Combinatorial Geometry Notes

Abstract

This book, 768 pages long, contains material for use in Combinatorial Geometry (MATH 4300/7300). As a bonus, a fairly extensive review of elementary Euclidean geometry is given, which can be used in a variety of courses, including contest training. There are 945 references and 371 exercises, most with solutions, and 146 figures. Topics include convex polytopes, geometric graph and Ramsey theory, dissections, lattice theory, colouring finite projective planes, and famous geometric puzzles. Included are reviews of graph theory, number theory, and vector geometry. This book is written in LaTeX, with many diagrams done using Tikz. The .pdf file is cross-linked for ease of use.