The Resource Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini
Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini
Resource Information
The item Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xvi, 451 pages)
 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
 Isbn
 9780387499574
 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
 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
 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
 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
 9780387499574
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387499574
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387308920
 Specific material designation
 remote
 System control number
 (OCoLC)184908856
 Label
 Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini
 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
 9780387499574
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387499574
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387308920
 Specific material designation
 remote
 System control number
 (OCoLC)184908856
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/GeometryandtopologyinHamiltoniandynamicsand/YMi69bIfC0M/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/GeometryandtopologyinHamiltoniandynamicsand/YMi69bIfC0M/">Geometry and topology in Hamiltonian dynamics and statistical mechanics, Marco Pettini</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>