Finite Sums

Jiří Gregor () and Jaroslav Tišer ()
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Jiří Gregor: Czech Technical University, Department of Mathematics
Jaroslav Tišer: Czech Technical University, Department of Mathematics

Chapter 4 in Discovering Mathematics, 2011, pp 75-93 from Springer

Abstract: Abstract Finite sums pose a problem if the number of summands is large and/or when the evaluation of each of the summands has a common and non-simple pattern. Simplification of such sums demands special methods and skill. These methods can also be used in dealing with infinite series. Examples are given for counting objects constrained by arithmetic or geometric rules. The use of computers opened new problems in this directions.

Keywords: Quadratic Form; Closed Form; Integer Point; Harmonic Number; Saving Account (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-85729-064-9_5

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DOI: 10.1007/978-0-85729-064-9_5

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