Mathematics-Dynamical Systems

Discrete integrable systems

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Title (user) : Discrete integrable systemsISBN : 3540214259,9783540214250DDC : 515.45LCC : QC20.7.I58 D57 2004DOI : 10.1007/b94662GoogleBook ID : KpTvAAAAMAAJOpenLibrary ID : OL3313881MEdition : 1Series : Lecture Notes in Physics 644Authors (use...
Description

Title (user) : Discrete integrable systems

ISBN : 3540214259,9783540214250

DDC : 515.45

LCC : QC20.7.I58 D57 2004

DOI : 10.1007/b94662

GoogleBook ID : KpTvAAAAMAAJ

OpenLibrary ID : OL3313881M

Edition : 1

Series : Lecture Notes in Physics 644

Authors (user) : M.D. Kruskal, B. Grammaticos, T. Tamizhmani (auth.), Basil Grammaticos, Thamizharasi Tamizhmani, Yvette Kosmann-Schwarzbach (eds.)

Authors (google) : Basil Grammaticos,Yvette Kosmann-Schwarzbach,Thamizharasi Tamizhmani

Publisher : Springer-Verlag Berlin Heidelberg

Language : English

Publication Date : 2004

File Format : pdf

Categories : Mathematics


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Description (user) :

This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.


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Description (google) :
This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.


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Table of contents :
Three Lessons on the Painlevé Property and the Painlevé Equations....Pages 1-15
Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems....Pages 17-55
Special Solutions of Discrete Integrable Systems....Pages 57-83
Discrete Differential Geometry. Integrability as Consistency....Pages 85-110
Discrete Lagrangian Models....Pages 111-184
Symmetries of Discrete Systems....Pages 185-243
Discrete Painlevé Equations: A Review....Pages 245-321
Special Solutions for Discrete Painlevé Equations....Pages 323-382
Ultradiscrete Systems (Cellular Automata)....Pages 383-424
Time in Science: Reversibility vs. Irreversibility....Pages 425-436

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