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Lectures on discrete geometry, Matousek Jiri


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Автор: Matousek Jiri
Название:  Lectures on discrete geometry
Перевод названия: Лекции по дискретной геометрии
ISBN: 9780387953748
Издательство: Springer
Классификация:
ISBN-10: 0387953744
Обложка/Формат: Paperback
Страницы: 481
Вес: 1.54 кг.
Дата издания: 2002
Серия: Graduate Texts in Mathematics
Язык: English
Иллюстрации: 206 black & white illustrations, 206 black & white
Размер: 23.27 x 16.15 x 2.24
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: 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.
Дополнительное описание: Формат: 235x155
Илюстрации: 206
Круг читателей: Graduate mathematics students, mathematicians, undergraduatemathematics students
Ключевые слова: Discrete Geometry
Язык: eng
Оглавление: * Preface * Notation and Terminology * Convexity * Lattices and Minkowski's Theorem * Convex Independent Subsets * Incidence Problems * Convex Polytopes * Number of Faces in Arrangements * Lower Envelopes * More Theorems in Convexity * Geometric Selection Theorems * Transversals and Epsilon-Nets * Attempts to Count k-sets * Two Applications of High-Dimensional Polytopes * Volumes in High Dimension * Measure Concentration and Almost Spherical Sections * Embedding Finite Metric Spaces into Normed Spaces * What Was It About: An Informal Summary * Bibliography * Index




Discrete differential geometry preliminary entry 38

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.

Discrete and Computational Geometry

Автор: Devadoss Satyan L., O`Rourke Joseph
Название: Discrete and Computational Geometry
ISBN: 0691145539 ISBN-13(EAN): 9780691145532
Издательство: Wiley
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Цена: 11088.00 р.
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Описание: Offers a comprehensive introduction to discrete geometry. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as subjects like pseudotriangulations, curve reconstruction, and locked chains. It is suitable for sophomores in mathematics, computer science, engineering, or physics.

Using the Borsuk-Ulam Theorem / Lectures on Topological Methods in Combinatorics and Geometry

Автор: Matousek Jiri, BjГ¶rner A., Ziegler G.M.
Название: Using the Borsuk-Ulam Theorem / Lectures on Topological Methods in Combinatorics and Geometry
ISBN: 3540003622 ISBN-13(EAN): 9783540003625
Издательство: Springer
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Цена: 8384.00 р.
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Описание: A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists.This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. This text started with a one-semester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by GГјnter M. Ziegler in Berlin. The book is based on a thoroughly rewritten version prepared during a pre-doctoral course the author taught at the ETH Zurich in fall 2001.Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter.

Lectures on the Geometry of Numbers

Автор: Siegel
Название: Lectures on the Geometry of Numbers
ISBN: 3540506292 ISBN-13(EAN): 9783540506294
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski`s original one. This book offers an introduction to Minkowski`s work. It reveals the workings of a remarkable mind, such as Siegel`s.


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