Lectures on Discrete Geometry
Des 2013 · Graduate Texts in Mathematics Kitabu cha 212 · Springer Science & Business Media
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reportUkadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi
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This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections and thus it can serve as a collection of surveys in several narrower subfields. The main topics include: basics on convex sets, convex polytopes, and hyperplane arrangements; combinatorial complexity of geometric configurations; intersection patterns and transversals of convex sets; geometric Ramsey-type results; polyhedral combinatorics and high-dimensional convexity; and lastly, embeddings of finite metric spaces into normed spaces.
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