LECTURES ON THE THEORY OF INTEGRATION (Real Analysis) - Softcover

Henstock, Ralph

 
9789971504519: LECTURES ON THE THEORY OF INTEGRATION (Real Analysis)
Softcover
ISBN 10: 9971504510 ISBN 13: 9789971504519
Publisher: World Scientific Publishing Company, 1988

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
1988
Language
English
ISBN 10 
9971504510
ISBN 13 
9789971504519
Binding
Paperback
Number of pages
220

Other Popular Editions of the Same Title

9789971504502: Theory Of Integration, Lectures On The (Real Analysis)

Featured Edition

ISBN 10:  9971504502 ISBN 13:  9789971504502
Publisher: Wspc, 1988
Softcover