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.
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© 2011 Springer-Verlag London Limited
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Gregor, J., Tišer, J. (2011). Finite Sums. In: Discovering Mathematics. Springer, London. https://doi.org/10.1007/978-0-85729-064-9_5
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DOI: https://doi.org/10.1007/978-0-85729-064-9_5
Publisher Name: Springer, London
Print ISBN: 978-0-85729-054-0
Online ISBN: 978-0-85729-064-9
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