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Applied Mathematical Sciences

Symmetries and Differential Equations

Authors: Bluman, George, Kumei, Sukeyuki

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  • ISBN 978-1-4757-4307-4
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  • Due: August 3, 1989
  • ISBN 978-0-387-96996-1
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About this book

A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.

Reviews

From the reviews of the second edition:

"The book by Bluman and Anco is an introduction to symmetry-based methods … . The book is written in a clear and straightforward style, using many excellent worked examples … . As someone who teaches an undergraduate course on symmetry methods, I would recommend Bluman and Anco’s book as a good source of examples and supplementary reading. … for anyone wishing to master techniques for obtaining first integrals of ODEs, this book is outstanding." (Peter Hydon, UK Nonlinear News, June, 2003)

"The book under review devoted to symmetry and integration methods for differential equations is a significant update … . The book has a Preface and Introduction well presenting its aim. … Moreover, it has a final section Discussion which puts its contents into perspective by summarizing major results, by referring to related works and by introducing related material. … the book should be particularly suitable for applied mathematicians, physicists and engineers. … the publication of the present book should be highly welcome." (J. Synnatzschke, Zeitschrift für Analysis und ihre Anwendungen, Vol. 22 (1), 2003)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-1-4757-4307-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: August 3, 1989
  • ISBN 978-0-387-96996-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Bibliographic Information

Bibliographic Information
Book Title
Symmetries and Differential Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
81
Copyright
1989
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-4307-4
DOI
10.1007/978-1-4757-4307-4
Hardcover ISBN
978-0-387-96996-1
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XIII, 413
Topics

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