A Course in Topological Combinatorics

Nonfiction, Science & Nature, Mathematics, Combinatorics, Geometry
Cover of the book A Course in Topological Combinatorics by Mark de Longueville, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mark de Longueville ISBN: 9781441979100
Publisher: Springer New York Publication: September 18, 2012
Imprint: Springer Language: English
Author: Mark de Longueville
ISBN: 9781441979100
Publisher: Springer New York
Publication: September 18, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Topics in Numerical Partial Differential Equations and Scientific Computing by Mark de Longueville
Cover of the book Medico-Legal Issues in Infectious Diseases by Mark de Longueville
Cover of the book Cardiovascular Anesthesia by Mark de Longueville
Cover of the book Numerical Approximation of Exact Controls for Waves by Mark de Longueville
Cover of the book Modeling Nanoscale Imaging in Electron Microscopy by Mark de Longueville
Cover of the book Overconvergence in Complex Approximation by Mark de Longueville
Cover of the book Ethics for Biomedical Engineers by Mark de Longueville
Cover of the book Deep Space Propulsion by Mark de Longueville
Cover of the book Precision Instrumentation Amplifiers and Read-Out Integrated Circuits by Mark de Longueville
Cover of the book In the Blink of an Eye by Mark de Longueville
Cover of the book Phenology of Ecosystem Processes by Mark de Longueville
Cover of the book Tissue and Organ Regeneration in Adults by Mark de Longueville
Cover of the book On the Higher-Order Sheffer Orthogonal Polynomial Sequences by Mark de Longueville
Cover of the book TH17 Cells in Health and Disease by Mark de Longueville
Cover of the book Cosmic Dawn by Mark de Longueville
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy