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商品詳細
Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics.
・ISBN 978-3-319-07964-6 paper EUR 54.99
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お気に入り
★★★
| 著者・編者 | Pinsky, Ross G., |
|---|---|
| シリーズ | Universitext |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2014 |
| ページ数 | 154 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-21853> |
解説
The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct, as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.