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Item Details
Title: SYMMETRIES AND INTEGRABILITY OF DIFFERENCE EQUATIONS
By: Decio Levi (Editor), Peter Olver (Editor), Zora Thomova (Editor)
Format: Electronic book text

List price: £102.00


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ISBN 10: 0511997132
ISBN 13: 9780511997136
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 5 July, 2011
Series: London Mathematical Society Lecture Note Series 381
Description: A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike.
Synopsis: Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference.
Illustrations: 40 b/w illus.
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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