Share

Extremal Finite Set Theory

2018-10-12 Mathematics
Download Extremal Finite Set Theory PDF Online Free

Author :
Release : 2018-10-12
Genre : Mathematics
Kind : eBook
Book Rating : 113/5 ( reviews)

GET EBOOK


Book Synopsis Extremal Finite Set Theory by : Daniel Gerbner

Download or read book Extremal Finite Set Theory written by Daniel Gerbner. This book was released on 2018-10-12. Available in PDF, EPUB and Kindle. Book excerpt: Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.

Extremal Problems for Finite Sets

2018-08-15 Mathematics
Download Extremal Problems for Finite Sets PDF Online Free

Author :
Release : 2018-08-15
Genre : Mathematics
Kind : eBook
Book Rating : 393/5 ( reviews)

GET EBOOK


Book Synopsis Extremal Problems for Finite Sets by : Peter Frankl

Download or read book Extremal Problems for Finite Sets written by Peter Frankl. This book was released on 2018-08-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Extremal Finite Set Theory

2018-10-12 Mathematics
Download Extremal Finite Set Theory PDF Online Free

Author :
Release : 2018-10-12
Genre : Mathematics
Kind : eBook
Book Rating : 121/5 ( reviews)

GET EBOOK


Book Synopsis Extremal Finite Set Theory by : Daniel Gerbner

Download or read book Extremal Finite Set Theory written by Daniel Gerbner. This book was released on 2018-10-12. Available in PDF, EPUB and Kindle. Book excerpt: Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.

Algebraic, Extremal and Metric Combinatorics 1986

1988-08-25 Mathematics
Download Algebraic, Extremal and Metric Combinatorics 1986 PDF Online Free

Author :
Release : 1988-08-25
Genre : Mathematics
Kind : eBook
Book Rating : 238/5 ( reviews)

GET EBOOK


Book Synopsis Algebraic, Extremal and Metric Combinatorics 1986 by : M. Deza

Download or read book Algebraic, Extremal and Metric Combinatorics 1986 written by M. Deza. This book was released on 1988-08-25. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a comprehensive overview of the present state of progress in three related areas of combinatorics. It comprises selected papers from a conference held at the University of Montreal. Topics covered in the articles include association schemes, extremal problems, combinatorial geometrics and matroids, and designs. All the papers contain new results and many are extensive surveys of particular areas of research. Particularly valuable will be Ivanov's paper on recent Soviet research in these areas. Consequently this volume will be of great attraction to all researchers in combinatorics and to research students requiring a rapid introduction to some of the open problems in the subject.

Extremal Problems for Finite Sets

1994 Mathematics
Download Extremal Problems for Finite Sets PDF Online Free

Author :
Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Extremal Problems for Finite Sets by : Peter Frankl

Download or read book Extremal Problems for Finite Sets written by Peter Frankl. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

You may also like...