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Lectures on Discrete Geometry Hardback - 2002 - 1st Edition
by Jiri Matousek
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From the publisher
First line
Linear subspaces. Let Rd denote the d-dimensional Euclidean space.
From the rear cover
Discrete geometry investigates combinatorial properties of configurations of geometric objects. To a working mathematician or computer scientist, it offers sophisticated results and techniques of great diversity and it is a foundation for fields such as computational geometry or combinatorial optimization. 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. Jiri Matousek is Professor of Computer Science at Charles University in Prague. His research has contributed to several of the considered areas and to their algorithmic applications. This is his third book.
Details
- Title Lectures on Discrete Geometry
- Author Jiri Matousek
- Binding Hardback
- Edition number 1st
- Edition 1
- Pages 486
- Volumes 1
- Language ENG
- Publisher Springer, china
- Publication date 2002-05-02
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9780387953731 / 0387953736
- Weight 1.93 lbs (0.88 kg)
- Dimensions 9.21 x 6.14 x 1.06 in (23.39 x 15.60 x 2.69 cm)
- Category Mathematics
- Library of Congress subjects Discrete geometry, Convex geometry
- Library of Congress Catalogue Number 2001054915
- Dewey Decimal Code 516
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Lectures on Discrete Geometry
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Lectures on Discrete Geometry (Graduate Texts in Mathematics, 212)
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Lectures on Discrete Geometry (Graduate Texts in Mathematics, 212)
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