Polynomial methods and incidence theory /

Polynomial methods and incidence theory /

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Bibliographic Details
Author / Creator:Sheffer, Adam (Professor of mathematics), author.
Imprint:Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.
©2022
Description:xvi, 245 pages : illustrations ; 24 cm.
Language:English
Series:Cambridge studies in advanced mathematics ; 197
Cambridge studies in advanced mathematics ; 197.
Subject:
Combinatorial geometry.
Polynomials.
Incidence algebras.
Partitions (Mathematics)
Finite fields (Algebra)
Discrete geometry.
Geometry, Algebraic.
Combinatorial geometry.
Discrete geometry.
Finite fields (Algebra)
Geometry, Algebraic.
Incidence algebras.
Partitions (Mathematics)
Polynomials.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12794623
Hidden Bibliographic Details
ISBN:9781108832496
1108832490
9781108959988
9781108963015
Notes:Includes bibliographical references and index.
Summary:"The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdös's distinct distances problem, the joints problem, as well as others, thanks to the introduction of new polynomial methods. There has also been significant progress on a variety of problems from additive combinatorics, discrete geometry, and more. This book gives a detailed yet accessible introduction to these new polynomial methods and their applications, with a focus on incidence theory. Based on the author's own teaching experience, the text requires a minimal background, allowing graduate and advanced undergraduate students to get to grips with an active and exciting research front. The techniques are presented gradually and in detail, with many examples, warm-up proofs, and exercises included. An appendix provides a quick reminder of basic results and ideas"--
Other form:Online version: Sheffer, Adam (Professor of mathematics) Polynomial methods and incidence theory Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022 9781108959988

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