differential Equations. 3. Classification of Equations and Characteristics. 4. Initial and Boundary Value Problems in Bounded Regions. 5. Integral Transforms. 6. Integral Relations. 7. Green's Functions. 8. variational and Other Methods. 9. Regular Perturbation Methods. 10. Asymptotic Methods. 11. Finite Difference Methods. 12. Finite Element Methods in Two Dimensions. Bibliography. Index.Copyright Date2006Target AudienceScholarly & ProfessionalTopicDifferential Equations / General, Differential Equations / PartialLccn2006-042189Dewey Decimal515.353Dewey Edition22IllustratedYesGenreMathematics

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