Lectures on Discrete and Polyhedral Geometry
by Igor Pak
Publisher: UCLA 2008
Number of pages: 428
The subject of Discrete Geometry and Convex Polytopes has received much attention in recent decades, with the explosion of the work in the field. This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.
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by 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.
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.
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Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.
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