Enter your mobile number below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
Getting the download link through email is temporarily not available. Please check back later.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your mobile phone number.

Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext) 1st ed. 2003 Edition

4.0 out of 5 stars 1 customer review
ISBN-13: 978-3540003625
ISBN-10: 3540003622
Why is ISBN important?
ISBN
This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work.
Scan an ISBN with your phone
Use the Amazon App to scan ISBNs and compare prices.
Have one to sell? Sell on Amazon
Buy used On clicking this link, a new layer will be open
$42.65 On clicking this link, a new layer will be open
Buy new On clicking this link, a new layer will be open
$50.46 On clicking this link, a new layer will be open
More Buying Choices
31 New from $42.66 21 Used from $42.65
Free Two-Day Shipping for College Students with Prime Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student


Windows10ForDummiesVideo
Windows 10 For Dummies Video Training
Get up to speed with Windows 10 with this video training course from For Dummies. Learn more.
click to open popover

Frequently Bought Together

  • Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext)
  • +
  • Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)
Total price: $80.86
Buy the selected items together

Editorial Reviews

Review

From the reviews:

[...]Matousek's lively little textbook now shows that Lovász' insight as well as beautiful work of many others (such as Vreci´ca and Zivaljevi´c, and Sarkaria) have opened up an exciting area of matheamtics that connects combinatorics, graph theory, algebraic topology and discrete geometry. What seemed like an ingenious trick in 1978 now presents itself as an instance of the "test set paradigm": to construct configuration spaces for combinatorial problems such that coloring, incidence or transversal problems may be translated into the (non-)existence of suitable equivariant maps.

The vivid account of this area and its ramifications by Matousek is an exciting, a coherent account of this area of topological combinatorics. It features a collection of mathematical gems written with a broad view of the subject and still with loving care for details. Recommended reading! [..]

Günter M. Ziegler (Berlin)

Zbl. MATH Volume 1060 Productions-no.: 05001

...."The book contains more than 100 exercises, many of them being compressed outlines of interesting results. As such, most of them are both challenging and interesting.

I think this book will be of interest mostly for mathematicians and graduate students. It can certainly be used in a graduate course or seminar. It has an extensive list of references and it covers many interesting and not-so-easy results, with proofs that are sometimes easier than in the original papers. I wouldn't say that this book is an "easy read", but it is very well written, very interesting, and very informative".

Mihaela Poplicher, MAA Online

"This book is intended to make elementary topological methods more accessible to those who work in other areas of mathematics. … This excellent book is useful for specialists in discrete geometry, combinatorics and computer science who want to learn how algebraic topology can be used in their discipline. It is also very suitable as a textbook for such a course." (Ferenc Fodor, Acta Scientiarum Mathematicarum, Vol. 71, 2005)

"The book is addressed to mathematicians, scientists, and engineers working on signal and image processing and medical imaging. It is written by experts and for experts, but each chapter has an introductory part written for non-specialists, giving them the possibility to find what the chapter is dealing with. The book contains important contributions to the areas mentioned in the title: sampling, wavelets and tomography." (S. Cobzas, Studia universitatis Babes-Bolyai Mathematica, Vol. XLIX (2), 2004)

"This book … is based on a couple of graduate courses in ‘topological combinatorics’ taught by the author … . The book contains more than 100 exercises, many of them being compressed outlines of interesting results. As such, most of them are both challenging and interesting. … It has an extensive list of references and it covers many interesting and no-so-easy results, with proofs that are sometimes easier than in the original papers. … it is very well written, very interesting, and very informative." (Mihaela Poplicher, MAA Online, January, 2005)

"This excellent textbook is based on lecture notes by the author on applications of some topological methods in combinatorics and geometry. … All chapters include exercises and historical and bibliographical notes. Many hints for further reading are given. … topologists will find here some nice applications for their lectures." (Zdzislaw Dzedzej, Mathematical Reviews, 2004 i)

"Matoušek’s lively little textbook now shows that Lovász’ insight as well as beautiful work of many others … have opened up an exciting area of mathematics that connects combinatorics, graph theory, algebraic topology and discrete geometry. … The vivid account of this area and its ramifications by Matoušek is an exciting, a coherent account of this area of topological combinatorics. It features a collection of mathematical gems written with a broad view of the subject and still with loving care for details. Recommended reading!" (Günter M. Ziegler, Zentralblatt MATH, Vol. 1016, 2003)

"This textbook explains elementary but powerful topological methods based on the Borsuk-Ulam theorem and its generalizations. It covers many substantial results, sometimes with proofs simpler than those in the original papers." (L'ENSEIGNEMENT MATHEMATIQUE, Vol. 49 (1-2), 2003)

From the Back Cover

"The "Kneser conjecture" -- posed by Martin Kneser in 1955 in the Jahresbericht der DMV -- is an innocent-looking problem about partitioning the k-subsets of an n-set into intersecting subfamilies. Its striking solution by L. Lovász featured an unexpected use of the Borsuk-Ulam theorem, that is, of a genuinely topological result about continuous antipodal maps of spheres.

Matousek's lively little textbook now shows that Lovász' insight as well as beautiful work of many others (such as Vrecica and Zivaljevic, and Sarkaria) have opened up an exciting area of mathematics that connects combinatorics, graph theory, algebraic topology and discrete geometry. What seemed like an ingenious trick in 1978 now presents itself as an instance of the "test set paradigm": to construct configuration spaces for combinatorial problems such that coloring, incidence or transversal problems may be translated into the (non-)existence of suitable equivariant maps.

The vivid account of this area and its ramifications by Matousek is an exciting, a coherent account of this area of topological combinatorics. It features a collection of mathematical gems written with a broad view of the subject and still with loving care for details. Recommended reading! […]"

Günter M.Ziegler (Berlin)
Zbl. MATH Volume 1060 Productions-no.: 05001

NO_CONTENT_IN_FEATURE
New York Times best sellers
Browse the New York Times best sellers in popular categories like Fiction, Nonfiction, Picture Books and more. See more

Product Details

  • Series: Universitext
  • Paperback: 214 pages
  • Publisher: Springer; 1st ed. 2003 edition (October 10, 2008)
  • Language: English
  • ISBN-10: 3540003622
  • ISBN-13: 978-3540003625
  • Product Dimensions: 6.1 x 0.5 x 9.2 inches
  • Shipping Weight: 11.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,052,427 in Books (See Top 100 in Books)

Customer Reviews

5 star
0%
4 star
100%
3 star
0%
2 star
0%
1 star
0%
See the customer review
Share your thoughts with other customers

Top Customer Reviews

By Jerome Jean-charles on October 16, 2007
Format: Paperback
While allowing you to learn new concepts and definitions in a classical sense , this book shows what mathematics is about. It makes connections and gives you insight.
If you think that mathematics is made out of connections and is an "Art of variations" you will be rewarded. Those interested in the "frontier" between discrete and continuous will be interested too.
Definitely pedagogical and moreover intellectually honest.
Comment 5 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse

Set up an Amazon Giveaway

Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext)
Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway
This item: Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext)

Pages with Related Products. See and discover other items: discrete mathematics