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Can I read Geometry and Billiards Volume 30 on EtoBox?
Geometry and Billiards Volume 30 by Serge Tabachnikov; Pennsylvania State University. Mathematics Advanced Study Semesters is a nonfiction available to read on EtoBox.
What is Geometry and Billiards Volume 30 about?
Based on the file with md5=932319B3DC8DA1FB1009734E572C8E3D, the contents/outline/bookmark is added by using MasterPDF(free version). Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards. The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). Howeve
Who reads Geometry and Billiards Volume 30?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Serge Tabachnikov; Pennsylvania State University. Mathematics Advanced Study Semesters
- Publisher
- American Mathematical Society ; Mathematics Advanced Study Semesters
- Published
- 2005
- Language
- EN
- ISBN
- 9781470421410
- Category
- nonfiction
- Subjects
- Mathematics, Stem