Lectures on the Theory of Integration

Henstock, Ralph

ISBN 10: 9971504510 / ISBN 13: 9789971504519

Published by World Scientific Publishing Company, 1988

About this Item

Seller Inventory # 20130413-n

Bibliographic Details

• Title: Lectures on the Theory of Integration
• Publisher: World Scientific Publishing Company
• Publication Date: 1988
• Language: English
• ISBN 10: 9971504510
• ISBN 13: 9789971504519
• Binding: Soft cover
• Condition: New

About this title

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.