
A Study of Indefinite Nonintegrable Functions
LAP Lambert Academic Publishing
Published on 22. September 2016
Book
Paperback/Softback
256 pages
978-3-659-95553-2 (ISBN)
Description
First chapter starts with the definition of elementary function with previous algorithms on elementary & nonelementary functions. The second chapter contains Six Conjectures on Indefinite Nonintegrable Functions, which are traditionally known as nonelementary functions. In third chapter Dominating Function has been introduced, which dominates all most all elementary functions. In chapter four Different Types of Dominating Functions have been proposed with some properties. Chapter five contains two new functions Sequential Functions & Dominating Sequential Functions., which solves the problem of scarcity of elementary functions. In chapter six General Integrals of Dominating Sequential Functions have been generated and then indefinite integrals of some elementary and nonelementary functions have been derived. A Necessary & Sufficient Conditions for the Existence of Indefinite Integrals has been proposed in chapter seven. Possible integrals of all nonelementary functions discussed in chapter two have been discussed in chapter eight. Last chapter nine contains the Conclusion & Scope of Future Research in the field.
More details
Language
English
Dimensions
Height: 220 mm
Width: 150 mm
Thickness: 16 mm
Weight
399 gr
ISBN-13
978-3-659-95553-2 (9783659955532)
Schweitzer Classification
Persons
Dharmendra Kumar Yadav Assistant Professor, Department of Mathematics, Shivaji College, University of Delhi, Raja Garden, Delhi, India. His areas of research are Nonelementary Functions, Vedic Mathematics, Imaginary Unit. Dr. D K Sen, Retired Associate Professor and Head, Department of Mathematics, R. S. More College, Govindpur, Dhanbad, India.