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Titlebook: Discrete Calculus; Methods for Counting Carlo Mariconda,Alberto Tonolo Textbook 2016 Springer International Publishing Switzerland 2016 com

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書目名稱Discrete Calculus
副標(biāo)題Methods for Counting
編輯Carlo Mariconda,Alberto Tonolo
視頻videohttp://file.papertrans.cn/282/281079/281079.mp4
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
叢書名稱UNITEXT
圖書封面Titlebook: Discrete Calculus; Methods for Counting Carlo Mariconda,Alberto Tonolo Textbook 2016 Springer International Publishing Switzerland 2016 com
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
關(guān)鍵詞combinatorics; finite sums and their approximations; generating functions; power series; recurrences
版次1
doihttps://doi.org/10.1007/978-3-319-03038-8
isbn_softcover978-3-319-03037-1
isbn_ebook978-3-319-03038-8Series ISSN 2038-5714 Series E-ISSN 2532-3318
issn_series 2038-5714
copyrightSpringer International Publishing Switzerland 2016
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Jakob B?nsch,Katharina Reh,Jivka Ovtcharovatail [28] by Poisson. In this chapter we deal only with the Euler–Maclaurin formulas of order 1 and 2 for functions that are, respectively, of class . or .: these cases are the source of most of the subsequent applications in the book. We treat the Euler–Maclaurin formula in full generality for func
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2038-5714 ng 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 4978-3-319-03037-1978-3-319-03038-8Series ISSN 2038-5714 Series E-ISSN 2532-3318
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