Lecture Notes in Mathematics

The Principle of Least Action in Geometry and Dynamics

Authors: Siburg, Karl Friedrich

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About this book

New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $34.99
price for USA in USD (gross)
  • ISBN 978-3-540-40985-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-3-540-21944-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Principle of Least Action in Geometry and Dynamics
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1844
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-40985-4
DOI
10.1007/978-3-540-40985-4
Softcover ISBN
978-3-540-21944-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 132
Topics