The Principle of Least Action in Geometry and Dynamics

Released on by Karl Friedrich Siburg
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  • The Principle of Least Action in Geometry and Dynamics Book Detail

  • Author : Karl Friedrich Siburg
  • Release Date : 2004-04-30
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 135
  • ISBN 13 : 3540409858
  • File Size : 56,56 MB
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The Principle of Least Action in Geometry and Dynamics by Karl Friedrich Siburg PDF Summary

Book Description: 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.

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CHOICE Recommended Title, June 2019 Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role

The Principle of Least Action

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The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its