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.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
In this chapter, we shall be dealing with some of the earliest Ramsey-type theorems. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclidean Ramsey New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
In this chapter, we shall be dealing with some of the earliest Ramsey-type theorems. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclidean Ramsey New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 38
books:
See all 38 books this book cites
4
books
cite this book:
- Ramsey Theory (Wiley-Interscience Series in Discrete Mathematics) by Ronald L. Graham on page 58, Back Matter (1), and Back Matter (2)
- Graph Theory (Graduate Texts in Mathematics) by Reinhard Diestel on page 19, and Back Matter
- Topics in Algebra by I. N. Herstein in Back Matter
- Combinatorics: Topics, Techniques, Algorithms by Peter J. Cameron in Back Matter
- Introduction to Combinatorics by Martin J. Erickson in Back Matter
See all 38 books this book cites
- Ordered Sets (Advances in Mathematics) by Egbert Harzheim in Back Matter
- Stereology and Stochastic Geometry (Computational Imaging and Vision) by John E. Hilliard on page 381
- An Introduction to Commutative Algebra and Number Theory by Sukumar Das Adhikari in Front Matter
- Calculus for Scientists and Engineers: An Analytical Approach by K.D. Joshi in Front Matter
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