Extremal Problems for Finite Sets is popular PDF and ePub book, written by Peter Frankl in 2018-08-15, it is a fantastic choice for those who relish reading online the Extremal problems genre. Let's immerse ourselves in this engaging Extremal problems book by exploring the summary and details provided below. Remember, Extremal Problems for Finite Sets can be Read Online from any device for your convenience.
Extremal Problems for Finite Sets Book PDF Summary
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.
Detail Book of Extremal Problems for Finite Sets PDF
- Author : Peter Frankl
- Release : 15 August 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470440398
- Genre : Extremal problems
- Total Page : 234 pages
- Language : English
- PDF File Size : 8,9 Mb
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