Guide An introduction to measure and integration

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Readership: Graduate students and research mathematicians interested in mathematical analysis. Reviews: From reviews for the first edition: Distinctive features include: 1 An unusually extensive treatment of the historical developments leading up to the Lebesgue integral … 2 Presentation of the standard extension of an abstract measure on an algebra to a sigma algebra prior to the final stage of development of Lebesgue measure.

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An Introduction to Measure and Integration. Description 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 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.

An Introduction to Measure and Integration: Second Edition

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. Product details Format Hardback pages Dimensions Other books in this series. Partial Differential Equations Lawrence C. Add to basket. Algebra Paolo Aluffi. Classical and Quantum Computation A. Manifolds and Differential Geometry Jeffrey M.

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