Lectures on Discrete Geometry: 212 (Graduate Texts in Mathematics, 212) - Hardcover

Matoušek, Ji?í

 
9780387953731: Lectures on Discrete Geometry: 212 (Graduate Texts in Mathematics, 212)
Hardcover
ISBN 10: 0387953736 ISBN 13: 9780387953731
Verlag: Springer, 2002

Inhaltsangabe

The main topics in this introductory text to discrete geometry 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, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.

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Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
0387953736
ISBN 13 
9780387953731
Einband
Tapa dura
Anzahl der Seiten
504
Kontakt zum Hersteller
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Weitere beliebte Ausgaben desselben Titels

9780387953748: Lectures on Discrete Geometry: 212 (Graduate Texts in Mathematics, 212)

Vorgestellte Ausgabe

ISBN 10:  0387953744 ISBN 13:  9780387953748
Verlag: Springer, 2007
Softcover