Excursions into Combinatorial Geometry pdf epub mobi txt 電子書 下載2025
- 計算機科學
- 組閤幾何
- 數學
- Combinatorial_Geometry
- Combinatorial Geometry
- Discrete Geometry
- Geometric Combinatorics
- Incidence Geometry
- Convex Geometry
- Polyhedral Combinatorics
- Arrangements of Hyperplanes
- Graph Theory
- Mathematics
- Geometry
具體描述
The book deals with the combinatorial geometry of convex bodies in finite-dimensional spaces. A general introduction to geometric convexity is followed by the investigation of d-convexity and H-convexity, and by various applications. Recent research is discussed, for example the three (generally unsolved) problems from the combinatorial geometry of convex bodies: the Szoekefalvi-Nagy problem, the Borsuk problem, the Hadwiger covering problem. These and related questions are then applied to a new class of convex bodies which is a natural generalization of the class of zonoids: the class of belt bodies. Finally open research problems are discussed.
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