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Geometry and topology in Hamiltonian dynamics and statistical mechanics /

Bibliographic Details
Main Author: Pettini, Marco
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer, [2007]
Series:Interdisciplinary applied mathematics ; v. 33.
Subjects:
Hamiltonian systems.
Statistical mechanics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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 A: Elements of geometry and topology of differentiable manifolds
  • Appendix B: Elements of Riemannian geometry
  • Appendix C: Summary of elementary Morse theory
  • References
  • Author index
  • Subject index.