Essentials of Integration Theory for Analysis

Essentials of Integration Theory for Analysis
Author :
Publisher : Springer Nature
Total Pages : 296
Release :
ISBN-10 : 9783030584788
ISBN-13 : 303058478X
Rating : 4/5 (88 Downloads)

Book Synopsis Essentials of Integration Theory for Analysis by : Daniel W. Stroock

Download or read book Essentials of Integration Theory for Analysis written by Daniel W. Stroock and published by Springer Nature. This book was released on 2020-11-24 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on RN 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.


Essentials of Integration Theory for Analysis Related Books

Essentials of Integration Theory for Analysis
Language: en
Pages: 296
Authors: Daniel W. Stroock
Categories: Mathematics
Type: BOOK - Published: 2020-11-24 - Publisher: Springer Nature

DOWNLOAD EBOOK

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 Con
Geometric Integration Theory
Language: en
Pages: 404
Authors: Hassler Whitney
Categories: Mathematics
Type: BOOK - Published: 2015-12-08 - Publisher: Princeton University Press

DOWNLOAD EBOOK

A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both
A Modern Theory of Integration
Language: en
Pages: 480
Authors: Robert G. Bartle
Categories:
Type: BOOK - Published: 2001-03-21 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Lat
A Course on Integration Theory
Language: en
Pages: 504
Authors: Nicolas Lerner
Categories: Mathematics
Type: BOOK - Published: 2014-07-09 - Publisher: Springer

DOWNLOAD EBOOK

This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the C
Gendering European Integration Theory
Language: en
Pages: 304
Authors: Gabriele Abels
Categories: Social Science
Type: BOOK - Published: 2016-05-23 - Publisher: Verlag Barbara Budrich

DOWNLOAD EBOOK

The authors engage a dialogue between European integration theories and gender studies. The contributions illustrate where and how gender scholarship has made c