Symmetry and Integration Methods for Differential Equations
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Beschreibung
This book includes a comprehensive treatment of Lie groups of transformations and thorough discussions of basic symmetry methods for solving ordinary and partial differential equations. It is particulary suitable for physicists, applied mathematicians and engineers. In this second edition, the authors have added sections on contact transformations and Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order. References have also been updated.
Bluman was the first modern mathematician in the West to seriously investigate the applications of Lie Groups to differential equations and remains a well-recognized authority on the subject Includes lots of nice exercise sets
Autor*in
George Bluman
Themen in »Symmetry and Integration Methods for Differential Equations«
Potential algorithms calculus differential equation differential equations lie groups ordinary differential equation partial differential equation symmetry methods
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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)
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