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Polynomial Methods in Combinatorics
Larry Guth
€ 70.83
€ 64.95
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Description for Polynomial Methods in Combinatorics
Paperback. Series: University Lecture Series. Num Pages: 273 pages, illustrations. BIC Classification: PBD; PBM; PBP; PBV. Category: (G) General (US: Trade). Dimension: 180 x 356 x 16. Weight in Grams: 506.
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 ... Read more
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 ... Read more
Product Details
Publisher
American Mathematical Society
Format
Paperback
Publication date
2016
Series
University Lecture Series
Condition
New
Number of Pages
273
Place of Publication
Providence, United States
ISBN
9781470428907
SKU
V9781470428907
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Larry Guth
Larry Guth, Massachusetts Institute of Technology, Cambridge, MA, USA.
Reviews for Polynomial Methods in Combinatorics
Some of the greatest advances in geometric combinatorics and harmonic analysis in recent years have been accomplished using the polynomial method. Larry Guth gives a readable and timely exposition of this important topic, which is destined to influence a variety of critical developments in combinatorics, harmonic analysis and other areas for many years to come. -Alex Iosevich, University ... Read more