| 书目名称 | Discrete Calculus | | 副标题 | Methods for Counting | | 编辑 | Carlo Mariconda,Alberto Tonolo | | 视频video | | | 概述 | A new and efficient way to learn combinatorics.Includes effective problem-solving methods.Efficient didactical approach, taking care of the reader.An original collection of important aspects of discre | | 丛书名称 | UNITEXT | | 图书封面 |  | | 描述 | .This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet user-friendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 4 | | 出版日期 | Textbook 2016 | | 关键词 | combinatorics; finite sums and their approximations; generating functions; power series; recurrences | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-03038-8 | | isbn_softcover | 978-3-319-03037-1 | | isbn_ebook | 978-3-319-03038-8Series ISSN 2038-5714 Series E-ISSN 2532-3318 | | issn_series | 2038-5714 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 17:48:08
