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Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. It would be suitable as a textbook for an introductory course on the topic or for self-study. This introductory text st

Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. It would be suitable as a textbook for an introductory course on the topic or for self-study. This introductory text starts with the historical development of the notion of the integral and a review of the Riemann integral. Concepts are developed with the help of motivating examples, probing questions, and many exercises. From here, the reader is naturally led to the consideration of the Lebesgue integral, where abstract integration is developed via measure theory. For this edition, more exercises and four appendices have been added.. The book is written in an informal style to make the subject matter easily accessible. 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

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Rana.: Department of Mathematics Indian Institute of Technology Bombay

. Inder K

About the Author Inder K. Rana.: Department of Mathematics Indian Institute of Technology Bombay

• Title : An Introduction to Measure and Integration (Graduate Studies in Mathematics)
• Author : Inder K. Rana
• Rating : 4.97 (953 Vote)
• Publish : 2016-12-11
• Format : Hardcover
• Pages : 424 Pages
• Asin : 0821829742
• Language : English