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发表于 2022-5-23 22:20:25 |显示全部楼层
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题名: Polynomial Methods and Incidence Theory
作者: Adam Sheffer, Bernard M. Baruch College
出版社: Cambridge University Press
出版日期: March 2022
ISBN: 9781108959988
附属页: 齐全
书签:
格式: 清晰PDF
内容简介: The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdős'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.
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发表于 5 天前 |显示全部楼层
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