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Erschienen in:
2018 | OriginalPaper | Buchkapitel
85. Sumudu Transform for Automatic Mathematical Proof and Identity Generation
verfasst von : Jun Zhang, Fangyang Shen
Erschienen in: Information Technology - New Generations
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Abstract
Laplace Transform is among a few of these transforms playing important roles in pure and applied mathematics. Sumudu Transform is relatively new but has many good properties for solving problems in computational science. In this work, the authors introduce Sumudu Transform in computational approach which leads to various interesting and useful applications. Traditionally, the invention of mathematical formulae and proof of mathematical identities belong to the intelligent human beings. But in this work, we shall show that Sumudu Transform can be used to prove existing formulae and generate new mathematical identities automatically without embellishment. To show how it works, a good number of sample formulae and identities are provided for demonstration, including some famous ones such as Euler’s Formula, de Moivre’s Identity and Pythagorean Identity. Not only the work presented here is straightforward to introduce to students but also can be useful to assist new research works related to computational applications!