Six Conjectures on Integration

Dipak Kumar Sen

ISBN 10: 3668357994 / ISBN 13: 9783668357990

Published by GRIN Verlag Feb 2017, 2017

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 100 pp. Englisch.

Seller Inventory # 9783668357990

Bibliographic Details

• Title: Six Conjectures on Integration
• Publisher: GRIN Verlag Feb 2017
• Publication Date: 2017
• Language: English
• ISBN 10: 3668357994
• ISBN 13: 9783668357990
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 210W x 148H x 8D millimeters 210 millimeters width by 148 millimeters height by 8 millimeters depth
• Weight: 157 grams

About this title

Synopsis

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.

About the Author

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.