Computational Techniques and Calculus for the Summation of Geometric Series and Binomial Expansions
Chinnaraji Annamalai
Abstract
This paper presents algorithmic techniques, computation, 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
ComputationSeries (stratigraphy)Binomial (polynomial)Binomial coefficientCalculus (dental)Computer scienceGeometric seriesBinomial theoremAlgebra over a fieldMathematicsApplied mathematicsAlgorithmDiscrete mathematicsPure mathematicsPower seriesMathematical analysisStatisticsDentistryBiologyPaleontologyMedicineNumerical Methods and AlgorithmsPolynomial and algebraic computationHistory and Theory of Mathematics