An Introduction to Measure and Integration (Graduate Studies in Mathematics) - Hardcover

Rana, Inder K.

Hardcover

ISBN 10: 0821829742 ISBN 13: 9780821829745

Publisher: American Mathematical Society, 2002

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.

About this title

About the Author

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

Edition details

• Publisher: American Mathematical Society
• Publication date: 2002
• ISBN 10: 0821829742
• ISBN 13: 9780821829745
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 424