Lectures on the Theory of Integration (Paperback) (ISBN-13: 9789971504519)

This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of indefinite integral and Riemann definite integral in such a way that Lebesgue properties can be proved easily.Three important results that have not appeared in any other book distinguish this book from the rest. First a result on limits of sequences under the integral sign, secondly the necessary and sufficient conditions for the various limits under the integral sign and thirdly the application of these results to ordinary differential equations. The present book will give non-absolute integration theory just as easily as the absolute theory, and Stieltjes-type integration too.

Author: Ralph Henstock
ISBN-10: 9971504510
ISBN-13: 9789971504519
Publisher: World Scientific Publishing Company
Language: English
Published: 04/01/1988
Pages: 220
Format: Paperback
Weight: 0.67lbs
Size: 9.00h x 6.00w x 0.47d