Geometry and Billiards
by Serge Tabachnikov
1991
Number of pages: 186
Description:
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods and approaches are tested and honed.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Rotations of Vectors Via Geometric Algebraby James A. Smith - viXra
Geometric Algebra (GA) promises to become a universal mathematical language. This document reviews the geometry of angles and circles, then treats rotations in plane geometry before showing how to formulate problems in GA terms, then solve them.
(9093 views)
Euclid's Elements of Geometryby J.L. Heiberg, R. Fitzpatrick
Euclid's Elements is the most famous mathematical work of classical antiquity, and also has the distinction of being the oldest continuously used mathematical textbook. The main subjects of the work are geometry, proportion, and number theory.
(14798 views)
Theory of Symmetry and Ornamentby Slavik V. Jablan - Matematicki Institut
This work is a comparative analysis of the theory of discrete and visually presentable continuous symmetry groups in the plane E2 or in E2\{O}: Symmetry Groups of Rosettes, Friezes and Ornaments, Similarity Symmetry Groups in E2, etc.
(14809 views)
A Course of Pure Geometry: Properties of the Conic Sectionsby E.H. Askwith - Cambridge University Press
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
(14554 views)