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Geometry and topology in Hamiltonian dynamics and statistical mechanics/ Marco Pettini

By: Pettini, MarcoMaterial type: Text

TextSeries: (Interdisciplinary applied mathematics) ; v. 33Publication details: New York: Springer, 2007Description: xvi, 451 p. : ill. ; 25 cmISBN: 9780387308920Subject(s): Statistical mechanics | Hamiltonian systems | MathematicsDDC classification: 516

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	516 PET/ (Browse shelf(Opens below))	Available		P25332

Total holds: 0

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.

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