Combinatorial Geometry in the Plane

Combinatorial Geometry in the Plane

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Jan 14, 2015 · الإنجليزية · غلاف ورقي (128 صفحات)
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تنسيق غلاف ورقي
صفحات 128
لغة الإنجليزية
منشور Jan 14, 2015
الناشر Dover Publications
رقم ISBN-10 0486789969
رقم ISBN-13 9780486789965

الوصف

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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