Lectures on the Theory of Integration is popular PDF and ePub book, written by Ralph Henstock in 1988, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on the Theory of Integration can be Read Online from any device for your convenience.

Lectures on the Theory of Integration Book PDF Summary

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.

Detail Book of Lectures on the Theory of Integration PDF

Lectures on the Theory of Integration
  • Author : Ralph Henstock
  • Release : 21 September 1988
  • Publisher : World Scientific
  • ISBN : 9971504510
  • Genre : Mathematics
  • Total Page : 224 pages
  • Language : English
  • PDF File Size : 9,6 Mb

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