| 书目名称 | Problems from the Discrete to the Continuous | | 副标题 | Probability, Number | | 编辑 | Ross G. Pinsky | | 视频video | | | 概述 | Treats problems from four different mathematical disciplines, under the common theme of asymptotic limits and generous use of generating function techniques.Presented rigorously and with enough detail | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Textbook 2014 | | 关键词 | Asymptotic problems; Combinatorics; Graph theory; Number theory; Probability | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-07965-3 | | isbn_softcover | 978-3-319-07964-6 | | isbn_ebook | 978-3-319-07965-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 19:40:02
