Polynomial Methods in Combinatorics (University Lecture Series) - Image 1

£47.50

American Mathematical Society Polynomial Methods in Combinatorics (University Lecture Series)

Name: Polynomial Methods in Combinatorics (University Lecture Series)
Brand: American Mathematical Society
Price: 47.5 GBP
Availability: InStock

Combinatorics & Graph Theory

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Description

This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erdos's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book.

Product Specifications

Brand: American Mathematical Society
Format: paperback
ASIN: 1470428903
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Combinatorics & Graph Theory
Domain: Amazon UK
Release Date: 30 July 2016
Listed Since: 18 May 2016

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American Mathematical Society Polynomial Methods in Combinatorics (University Lecture Series)

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