Aspects of Combinatorics and Combinatorial Number Theory
Author | : Sukumar Das Adhikari |
Publisher | : Narosa Publishing House |
Total Pages | : 0 |
Release | : 2002 |
ISBN-10 | : 0849309743 |
ISBN-13 | : 9780849309748 |
Rating | : 4/5 (748 Downloads) |
Download or read book Aspects of Combinatorics and Combinatorial Number Theory written by Sukumar Das Adhikari and published by Narosa Publishing House. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aspects of Combinatorics and Combinatorial Number Theory discusses various Ramsey-type theorems in combinatorics and combinatorial number theory. While many of the main results are classic, the book describes recent progress and considers unsolved questions in the field. For classical theorems, whenever possible, the author presents different proofs than those offered in Graham, Rothschild, and Spencer's book. For instance, Johnson's proof has been given for Erdoes-Szekeres Theorem, and in establishing that proof, the author makes reference to the other proofs. The first part of the book is primarily concerned with the history, context, and rudiments of the subject, and it requires only a basic maturity in mathematical thinking. The later parts and the remarks following each section describe many rather recent Ramsey-type results in combinatorics with application of topological ideas. These parts require some training in algebra and topology.