书目名称 | Problems from the Discrete to the Continuous |
副标题 | Probability, Number |
编辑 | Ross G. Pinsky |
视频video | http://file.papertrans.cn/758/757256/757256.mp4 |
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 |