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Billiards, surfaces, and geometry : a problem-centered approach / Diana Davis
- Format:
- Book
- Author/Creator:
- Davis, Diana, 1985- Author.
- Series:
- Student mathematical library ; v. 109.
- Student mathematical library, 2376-9173 ; volume 109
- Language:
- English
- Subjects (All):
- Flows (Differentiable dynamical systems).
- Tiling (Mathematics).
- Transformations (Mathematics).
- Paths and cycles (Graph theory).
- Trajectories (Mechanics).
- Geometry, Plane.
- Billiards--Mathematics.
- Billiards.
- Physical Description:
- 1 online resource
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2025]
- Summary:
- This richly illustrated text guides readers to discover the beautiful structure of mathematical billiards. Centered around expertly designed problem sets, the book incrementally builds up ideas through threads of related problems, fostering curiosity, exploration, and conversation. Working through the problems, the reader builds an understanding of foundational results, useful techniques, and key examples, all the way up to current research, while hands-on con.
- Contents:
- Introduction to billiards in many forms
- Trajectories, automorphisms, and continued fractions
- Periodicity everywhere
- Cylinders and automorphisms
- Further topics and tools.
- Notes:
- Includes bibliographical references and indexes.
- Description based on online resource; title from PDF title page (AMS, viewed January 15, 2026).
- Other Format:
- Print version: Davis, Diana, 1985- Billiards, surfaces, and geometry
- ISBN:
- 1470484498
- 9781470484491
- OCLC:
- 1564622608
- Access Restriction:
- Restricted for use by site license
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