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Symmetry Analysis of Differential Equations An Introduction

Daniel J. Arrigo

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ISBN 10: 1118721403 / ISBN 13: 9781118721407
Published by Wiley
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224 pages. Dimensions: 9.8in. x 5.9in. x 0.6in.Symmetry analysis has played a crucial role in the construction of exact solutions to differential equations. In fact, all the standard techniques for solving first order ordinary differential equations (ODEs) can be explained by symmetry analysis. The usefulness of symmetry analysis is readily evident, and the beauty of the method is that it is both fairly easy to learn and is very algorithmic, making it amenable to a variety of computer algebra packages such as Maple or Mathematica. Symmetry Analysis of Differential Equations: An Introductionfills a gap in the literature by providing introductory coverage of both ODEs and partial differential equations (PDEs), explores select advanced topics, and contains platiful problems with complete solutions. Chapter coverages includes: ordinary differential equations with Lies invariance condition, standard integration techniques, infinitesimal operator and higher order equations, second order questions, and ODE systems; partial differential equations with first and second order equations, systems of PDEs, higher dimensional PDEs, and nonclassical symmetries; and compatibility with nonclassical symmetry analysis and first order compatibility. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9781118721407

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Bibliographic Details

Title: Symmetry Analysis of Differential Equations ...

Publisher: Wiley

Binding: Hardcover

Book Condition:New

Book Type: Hardcover

About this title

Synopsis:

A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs

Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems.

Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features:

  • Detailed, step-by-step examples to guide readers through the methods of symmetry analysis
  • End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods

Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.

From the Back Cover:

A SELF-CONTAINED INTRODUCTION TO THE METHODS AND TECHNIQUES OF SYMMETRY ANALYSIS USED TO SOLVE ODEs AND PDEs

Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems.

Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features:

  • Detailed, step-by-step examples to guide readers through the methods of symmetry analysis
  • End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods

Symmetry Analysis of Differential Equations: An Introduction
is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.

DANIEL J. ARRIGO, PhD, is Professor in the Department of Mathematics at the University of Central Arkansas. The author of over 30 journal articles, his research interests include the construction of exact solutions of PDEs; symmetry analysis of nonlinear PDEs; and solutions to physically important equations, such as nonlinear heat equations and governing equations modeling of granular materials and nonlinear elasticity. In 2008, Dr. Arrigo received the Oklahoma-Arkansas Section of the Mathematical Association of America’s Award for Distinguished Teaching of College or University Mathematics.

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