Книга Lectures on Discrete Geometry Jiri Matousek

Lectures on Discrete Geometry

Автор: Jiri Matousek
Език: Английски език
Корици: С твърди корици
Наличност: Външен склад в ограничено количество
Изпращаме след 11-15 дни
125.60 245.66 лв
Discrete geometry investigates combinatorial properties of configurations of geometric objects. To a...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2002
страници
486
EAN
9780387953731
ISBN
0387953736
Enbook ID
01384378
Теглоt
1940
Размери
155 x 235 x 35

Пълно описание

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, embed- dings of finite metric spaces into normed spaces. Ji ri 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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