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A Course in Topological Combinatorics

2013 Mathematics
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Release : 2013
Genre : Mathematics
Kind : eBook
Book Rating : 093/5 ( reviews)

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Book Synopsis A Course in Topological Combinatorics by : Mark de Longueville

Download or read book A Course in Topological Combinatorics written by Mark de Longueville. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook in topological combinatorics covers such topics as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. Includes many figures and exercises.

A Course in Topological Combinatorics

2012-09-01
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Release : 2012-09-01
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Kind : eBook
Book Rating : 117/5 ( reviews)

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Book Synopsis A Course in Topological Combinatorics by : Springer

Download or read book A Course in Topological Combinatorics written by Springer. This book was released on 2012-09-01. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Algebraic Topology

2008-01-08 Mathematics
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Release : 2008-01-08
Genre : Mathematics
Kind : eBook
Book Rating : 514/5 ( reviews)

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Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov

Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov. This book was released on 2008-01-08. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Using the Borsuk-Ulam Theorem

2008-01-12 Mathematics
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Release : 2008-01-12
Genre : Mathematics
Kind : eBook
Book Rating : 499/5 ( reviews)

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Book Synopsis Using the Borsuk-Ulam Theorem by : Jiri Matousek

Download or read book Using the Borsuk-Ulam Theorem written by Jiri Matousek. This book was released on 2008-01-12. Available in PDF, EPUB and Kindle. Book excerpt: To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas. 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. This book is the first textbook treatment of a significant part of these 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. No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained.

Intuitive Combinatorial Topology

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 046/5 ( reviews)

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Book Synopsis Intuitive Combinatorial Topology by : V.G. Boltyanskii

Download or read book Intuitive Combinatorial Topology written by V.G. Boltyanskii. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.

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