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Methods for Constructing Exact Solutions of Partial Differential Equations: Mathematical and Analytical Techniques with Applications to Engineering - Couverture souple

 
9781441937698: Methods for Constructing Exact Solutions of Partial Differential Equations: Mathematical and Analytical Techniques with Applications to Engineering

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Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

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9780387250601: Methods For Constructing Exact Solutions Of Partial Differential Equations: Mathematical And Analytical Techniques With Applications To Engineering

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ISBN 10 :  0387250603 ISBN 13 :  9780387250601
Editeur : Springer-Verlag New York Inc., 2005
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Meleshko, Sergey V.
Edité par Springer, 2010
ISBN 10 : 1441937692 ISBN 13 : 9781441937698
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Sergey V. Meleshko
Edité par Springer US, 2010
ISBN 10 : 1441937692 ISBN 13 : 9781441937698
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Emphasis is on applications with&nbspnumerous worked examples to illustrate basic conceptsIntroduction to compatibilitiy analysis theoryMany methods for constructing exact solutions are&nbspcollected in one bookFirst presentation i. N° de réf. du vendeur 458485050

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Sergey V Meleshko
Edité par Springer Us, 2010
ISBN 10 : 1441937692 ISBN 13 : 9781441937698
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations. Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Each solution of a system of differential equations corresponds to a particular process. Therefore, methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations. The emphasis is on the methods of differential constraints, degenerate hodograph and group analysis. These methods have become a necessary part of applied mathematics and mathematical physics. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. The description of algorithms contains illustrative examples which are typically taken from continuum mechanics. Some sections of the book introduce new applications and extensions of these methods, such as integro-differential and functional differential equations, a new area of group analysis. It should also be noted that the method of differential constraints is not well known outside Russia; there are only a few books in English where the idea behind this method (without analysis) is briefly mentioned. This book is a result of an effort to introduce, at a fairly elementary level, many methods for constructing exact solutions collected in one book. It is based on the author's research and various courses and lectures given to undergraduate and graduate students, as well as professional audiences over the past twenty-five years. The book is assembled, in a coherent and comprehensive way, from results that are scattered across many different articles and books published over the last thirty years. The approach is analytical. Introductions to theories are followed by examples. The book is written for students, engineers and scientists with diverse backgrounds and interests. For a deeper coverage of a particular method or an application, the readers are referred to special-purpose books and/or scientific articles referenced in the book. The prerequisites for the study are standard courses in calculus, linear algebra, and ordinary and partial differential equations. N° de réf. du vendeur 9781441937698

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Sergey V. Meleshko
Edité par SPRINGER NATURE Dez 2010, 2010
ISBN 10 : 1441937692 ISBN 13 : 9781441937698
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations. Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Each solution of a system of differential equations corresponds to a particular process. Therefore, methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations. The emphasis is on the methods of differential constraints, degenerate hodograph and group analysis. These methods have become a necessary part of applied mathematics and mathematical physics. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. The description of algorithms contains illustrative examples which are typically taken from continuum mechanics. Some sections of the book introduce new applications and extensions of these methods, such as integro-differential and functional differential equations, a new area of group analysis. It should also be noted that the method of differential constraints is not well known outside Russia; there are only a few books in English where the idea behind this method (without analysis) is briefly mentioned. This book is a result of an effort to introduce, at a fairly elementary level, many methods for constructing exact solutions collected in one book. It is based on the author's research and various courses and lectures given to undergraduate and graduate students, as well as professional audiences over the past twenty-five years. The book is assembled, in a coherent and comprehensive way, from results that are scattered across many different articles and books published over the last thirty years. The approach is analytical. Introductions to theories are followed by examples. The book is written for students, engineers and scientists with diverse backgrounds and interests. For a deeper coverage of a particular method or an application, the readers are referred to special-purpose books and/or scientific articles referenced in the book. The prerequisites for the study are standard courses in calculus, linear algebra, and ordinary and partial differential equations. 352 pp. Englisch. N° de réf. du vendeur 9781441937698

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