Geometry and Dynamics of Integrable Systems (Paperback, 1st ed. 2016)

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Advanced Courses in Mathematics - CRM Barcelona
Release date:	November 2016
First published:	2016
Authors:	Alexey Bolsinov • Juan J.Morales Ruiz • Nguyen Tien Zung
Editors:	Eva Miranda • Vladimir Matveev
Dimensions:	240 x 168 x 11mm (L x W x T)
Format:	Paperback
Pages:	140
Edition:	1st ed. 2016
ISBN-13:	978-3-319-33502-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Promotions
LSN:	3-319-33502-2
Barcode:	9783319335025

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