Geometry and topology in Hamiltonian dynamics and statistical mechanics/
Marco Pettini
- New York: Springer, 2007.
- xvi, 451 p. : ill. ; 25 cm.
- (Interdisciplinary applied mathematics), v. 33 .
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.
9780387308920
Statistical mechanics Hamiltonian systems Mathematics