Symmetry and Integration Methods for Differential Equations - Couverture rigide

Bluman, George; Anco, Stephen

Couverture rigide

ISBN 10 : 0387986545 ISBN 13 : 9780387986548

Editeur : Springer-Verlag New York Inc., 2002

Synopsis

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.

A propos du livre

Revue de presse

"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

Présentation de l'éditeur

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 0387986545
• ISBN 13: 9780387986548
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 432
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne