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Combinatorics and Partially Ordered Sets: Dimension Theory
・ISBN 978-0-8018-6977-8 paper US$ 42.00
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| 著者・編者 | Trotter, William T., |
|---|---|
| シリーズ | (Johns Hopkins Studies in the Mathematical Sciences) |
| 出版社 | (Johns Hopkins University Press, US) |
| 出版年月 | 2002 |
| ページ数 | 328 pp. |
| 言語 | ENG |
| ニュース番号 | <A00-19425> |
解説
Primarily intended for research mathematicians and computer scientists, Combinatorics and Partially Ordered Sets: Dimension Theory also serves as a useful text for advanced students in either field. William Trotter concentrates on combinatorial topics for finite partially ordered sets, and with dimension theory serving as a unifying theme, research on partially ordered sets or posets is linked to more traditional topics in combinatorial mathematics -- including graph theory, Ramsey theory, probabilistic methods, hypergraphs, algorithms, and computational geometry. The book's most important contribution is to collect, organize, and explain the many theorems on partially ordered sets in a way that makes them available to the widest possible audience.