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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Marco Pettini
Publisher: 
Springer
Publication Date: 
2007
Number of Pages: 
456
Format: 
Hardcover
Series: 
Interdisciplinary Applied Mathematics
Price: 
69.95
ISBN: 
978-0-387-30892-0
Category: 
Monograph
We do not plan to review this book.

Foreword.- Preface.- Introduction.- Background in Physics.- Geometrization of Hamiltonian Dynamics.- Integrability.- Geometry and chaos.- Geometry of chaos and phase transitions.- Topological Hypothesis on the origin of phase transitions.- Geometry, topology and thermodynamics.- Phase transitions and topology: necessity theorems.- Phase transitions and topology: exact results.- Future developments.- Appendix 1: Elements of geometry and topology of differentiable manifolds.- Appendix 2: Elements of Riemannian geometry.- Appendix 3: Summary of elementary Morse theory.- References.

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