000 00402nam a2200145Ia 4500
999 _c170354
_d170354
020 _a9780387308920
040 _cCUS
082 _a516
_bPET/
100 _aPettini, Marco
245 0 _aGeometry and topology in Hamiltonian dynamics and statistical mechanics/
_cMarco Pettini
260 _aNew York:
_bSpringer,
_c2007.
300 _axvi, 451 p. :
_bill. ;
_c25 cm.
440 _a(Interdisciplinary applied mathematics),
_vv. 33
505 _aBackground 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.
650 _aStatistical mechanics
650 _aHamiltonian systems
650 _aMathematics
942 _cWB16