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Algebraic Integrability, Painlevé Geometry and Lie Algebras

Name: Algebraic Integrability, Painlevé Geometry and Lie Algebras
Brand: Springer, Berlin
SKU: 01651413
Price: 150.17 EUR
Availability: InStock
Author: Mark Adler
ISBN: 9783642061288

Mark Adler

Pierre van Moerbeke

Pol Vanhaecke

Language

English

Book Paperback

Libristo code: 01651413

Publishers Springer, Berlin, October 2010

This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate stud... Full description

Libristo code: 01651413

367 b

150.17 €

293.71 лв

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This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.