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Computational Method and Calculus for the Summation of Geometric Series and Binomial Expansions

Chinnaraji Annamalai

202216 citationsDOIOpen Access PDF

Abstract

This paper presents computational method and differential and integral calculus for the summation of geometric series and binomial expansions in an innovative way and also theorems and relationship between the binomial expansions and geometric series. This computational technique refers to the methodological advance which is useful for researchers who are working in computational science. Computational science is a rapidly growing multi-and inter-disciplinary area where science, engineering, computation, mathematics, and collaboration use advance computing capabilities to understand and solve the most complex real life problems.

Topics & Concepts

Binomial coefficientSeries (stratigraphy)ComputationBinomial (polynomial)Calculus (dental)MathematicsGeometric seriesBinomial theoremDifferential (mechanical device)Applied mathematicsAlgebra over a fieldComputer scienceAlgorithmDiscrete mathematicsMathematical analysisPure mathematicsPower seriesStatisticsPaleontologyEngineeringAerospace engineeringDentistryBiologyMedicineNumerical Methods and Algorithms