Combination of Finite Sets (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: Ian Anderson

• Language: English

• Binding: Paperback

• Format: Import

• ISBN: 9780486422572

• Pages: 272

• Cover: Purple

• Dimensions: 8.4 x 5.4 x 0.6 inches

About The Book

Combinatorial Methods by Ian Anderson provides a coherent and comprehensive treatment of the basic methods and results in the combinatorial study of finite set systems. The book delves into important theorems and extensions in combinatorics, such as the Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. It also explores connections with Dilworth's theorem, the marriage problem, and probability, offering a well-rounded perspective on the subject.

Each chapter includes a series of thought-provoking exercises that help reinforce the material, and outline solutions are provided at the end, ensuring that students can test their understanding and solidify their learning. The book is praised for its clarity and depth, making it an excellent resource for a topics course in discrete mathematics, as noted by the Bulletin of the American Mathematical Society.

This text is ideal for students and professionals interested in combinatorial mathematics, providing a structured yet accessible introduction to some of the key concepts in the field.