Symmetry and Integration Methods for Differential Equations

Häftad, Engelska, 2010

Av George Bluman, Stephen Anco, George W. Bluman, Stephen C. Anco

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This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; These methods systematically unify and extend well-known ad hoc techniques to construct explicit solutions for differential equations, especially for nonlinear differential equations.

Produktinformation

Utgivningsdatum2010-12-06
Mått155 x 235 x 26 mm
Vikt658 g
FormatHäftad
SpråkEngelska
SerieApplied Mathematical Sciences
Antal sidor422
Upplaga2
FörlagSpringer-Verlag New York Inc.
ISBN9781441931474

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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 fur Analysis und ihre Anwendungen, Vol. 22 (1), 2003)