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Symmetry and Integration Methods for Differential Equations: 154 (Applied Mathematical Sciences, 154) - Softcover
Book 24 of 94: Applied Mathematical Sciences
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.
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Review
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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Symmetry and Integration Methods for Differential Equations (eng)
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Symmetry and Integration Methods for Differential Equations (Applied Mathematical Sciences)
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 subjectIncludes lots of nice exercise setsBluman was the first . Seller Inventory # 4173604
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Symmetry and Integration Methods for Differential Equations
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equations as evidenced by the number of research papers, books, and new symbolic manipulation software devoted to the subject. This is, no doubt, due to the inherent applicability of the methods to nonlinear differential equations. Symmetry methods for differential equations, originally developed by Sophus Lie in the latter half of the nineteenth century, are highly algorithmic and hence amenable to symbolic computation. These methods systematically unify and extend well-known ad hoc techniques to construct explicit solutions for differential equations, especially for nonlinear differential equations. Often ingenious tricks for solving particular differential equations arise transparently from the symmetry point of view, and thus it remains somewhat surprising that symmetry methods are not more widely known. Nowadays it is essential to learn the methods presented in this book to understand existing symbolic manipulation software for obtaining analytical results for differential equations. For ordinary differential equations (ODEs), these include reduction of order through group invariance or integrating factors. For partial differential equations (PDEs), these include the construction of special solutions such as similarity solutions or nonclassical solutions, finding conservation laws, equivalence mappings, and linearizations. 436 pp. Englisch. Seller Inventory # 9781441931474
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Symmetry and Integration Methods for Differential Equations
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Symmetry and Integration Methods for Differential Equations
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Symmetry and Integration Methods for Differential Equations
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 436 pp. Englisch. Seller Inventory # 9781441931474
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Symmetry and Integration Methods for Differential Equations
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equations as evidenced by the number of research papers, books, and new symbolic manipulation software devoted to the subject. This is, no doubt, due to the inherent applicability of the methods to nonlinear differential equations. Symmetry methods for differential equations, originally developed by Sophus Lie in the latter half of the nineteenth century, are highly algorithmic and hence amenable to symbolic computation. These methods systematically unify and extend well-known ad hoc techniques to construct explicit solutions for differential equations, especially for nonlinear differential equations. Often ingenious tricks for solving particular differential equations arise transparently from the symmetry point of view, and thus it remains somewhat surprising that symmetry methods are not more widely known. Nowadays it is essential to learn the methods presented in this book to understand existing symbolic manipulation software for obtaining analytical results for differential equations. For ordinary differential equations (ODEs), these include reduction of order through group invariance or integrating factors. For partial differential equations (PDEs), these include the construction of special solutions such as similarity solutions or nonclassical solutions, finding conservation laws, equivalence mappings, and linearizations. Seller Inventory # 9781441931474
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