ENGLISH

Polynomials in finite geometry

By Peter , Sziklai

Book information

Publisher
Productivity Press;Chapman and Hall/CRC
Year
2016
ISBN
9781498735964, 1498735967
Language
english
Format
PDF
Filesize
2 MB (1839865 bytes)
Series
Discrete Mathematics and Its Applications
Edition
1
Pages
304\262
Time added
2018-04-04 20:00:00

Description

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 are more than a hundred exercises with short solutions.

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