Measure Theory and Integration (Pure & Applied Mathematics)

Measure Theory and Integration (Pure & Applied Mathematics) by M. M. Rao

ISBN10: 047182822X
ISBN13: 978-0471828228
Author: M. M. Rao
Title: Measure Theory and Integration (Pure & Applied Mathematics)
Publisher: John Wiley & Sons Inc (July 8, 1987)
Language: English
Size ePub: 1518 kb
Size PDF: 1611 kb
Rating: 4.8/5
Votes: 368
Pages:
Subcategory: Mathematics

Measure Theory and Integration (Pure & Applied Mathematics) by M. M. Rao



Presented here is a detailed exposition of the general theory of measure and integration. The first half of the book demonstrates the power and efficacy of Caratheodory's method in obtaining general results in the subject most quickly and naturally. The author then establishes the need of inner measures and their importance for topological measure spaces and extension theory of measures beyond Caratheodory's approach. The lifting theorem, the capacity theory of Choquet's and topology through measure find a significant place in the exposition and their interrelations with other parts of the subject are included. Treated extensively are product measures and the Radon-Nikodym theory. Special attention is given to the motivation for each concept and to the general ideas behind most of the proofs, as well as detailed outlines of their execution. Exercises are also included.

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