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
A Modern Course on Curves and Surfacesby Richard S. Palais - virtualmathmuseum.org
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; ODE; and more.
(13810 views)
The Modern Geometry of the Triangleby William Gallatly - F. Hodgson
The author expresses his expectation, that these novel and interesting theorems some British, but the greater part derived from French and German sources will widen the outlook of our mathematical instructors and lend new vigour to their teaching.
(6590 views)
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.
(7187 views)
Euclid's Elementsby D.E.Joyce
Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.
(17015 views)