Polynomial Methods in Combinatorics

ISBN-13: 9781470428907 / Angielski / Miękka / 2016 / 273 str.

Guth, Larry

Opis

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's distinct distances problem in the plane from the 1940s.