Symmetry and Integration Methods for Differential Equations

George Bluman, Stephen Anco

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Hardback

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English

see SPRINV SPRINP
01 July 2002

Mathematics & Sciences; Differential calculus & equations

Series: Applied Mathematical Sciences

This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, computational approach to finding integrating factors and first integrals. Numerous examples including ordinary differential equations arising in applied mathematics are used for illustration and exercise sets are included throughout the text.

This book is designed for advanced undergraduate or beginning graduate students of mathematics and physics, as well as researchers in mathematics, physics, and engineering.

By: George Bluman, Stephen Anco
Imprint: see SPRINV SPRINP
Country of Publication: United States
Edition: 2nd ed.
Volume: v. 154
Dimensions: Height: 234mm, Width: 156mm, Spine: 23mm
Weight: 1.730kg
ISBN: 9780387986548
ISBN 10: 0387986545
Series: Applied Mathematical Sciences
Pages: 429
Publication Date: 01 July 2002
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Reviews for Symmetry and Integration Methods for Differential Equations

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 publi