Integrable Systems in the Realm of Algebraic Geometry: 1638 (Lecture Notes in Mathematics, 1638) - Image 1

£40.75

Springer Integrable Systems in the Realm of Algebraic Geometry: 1638 (Lecture Notes in Mathematics, 1638)

Name: Integrable Systems in the Realm of Algebraic Geometry: 1638 (Lecture Notes in Mathematics, 1638)
Brand: Springer
Price: 40.75 GBP
Availability: InStock

Algebra

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Description

This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in detail and a few applications of integrable systems to algebraic geometry are worked out. In the second edition some of the concepts in Poisson geometry are clarified by introducting Poisson cohomology; the Mumford systems are constructed from the algebra of pseudo-differential operators, which clarifies their origin; a new explanation of the multi Hamiltonian structure of the Mumford systems is given by using the loop algebra of sl(2); and finally Goedesic flow on SO(4) is added to illustrate the linearizatin algorith and to give another application of integrable systems to algebraic geometry.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3540423370
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 31 July 2001
Listed Since: 12 February 2007

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Springer Integrable Systems in the Realm of Algebraic Geometry: 1638 (Lecture Notes in Mathematics, 1638)

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