Combinatorial Geometry in the Plane

by ; ;
Edition: Reprint
Format: Paperback
Pub. Date: 2015-01-14
Publisher(s): Dover Publications
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Summary

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. 

Author Biography

Hugo Hadwiger (1908–81) was Professor of Mathematics at Bern University in Switzerland. He worked primarily in the fields of geometry, combinatorics, and cryptography.
Hans Debrunner also taught at Bern University.
Victor Klee (1925–2007) was Professor of Mathematics at the University of Washington in Seattle.

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