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Geometry and Dynamics of Integrable Systems (Paperback) (Alexey Bolsinov & Juan J. Morales-ruiz & Nguyen

Geometry and Dynamics of Integrable Systems (Paperback) (Alexey Bolsinov & Juan J. Morales-ruiz & Nguyen - image 1 of 1

about this item

This book contains an elaborated version of the lecture notes given at the Advanced Course on Geometry andDynamics of Integrable Systems, held at the CRM in Barcelona.

Native to actualproblem-solving problems in mechanics, the topic of Integrable Systems iscurrently on the crossroad of different disciplines in pure and appliedmathematics, and it has important interactions with physics. The study of integrable systems has had special impactand also activelyuses methods of Differential Geometry. It isextremely important in SymplecticGeometry and Hamiltonian Dynamics, and has strong correlations with MathematicalPhysics, Lie Theory and Algebraic Geometry (including Mirror Symmetry). Therefore,these notes will attract experts from different backgrounds.

These notes concentrate on three different aspects of integrablesystems: obstructions to integrabilitycoming from Differential Galois theory, descriptionof singularities of integrable systems using their relation to bi-Hamiltonian systems, and generalization ofintegrable systems to the non-Hamiltonian settings. The three parts are writtenby top experts in these fields.

Genre: Mathematics
Series Title: Advanced Courses in Mathematics - Crm Barcelona
Format: Paperback
Publisher: Springer Verlag
Author: Alexey Bolsinov & Juan J. Morales-ruiz & Nguyen Tien Zung
Language: English
Street Date: November 26, 2016
TCIN: 51716228
UPC: 9783319335025
Item Number (DPCI): 248-33-1730

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