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

Inder K. Rana

ISBN 10: 0821829742 ISBN 13: 9780821829745

Editorial: Amer Mathematical Society, 2002

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa dura

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Descripci�n

2nd edition. 424 pages. 10.25x7.50x1.25 inches. In Stock.

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Detalles bibliogr�ficos

T�tulo

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

Editor

Amer Mathematical Society

Fecha de publicaci�n

2002

Idioma

Ingl�s

ISBN 10

0821829742

ISBN 13

9780821829745

Encuadernaci�n

Hardcover

Edici�n

2� Edici�n

Estado

Brand New

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Sinopsis

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.

Rese�a del editor

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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