Six Conjectures on Integration: Extension of Non-elementary Functions - Brossura

Yadav, Dharmendra Kumar; Sen, Dipak Kumar

Brossura

ISBN 10: 3668357994 ISBN 13: 9783668357990

Casa editrice: GRIN Verlag, 2017

Riassunto

Research Paper (postgraduate) from the year 2012 in the subject Mathematics - Analysis, grade: Research Project, Vinoba Bhave University (Shivaji College, University of Delhi, Raja Garden, Delhi), course: Ph. D., language: English, abstract: In this book, six conjectures on non-elementary functions based on indefinite integrals have been introduced. These conjectures give an infinite number of non-elementary functions in the sense that they cannot be integrated because for them no anti-derivatives exist in the form of elementary functions. These functions behave like a super set of many traditional non-elementary functions as can be seen in the examples on each conjecture. Two examples discussed by Marchisotto & Zakeri and the strong Liouville's theorem played an important role in proving each conjecture and its associated examples. These conjectures open up many more problems in the field of integral calculus for further research.

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L'autore

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 A Study of Indefinite Nonintegrable 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.

Dettagli dell?edizione

• Editore: GRIN Verlag
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 3668357994
• ISBN 13: 9783668357990
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 100
• Contatto del produttore: non disponibile
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