Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics (Hardcover, 2007 ed.)

This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The book contains numerous illustrations throughout and it will interest both mathematicians and physicists.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Interdisciplinary Applied Mathematics, 33
Release date:	July 2007
First published:	2007
Authors:	Marco Pettini
Dimensions:	235 x 155 x 32mm (L x W x T)
Format:	Hardcover
Pages:	456
Edition:	2007 ed.
ISBN-13:	978-0-387-30892-0
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
LSN:	0-387-30892-X
Barcode:	9780387308920

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