Finite Sums


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.


Quadratic Form Closed Form Integer Point Harmonic Number Saving Account 


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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of MathematicsCzech Technical UniversityPraha 6Czech Republic

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