Polynomial Methods in Combinatorics is popular PDF and ePub book, written by Larry Guth in 2016-06-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Polynomial Methods in Combinatorics can be Read Online from any device for your convenience.
Polynomial Methods in Combinatorics Book PDF Summary
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 Erdős'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.
Detail Book of Polynomial Methods in Combinatorics PDF
- Author : Larry Guth
- Release : 10 June 2016
- Publisher : American Mathematical Soc.
- ISBN : 9781470428907
- Genre : Mathematics
- Total Page : 287 pages
- Language : English
- PDF File Size : 13,6 Mb
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