# Combinatorics of Finite Sets (Dover Books on Mathematics) epub download

### by Ian Anderson

Series: Dover Books on Mathematics. Paperback: 272 pages.

Series: Dover Books on Mathematics. Publisher: Dover Publications (November 2, 2011). But this book introduced me to an area of combinatorics which I knew very little about, namely extremal set problems and their solutions which fall under famous Theorems by famous mathematicians: Erdos-Ko-Rado, Sperner, and Kruskal-Katona to name a few. I found these topics fascinating and fun to think about, which is in large part due to the author's coherent style, organization, explanation, and expertise of the subject-matter.

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Combinatorics of Finite Sets. Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. An excellent text for a topics.

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Combinatorics of Finite Sets book. 0486422577 (ISBN13: 9780486422572).

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Dover Books on Mathematics. Author Hans J. Zassenhaus. Tales Of Hope and Time. Combinatorics of Finite Sets - Ian Anderson. 1 Introduction and Sperner’s theorem. A simple intersection result

Dover Books on Mathematics. A simple intersection result. of subsets of a finite set S is described in terms of intersection, union, or inclusion conditions. An amazing richness and variety of results will be discovered, developed, and extended in various directions. Although our main initial theme will be a study of a theorem of Spemer which could be said to be the inspiration of all that follows, we get into training by first of all asking what must surely be one of the simplest questions possible.

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*k*-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. "An excellent text for a topics course in discrete mathematics." —

*Bulletin of the American Mathematical Society.*

**ISBN13:** 978-0486422572

**ISBN:** 0486422577

**Author: ** Ian Anderson

**Category: ** Math and Science

**Subcategory: ** Mathematics

**Language: ** English

**Publisher: ** Dover Publications (November 2, 2011)

**Pages: ** 272 pages

**ePUB size:** 1609 kb

**FB2 size:** 1387 kb

**Rating: ** 4.7

**Votes: ** 192

**Other Formats: ** lrf rtf doc docx