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Theory Of Integration, Lectures On The (Real Analysis) - Softcover

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

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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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  • PublisherWspc
  • Publication date1988
  • ISBN 10 9971504502
  • ISBN 13 9789971504502
  • BindingPaperback
  • LanguageEnglish
  • Number of pages222

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9789971504519: LECTURES ON THE THEORY OF INTEGRATION (Real Analysis)

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ISBN 10:  9971504510 ISBN 13:  9789971504519
Publisher: World Scientific Publishing Company, 1988
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Hardcover. Octavo, vi, xii, 206 pages. In Very Good condition. Bound in the publisher's off-white, orange and gray cloth bearing black lettering to the spine. Boards have very light wear including mild sunning, few scratches and minimal wear to head/tail edges. Text block has light wear including age toning to the edges and faint offsetting to the end papers. Illustrated. NOTE: Shelved in Netdesk Column O, ND-O. 1389287. FP New Rockville Stock. Seller Inventory # 1389287

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Hardcover. Condition: ex library-good. Series in Real Analysis Volume I. xii, [2], 206 p. 22 cm. Ex library with labels on spine and rear pastedown, ink stamps on title page. Rear cover discoloured. Scratch at top front. Endpapers discoloured. Seller Inventory # 147444

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Hardcover. Condition: new. Hardcover. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9789971504502

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