Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

  • Marco Pettini

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 33)

Table of contents

About this book

Introduction

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.

Keywords

Dynamics Geometry Hamiltonian Pettini dynamical systems topology

Authors and affiliations

  • Marco Pettini
    • 1
  1. 1.Osservatorio Astrofisico di ArcetriFirenzeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-49957-4
  • Copyright Information Springer-Verlag New York 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-30892-0
  • Online ISBN 978-0-387-49957-4
  • Series Print ISSN 0939-6047
  • About this book
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