Coverart for item
The Resource Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini

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

Label
Geometry and topology in Hamiltonian dynamics and statistical mechanics
Title
Geometry and topology in Hamiltonian dynamics and statistical mechanics
Statement of responsibility
Marco Pettini
Creator
Subject
Language
eng
Summary
"This book explores the foundations of Hamiltonian dynamical systems and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide an overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author guides the reader, whether mathematician or physicist, through the background needed to understand and use these techniques."--Jacket
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Pettini, Marco
Dewey number
515.39
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA614.83
LC item number
.P478 2007eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Interdisciplinary applied mathematics
Series volume
v. 33
http://library.link/vocab/subjectName
  • Hamiltonian systems
  • Statistical mechanics
  • Systèmes hamiltoniens
  • Mécanique statistique
  • MATHEMATICS
  • Statistical mechanics
  • Hamiltonian systems
  • Hamiltonian systems
  • Statistical mechanics
Label
Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
184908856
Dimensions
unknown
Extent
1 online resource (xvi, 451 pages)
Form of item
online
Isbn
9780387308920
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-49957-4
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-30892-0
Specific material designation
remote
System control number
(OCoLC)184908856
Label
Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
184908856
Dimensions
unknown
Extent
1 online resource (xvi, 451 pages)
Form of item
online
Isbn
9780387308920
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-49957-4
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-30892-0
Specific material designation
remote
System control number
(OCoLC)184908856

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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