CURRENTLY SOLD OUT

Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry by Jiri Matousek (Paperback, 2003)

About this product

Product Information

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. At the same time, many substantial combinatorial results are covered, sometimes with some of the most important results, such as Kneser's conjecture, showing them from various points of view. The history of the presented material, references, related results, and more advanced methods are surveyed in separate subsections. The text is accompanied by numerous exercises, of varying difficulty. Many of the exercises actually outline additional results that did not fit in the main text. The book is richly illustrated, and it has a detailed index and an extensive bibliography. 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 Gunter 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.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540003625
eBay Product ID (ePID)
96810053

Product Key Features

Author
Jiri Matousek
Publication Name
Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry
Format
Paperback
Language
English
Subject
Computer Science, Mathematics
Publication Year
2003
Type
Textbook
Number of Pages
214 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
395g

Additional Product Features

Title_Author
Jiri Matousek
Series Title
Universitext
Country/Region of Manufacture
Germany

Best Selling in Adult Learning & University

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)
No ratings or reviews yet.
AU $101.98 New
---- Used
Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)
No ratings or reviews yet.
AU $53.04 New
AU $45.00 Used

Save on Adult Learning & University

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Save on Adult Learning & University

Netter Atlas of Human Anatomy: Classic Regional Approach
AU $113.94
Trending at AU $121.83
Michael Nehls The Indoctrinated Brain (Hardback) (US IMPORT)
AU $59.80
Trending at AU $63.46
Bill Perkins Die With Zero (Paperback)
AU $30.04
Trending at AU $32.49
Havard's Nursing Guide to Drugs
AU $74.99
Trending at AU $76.54
The Fourth Turning By Neil Howe, William Strauss
AU $25.99
Trending at AU $32.79
Steven Holzner Physics Essentials For Dummies (Paperback)
AU $25.30
Trending at AU $28.07

Shop by category

Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry by Jiri Matousek (Paperback, 2003)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Nehls The Indoctrinated Brain (Hardback) (US IMPORT)

Bill Perkins Die With Zero (Paperback)

Havard's Nursing Guide to Drugs

The Fourth Turning By Neil Howe, William Strauss

Steven Holzner Physics Essentials For Dummies (Paperback)

You may also like

Geometry Paperback Adult Learning & University Books

Non-Fiction Methodism Paperback Fiction & Books

Geometry Adult Learning & University Books

Geometry Adult Learning & University Books in English

Non-Fiction Methodism Hardcover Books

Paperback Calendars (Current)