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Partial Differential Equations and Boundary Value Problems with Mathematica
Prem K Kythe, University of New Orleans, Louisiana, USA; Pratap Puri, University of New Orleans, Louisiana, USA; Michael R Schaferkotter, Sverdrup Technology, Inc., Stennis Space Center, Louisi
CRC Press
Engineering

  • Incorporates extensive revisions, including the use of the latest version of Mathematica (4.x)
  • Extends the topics addressed to include initial and boundary value problems from continuum mechanics as well as mathematical physics
  • Provides the underlying mathematical analysis with focus on the development of methods
  • Includes answers to all exercises with hints and detailed solutions to some of the more difficult ones
  • Furnishes Mathematica programs on the Internet at www.crcpress.com
Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand.

Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.

New in this edition:

  • Upgraded and expanded Mathematica sections that include more exercises
  • An entire chapter on boundary value problems
  • More on inverse operators, Legendre functions, and Bessel functions
  • Simplified treatment of Green's functions that make it more accessible to undergraduates
  • A section on the numerical computation of Green's functions
  • Mathemcatica codes for solving most of the problems discussed
  • Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows
  • Wave propagation and dispersion
With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.

Table of Contents
Book Partial Differential Equations and Boundary Value Problems with Mathematica, 2nd Edition
Format Hardcover
ISBN 1584883146
Copyright Year 2002
$122.00   
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Prem K Kythe University of New Orleans Louisiana USA Pratap Puri University of New Orleans Louisiana USA Michael R Schaferkotter Sverdrup Technology Inc Stennis Space Center Louisi Partial Differential Equations Boundary Value Problems Mathematica

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