Table of contents for Geometry and topology in Hamiltonian dynamics and statistical mechanics / Marco Pettini.


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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.


Library of Congress subject headings for this publication:
Hamiltonian systems.
Statistical mechanics.