Combinatorial Geometry in the Plane

Geared toward advanced undergraduates familiar with analysis and college geometry, this concise book discusses theorems on topics restricted to the plane such as convexity, coverings, and graphs. In addition to helping students cultivate rigorous thought, the text encourages the development of mathematical intuition and clarifies the nature of mathematical research.
The two-part treatment begins with specific topics including integral distances, covering problems, point set geometry and convexity, simple paradoxes involving point sets, and pure combinatorics, among other subjects. The second part consists of an extensive section of short proofs concerning the earlier material.　
undergraduate mathematics students;convexity;graphing;mathematical research;point sets;discrete geometry;combinatorial mathematical properties;convex geometry;computational geometry;finite geometry;combinatorial optimization;discrete differential geometry;geometric graph theory;combinatorial topology;mathematical studies;mathematics reference;mathematics;integral distances;point set geometry and convexity;simple paradoxes involving point sets