Product details:
| ISBN13: | 9781470428907 |
| ISBN10: | 1470428903 |
| Binding: | Paperback |
| No. of pages: | 274 pages |
| Size: | 254x178x19 mm |
| Weight: | 505 g |
| Language: | English |
| 1050 |
Category:
Polynomial Methods in Combinatorics
Series:
University Lecture Series;
Publisher: MP?AMM American Mathematical
Date of Publication: 30 May 2016
Number of Volumes: Paperback
Normal price:
Publisher's listprice:
GBP 64.00
GBP 64.00
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29 151 (27 763 HUF + 5% VAT )
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Short description:
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. The author also discusses in detail various problems in incidence geometry associated to Paul Erdos&&&39;s distinct distances problem in the plane from the 1940s.
Long 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&&&39;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&&&39;s understanding of the main themes of the book.
