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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics / by Marco Pettini
(Interdisciplinary Applied Mathematics. ISSN:21969973 ; 33)

1st ed. 2007.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 2007
本文言語 英語
大きさ XVI, 456 p. 91 illus : online resource
著者標目 *Pettini, Marco author
SpringerLink (Online service)
件 名 LCSH:Dynamical systems
LCSH:Mathematical physics
LCSH:Quantum physics
LCSH:Mathematics
LCSH:System theory
FREE:Dynamical Systems
FREE:Mathematical Methods in Physics
FREE:Quantum Physics
FREE:Applications of Mathematics
FREE:Complex Systems
FREE:Theoretical, Mathematical and Computational Physics
一般注記 Background in Physics -- Geometrization of Hamiltonian Dynamics -- Integrability -- Geometry and Chaos -- Geometry of Chaos and Phase Transitions -- Topological Hypothesis on the Origin -- Geometry, Topology and Thermodynamics -- Phase Transitions and Topology: Necessity Theorems -- Phase Transitions and Topology: Exact Results -- Future Developments
This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques. Dr. Marco Pettini is affiliated with the Istituto Nazionale di Astrofisica â€" Osservatorio Astrofisico di Arretri in Firenze, Italy. From the foreword: "It is in particular the quality of mind of the author and his deep physical, as well as mathematical insights, which make this book so special and inspiring. It is a "must" for those who want to venture into a new approach to old problems or want to use new tools for new problems." -- Professor E. G. D. Cohen, Rockefellar University, New York
HTTP:URL=https://doi.org/10.1007/978-0-387-49957-4
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書誌ID 4000119955
ISBN 9780387499574

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