Symmetries and Integrability of Difference Equations - Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016 (Hardcover, 1st ed. 2017)

This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	CRM Series in Mathematical Physics
Release date:	July 2017
First published:	2017
Editors:	Decio Levi • Raphael Rebelo • Pavel Winternitz
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	435
Edition:	1st ed. 2017
ISBN-13:	978-3-319-56665-8
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-319-56665-2
Barcode:	9783319566658

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