Essentials of Integration Theory for Analysis

Language: English

Published by Springer, 2020

3030584771 / 9783030584771

Series: Book 170 of 180 - Graduate Texts in Mathematics

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Druck auf Anfrage Neuware - Printed after ordering - When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration.Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows:2.2.5 and8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in7.3.4. Section7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections8.2.5 and8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on N are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.

Seller Inventory # 9783030584771

Title
Essentials of Integration Theory for Analysis
Author
Daniel W. Stroock
Publisher
Springer
Publication year
2020
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3030584771
ISBN 13
9783030584771
Edition
2nd Edition
Item weight
678 grams
Dimensions
241x160x21 mm
Series
Book 170 of 180: Graduate Texts in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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