By Nikolai Chernov
This booklet covers probably the most intriguing yet such a lot tough subject matters within the smooth concept of dynamical platforms: chaotic billiards. In physics, billiard versions describe quite a few mechanical tactics, molecular dynamics, and optical phenomena. the speculation of chaotic billiards has made amazing development long ago thirty-five years, however it is still notoriously tough for the newbie, with major effects scattered in rarely obtainable study articles. this can be the 1st and up to now in simple terms booklet that covers all of the primary evidence approximately chaotic billiards in an entire and systematic demeanour. The e-book includes the entire beneficial definitions, complete proofs of the entire major theorems, and lots of examples and illustrations that aid the reader to appreciate the fabric. hundreds of thousands of rigorously designed workouts permit the reader not just to get to grips with chaotic billiards yet to grasp the subject.The booklet addresses graduate scholars and younger researchers in physics and arithmetic. must haves comprise average graduate classes in degree conception, chance, Riemannian geometry, topology, and intricate research. a few of this fabric is summarized within the appendices to the ebook.