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Synopsis
Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. This introductory text starts with the historical development of the notion of the integral and a review of the Riemann integral. From here, the reader is naturally led to the consideration of the Lebesgue integral, where abstract integration is developed via measure theory. The important basic topics are all covered: the Fundamental Theorem of Calculus, Fubini's Theorem, $L_p$ spaces, the Radon-Nikodym Theorem, change of variables formulas, and so on.
The book is written in an informal style to make the subject matter easily accessible. Concepts are developed with the help of motivating examples, probing questions, and many exercises. It would be suitable as a textbook for an introductory course on the topic or for self-study.
For this edition, more exercises and four appendices have been added.
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About the Author
Inder K. Rana.: Department of Mathematics Indian Institute of Technology Bombay
"About this title" may belong to another edition of this title.
- PublisherAmer Mathematical Society
- Publication date2002
- ISBN 10 0821829742
- ISBN 13 9780821829745
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages424
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An Introduction to Measure and Integration (Graduate Studies in Mathematics)
Published by
Amer Mathematical Society, 2002
ISBN 10: 0821829742
ISBN 13: 9780821829745
Used
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An Introduction to Measure and Integration (Graduate Studies in Mathematics)
Published by
Amer Mathematical Society, 2002
ISBN 10: 0821829742
ISBN 13: 9780821829745
Used
Hardcover
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An Introduction to Measure and Integration (Graduate Studies in Mathematics)
Published by
Amer Mathematical Society, 2002
ISBN 10: 0821829742
ISBN 13: 9780821829745
Used
Hardcover
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