Table of contents for Geometry and topology in Hamiltonian dynamics and statistical mechanics / Marco Pettini.
Bibliographic record and links to related information available from the Library of Congress catalog
Information from electronic data provided by the publisher. May be incomplete or contain other coding.
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: