《Polynomial Methods in Combinatorics》是Amer Mathematical Society出版的圖書，作者是Larry Guth
基本介紹
- ISBN：9781470428907
- 作者：Larry Guth
- 出版社：Amer Mathematical Society
- 出版時間：2016年7月20日
- 頁數：273
- 定價：USD 48.00
- 裝幀：Paperback
內容簡介
This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mat hematics. 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 probl...(展開全部) This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mat hematics. 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.
