The Principle of Least Action in Geometry and Dynamics (Lecture Notes in Mathematics) (Paperback)

by Karl F. Siburg (Author) "The Principle of Least Action states that, for sufficiently short times, trajectories of a Lagrangian system minimize the action amongst all paths in configuration space..." (more)
Key Phrases: length spectrum invariant, monotone twist map, foliation cycles, Aubry Mather, Main Principle, Nova Ser (more...)

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Product 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.

Product Details

• Paperback: 128 pages
• Publisher: Springer; 1 edition (July 12, 2004)
• Language: English
• ISBN-10: 3540219447
• ISBN-13: 978-3540219446
• Product Dimensions: 9.2 x 6.1 x 0.3 inches
• Shipping Weight: 7 ounces (View shipping rates and policies)
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• Amazon.com Sales Rank: #1,816,521 in Books (See Bestsellers in Books)