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A Course in Topological Combinatorics 2012 Edition
Contributor(s): De Longueville, Mark (Author)

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ISBN: 1441979093     ISBN-13: 9781441979094
Publisher: Springer
OUR PRICE: $80.74  

Binding Type: Hardcover - See All Available Formats & Editions
Published: September 2012
Qty:

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Additional Information
BISAC Categories:
- Mathematics | Combinatorics
- Mathematics | Game Theory
- Mathematics | Geometry - Analytic
Dewey: 511.352
Series: Universitext
Physical Information: 0.63" H x 6.14" W x 9.21" L (1.17 lbs) 240 pages
Review Citations: Choice 04/01/2013
 
Descriptions, Reviews, Etc.
Publisher Description:

A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise.

The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely self-contained.

The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one- or two-semester course as well as a supplementary text for a topology or combinatorics class.

 
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