| Six Conjectures on Integration: Extension of Non-elementary Functions Contributor(s): Yadav, Dharmendra Kumar (Author), Sen, Dipak Kumar (Author) |
|
 |
ISBN: 3668357994 ISBN-13: 9783668357990 Publisher: Grin Verlag OUR PRICE: $62.61 Product Type: Paperback Published: February 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Vector Analysis - Mathematics | Mathematical Analysis |
| Physical Information: 0.24" H x 5.83" W x 8.27" (0.31 lbs) 100 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |