Aspects of Combinatorics and Combinatorial Number Theory
Seiten
2002
Crc Press Inc (Verlag)
978-0-8493-0974-8 (ISBN)
Crc Press Inc (Verlag)
978-0-8493-0974-8 (ISBN)
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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.
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.
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.
Classical Ramsey-Type Theorems. Van der Waerden Revisited. Recent Progress in the Direction of Classic Theorems. Euclidean Ramsey Theory. Kneser's Conjecture and Related Topics
| Verlagsort | Bosa Roca |
|---|---|
| Sprache | englisch |
| Maße | 216 x 279 mm |
| Gewicht | 517 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-8493-0974-3 / 0849309743 |
| ISBN-13 | 978-0-8493-0974-8 / 9780849309748 |
| Zustand | Neuware |
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