Combinatorial Geometry in the Plane

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Combinatorial Geometry in the Plane by Hugo Hadwiger, Hans Debrunner, Dover Publications
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Author: Hugo Hadwiger, Hans Debrunner ISBN: 9780486799933
Publisher: Dover Publications Publication: October 27, 2014
Imprint: Dover Publications Language: English
Author: Hugo Hadwiger, Hans Debrunner
ISBN: 9780486799933
Publisher: Dover Publications
Publication: October 27, 2014
Imprint: Dover Publications
Language: English

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. 

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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. 

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