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Modern Analysis
DOI link for Modern Analysis
Modern Analysis book
Modern Analysis
DOI link for Modern Analysis
Modern Analysis book
ByKenneth Kuttler
Edition 1st Edition
First Published 1998
eBook Published 10 October 2017
Pub. Location Boca Raton
Imprint CRC Press
Pages 584
eBook ISBN 9780203711316
Subjects Engineering & Technology, Mathematics & Statistics
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Kuttler, K. (1998). Modern Analysis (1st ed.). CRC Press. https://doi.org/10.1201/9780203711316
ABSTRACT
Modern Analysis provides coverage of real and abstract analysis, offering a sensible introduction to functional analysis as well as a thorough discussion of measure theory, Lebesgue integration, and related topics. This significant study clearly and distinctively presents the teaching and research literature of graduate analysis:
With an ambitious scope, this resource unifies various topics into one volume succinctly and completely. The contents span basic measure theory in an abstract and concrete form, material on classic linear functional analysis, probability, and some major results used in the theory of partial differential equations. Two different proofs of the central limit theorem are examined as well as a straightforward approach to conditional probability and expectation.
Modern Analysis provides ample and well-constructed exercises and examples. Introductory topology is included to help the reader understand such items as the Riesz theorem, detailing its proofs and statements. This work will help readers apply measure theory to probability theory, guiding them to understand the theorems rather than merely follow directions.
