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Lectures On The Theory Of Integration (Hardcover)
Loot Price: R2,814
Discovery Miles 28 140
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Lectures On The Theory Of Integration (Hardcover)
Series: Series In Real Analysis, 1
Expected to ship within 12 - 19 working days
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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.
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