Interdisciplinary Applied Mathematics

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Authors: Pettini, Marco

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  • The subject of the book is very original and nothing similar has been written hitherto
  • Will be of interest to both mathematicians and physicists
  • Numerous illustrations throughout
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eBook $89.00
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  • ISBN 978-0-387-49957-4
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Hardcover $149.99
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  • ISBN 978-0-387-30892-0
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Softcover $119.99
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  • ISBN 978-1-4419-2164-2
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About this book

This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, 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 a welcome 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 skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques.

Dr. Marco Pettini is affiliated with the Istituto Nazionale di Astrofisica â€" Osservatorio Astrofisico di Arretri in Firenze, Italy.

From the foreword:

"It is in particular the quality of mind of the author and his deep physical, as well as mathematical insights, which make this book so special and inspiring. It is a "must" for those who want to venture into a new approach to old problems or want to use new tools for new problems." -- Professor E. G. D. Cohen, Rockefellar University, New York.

About the authors

The author is one of few pioneering individuals in this recently emerged important research area. His book will be a unique contribution to the field.

Reviews

From the reviews:

"The present book is an excellent synthesis of two basic topics in classical applied mathematics: Hamiltonian dynamics, with a special view towards the Hamiltonian chaos, and statistical mechanics, mainly for what concerns phase transition phenomena in systems described by realistic intermolecular or interatomic forces. The perfect conclusion appears in a Foreword written by E.G.D. Cohen: "this book makes a courageous attempt to clarify these fundamental phenomena in a new way.""

-Zentralblatt Math


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-0-387-49957-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-0-387-30892-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $119.99
price for USA in USD
  • ISBN 978-1-4419-2164-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
33
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-49957-4
DOI
10.1007/978-0-387-49957-4
Hardcover ISBN
978-0-387-30892-0
Softcover ISBN
978-1-4419-2164-2
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XVI, 456
Number of Illustrations
91 b/w illustrations
Topics