
Polynomial Methods in Combinatorics
Series: University Lecture Series;
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32 390 Ft
Availability
Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
Not in stock at Prospero.
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Product details:
- Publisher MP?AMM American Mathematical
- Date of Publication 30 May 2016
- Number of Volumes Paperback
- ISBN 9781470428907
- Binding Paperback
- No. of pages274 pages
- Size 254x178x19 mm
- Weight 505 g
- Language English 1050
Categories
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.
MoreLong 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.
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