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Condition: New. A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike. Editor(s): Levi, Decio; Olver, Peter; Thomova, Zora; Winternitz, Pavel. Series: London Mathematical Society Lecture Note Series. Num Pages: 360 pages, 40 b/w illus. BIC Classification: PBKJ; PBW; PH; PHU. Category: (P) Professional & Vocational. Dimension: 229 x 159 x 18. Weight in Grams: 508. . 2011. Revised ed. paperback. . . . .
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Condition: New. A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike. Editor(s): Levi, Decio; Olver, Peter; Thomova, Zora; Winternitz, Pavel. Series: London Mathematical Society Lecture Note Series. Num Pages: 360 pages, 40 b/w illus. BIC Classification: PBKJ; PBW; PH; PHU. Category: (P) Professional & Vocational. Dimension: 229 x 159 x 18. Weight in Grams: 508. . 2011. Revised ed. paperback. . . . . Books ship from the US and Ireland.
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Hardback. Condition: New. This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries.The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3.This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.
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Condition: Gut. Zustand: Gut | Seiten: 476 | Sprache: Englisch | Produktart: Bücher | The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applications", held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems "equations with the Painleve property". The search for such equations was a very topical mathematical problem in the 19th century. Early work concentrated on first order differential equations. One of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations. In particular these methods made possible a complete analysis of the equation ;; = f(y',y,x), where f is a rational function of y' and y, with coefficients that are analytic in x. The fundamental result due to Painleve (Acta Math.
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ISBN 10: 0821843540 ISBN 13: 9780821843543
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ISBN 10: 0821843540 ISBN 13: 9780821843543
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Published by Cambridge University Press, 2011
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Taschenbuch. Condition: Neu. Symmetries and Integrability of Difference Equations | Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016 | Decio Levi (u. a.) | Taschenbuch | x | Englisch | 2018 | Springer | EAN 9783319859675 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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