Download or read book Polynomials in Finite Geometry written by Peter Sziklai and published by Chapman & Hall/CRC. This book was released on 2016-09-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topic is what the title indicates: to collect, survey and categorize the results and theories achieved in the last 30 years with "polynomial methods", mostly (but not exclusively) in finite geometries. It contains techniques based on the careful examination of coefficients of polynomials, resultants, algebraic curves, subspaces generated by certain polynomials, random-like behaviour, etc. Our polynomials are usually defined over a finite field, and they express some combinatorial or geometric property of a combinatorial or geometric structure. We go through several types of applications of the methods. There will be more than a hundred exercises with short solutions.