Chaotic Billiards is popular PDF and ePub book, written by Nikolai Chernov in 2023-09-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Chaotic Billiards can be Read Online from any device for your convenience.
Chaotic Billiards Book PDF Summary
This book covers one of the most exciting but most difficult topics in the modern theory of dynamical systems: chaotic billiards. In physics, billiard models describe various mechanical processes, molecular dynamics, and optical phenomena. The theory of chaotic billiards has made remarkable progress in the past thirty-five years, but it remains notoriously difficult for the beginner, with main results scattered in hardly accessible research articles. This is the first and so far only book that covers all the fundamental facts about chaotic billiards in a complete and systematic manner. The book contains all the necessary definitions, full proofs of all the main theorems, and many examples and illustrations that help the reader to understand the material. Hundreds of carefully designed exercises allow the reader not only to become familiar with chaotic billiards but to master the subject. The book addresses graduate students and young researchers in physics and mathematics. Prerequisites include standard graduate courses in measure theory, probability, Riemannian geometry, topology, and complex analysis. Some of this material is summarized in the appendices to the book.
Detail Book of Chaotic Billiards PDF
- Author : Nikolai Chernov
- Release : 18 September 2023
- Publisher : American Mathematical Society
- ISBN : 9781470474423
- Genre : Mathematics
- Total Page : 330 pages
- Language : English
- PDF File Size : 14,6 Mb
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