Billiards, Surfaces, and Geometry by Diana Davis
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 construction activities offer an opportunity to explore phenomena in three dimensions. Beginning with the square billiard table, the opening chapters explore periodic billiard paths in depth, including connections to continued fractions and symbolic dynamics. From this foundation, the book goes on to explore billiards in triangles and other polygons, flows on translation surfaces, interval exchange transformations, outer billiards and tiling billiards, billiards on the ellipse, and many other topics. Throughout, we meet contemporary mathematicians involved in the topics covered, showcasing the research achievements of the vibrant billiards community. Billiards, Surfaces, and Geometry offers a ground level, problem-centered entry point to this exciting field. Basic knowledge of geometry and matrix transformations is assumed, though the main prerequisite is a spirit of curiosity and exploration.-
An Introduction to the Circle Method
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Matrix Models for Population, Disease, and Evolutionary Dynamics
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Analytic Number Theory for Beginners
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Codes and Curves
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Glimpses of Soliton Theory
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Differential Geometry
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Extremal Problems for Finite Sets
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Differential Geometry of Plane Curves
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A First Course in the Calculus of Variations
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A Conversational Introduction to Algebraic Number Theory
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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces
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Transformation Groups for Beginners
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The Game of Cops and Robbers on Graphs
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Invitation to Ergodic Theory
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The Joy of Factoring
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Lectures on Surfaces
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Plane Algebraic Curves
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Enumerative Geometry and String Theory
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The Game's Afoot!
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Mathematical Modelling
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Matrix Groups for Undergraduates
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Finite Fields, with Applications to Combinatorics
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Knots, Links and Their Invariants
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Hilbert's Tenth Problem
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Number Theory in the Spirit of Ramanujan
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Basic Set Theory
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Lectures on Generating Functions
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Frames for Undergraduates
Diana Davis, Phillips Exeter Academy, New Hampshire.
| SKU | Unavailable |
| ISBN 13 | 9781470483791 |
| ISBN 10 | 1470483793 |
| Title | Billiards, Surfaces, and Geometry |
| Author | Diana Davis |
| Series | Student Mathematical Library |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2026-01-31 |
| Number of pages | 241 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |