Synopsis
Doctoral Thesis / Dissertation from the year 2012 in the subject Mathematics - Miscellaneous, grade: Doctoral Degree, course: Ph. D., language: English, abstract: Delve into the enigmatic world where classical calculus falters and familiar rules of integration cease to apply; prepare to confront the perplexing realm of indefinite nonintegrable functions. This compelling exploration navigates the complexities of mathematical analysis, dissecting the very essence of functions that defy conventional integration techniques. Journey through a meticulously crafted landscape of theoretical mathematics, where established methodologies are rigorously examined and their limitations laid bare. The investigation embarks on a quest to define the elusive characteristics of these mathematical anomalies, scrutinizing specific examples and unearthing the subtle nuances that set them apart. From the foundational principles to the cutting edge of research, this study unveils the challenges and potential breakthroughs in understanding these mathematical entities. Discover how this research rigorously employs advanced mathematical tools to navigate the treacherous terrain where traditional approaches break down, offering fresh perspectives on integration and its boundaries. Consider the profound implications these findings hold for various scientific disciplines, as the theoretical insights gained from this analysis pave the way for novel applications and future explorations. Uncover the secrets hidden within these mathematical frontiers, where the pursuit of knowledge pushes the boundaries of our understanding of the integral calculus. Witness how these functions, once considered anomalies, may hold the key to unlocking new mathematical and scientific possibilities. This comprehensive analysis serves as a cornerstone for future research, inviting mathematicians and scientists alike to explore the uncharted territories of indefinite nonintegrable functions and their far-reaching impli
À propos de l?auteur
Dharmendra Kumar Yadav got schooling from Putki High School, Putki, Dhanbad. He graduated with Honors from RSP College, Jharia and Post-graduated from P K Roy Memorial College, Dhanbad in Mathematics. He did M. Phil. from Alagappa University, Tamil Nadu. Then he got his doctorate degree from Vinoba Bhave University, Hazaribag, Jharkhand under the supervision of Dr. D. K. Sen on the topic entitled A Study of Indefinite Non-integrable Functions. In Vedic Mathematics He developed Aanuruppen-Binomial Method using Vedic Mathematics formula Aanuruppen Viddhi and Binomial theorem. In Complex Analysis he applied Law of Trichotomy on Imaginary Unit 'iota' and proved many properties related to it. By using it, he extended the real number to Imaginary Number Line and then ended to a Circular Number Line. He proved the Big-bang Theory and Pulsating Theory of the universe by applying the concept of Imaginary unit 'iota'. He has published more than 25 research papers in journals of national & international repute and presented them in more than 10 conferences and seminars. His areas of research are Integral Calculus, Nonelementary Functions, Imaginary Unit, Vedic Mathematics.
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