Extremal Problems for Finite Sets

preview-18
  • Extremal Problems for Finite Sets Book Detail

  • Author : Peter Frankl
  • Release Date : 2018-08-15
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 234
  • ISBN 13 : 1470440393
  • File Size : 92,92 MB

Extremal Problems for Finite Sets by Peter Frankl PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Extremal Problems for Finite Sets books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Extremal Problems for Finite Sets

Extremal Problems for Finite Sets

File Size : 53,53 MB
Total View : 1541 Views
DOWNLOAD

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 proo

Extremal Combinatorics

Extremal Combinatorics

File Size : 81,81 MB
Total View : 1089 Views
DOWNLOAD

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and info

Extremal Graph Theory

Extremal Graph Theory

File Size : 21,21 MB
Total View : 2672 Views
DOWNLOAD

The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science,