Essentials of Integration Theory for Analysis

Author:   Daniel W. Stroock
Publisher:   Springer-Verlag New York Inc.
Edition:   2011 ed.
Volume:   262
ISBN:  

9781461429883


Pages:   244
Publication Date:   24 October 2013
Replaced By:   9783030584771
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Essentials of Integration Theory for Analysis


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Author:   Daniel W. Stroock
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2011 ed.
Volume:   262
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9781461429883


ISBN 10:   1461429889
Pages:   244
Publication Date:   24 October 2013
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Replaced By:   9783030584771
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

-Preface.-1. The Classical Theory.-2. Measures. -3. Lebesgue Integration.-4. Products of Measures.-5. Changes of Variable.-6. Basic Inequalities and Lebesgue Spaces.-7. Hilbert Space and Elements of Fourier Analysis.-8. The Radon-Nikodym Theorem, Daniell Integration, and Carathéodory's Extension Theorem.-Index.

Reviews

From the reviews: This volume is an appropriate text for a one-semester graduate course in integration theory and is complemented by the addition of several problems related to the new material. ... This volume should become a new relevant reference for integration theory. It will help the reader to sharpen his/her sensitivity to issues of measure theory, and to renew his/hers expertise in integration theory. ... warmly recommends the book with confidence to anyone who is interested in understanding modern integration theory. (Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1228, 2012) This is a book in measure theory at the graduate level. ... The presentation is clear and concise, and detailed proofs are given. ... Each section also contains a long and useful list of exercises. ... The book is certainly well suited to the serious student or researcher in another field who wants to learn the topic. ... the book could be used by lecturers who want to illustrate a standard graduate course in measure theory by interesting examples from other areas of analysis. (Lars Olsen, Mathematical Reviews, Issue 2012 h)


From the reviews: This volume is an appropriate text for a one-semester graduate course in integration theory and is complemented by the addition of several problems related to the new material. ... This volume should become a new relevant reference for integration theory. It will help the reader to sharpen his/her sensitivity to issues of measure theory, and to renew his/hers expertise in integration theory. ... warmly recommends the book with confidence to anyone who is interested in understanding modern integration theory. (Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1228, 2012) This is a book in measure theory at the graduate level. ... The presentation is clear and concise, and detailed proofs are given. ... Each section also contains a long and useful list of exercises. ... The book is certainly well suited to the serious student or researcher in another field who wants to learn the topic. ... the book could be used by lecturers who want to illustrate a standard graduate course in measure theory by interesting examples from other areas of analysis. (Lars Olsen, Mathematical Reviews, Issue 2012 h)


Author Information

Daniel W. Stroock is now Emeritus professor of the mathematics department at MIT. He is a renowned mathematician in the areas of analysis and probability theory and stochastic processes. Prof. Stroock has had an active career in both the research and administrative levels of academia. From 2002-2006, he was selected the first holder of the second Simons Professorship of Mathematics. He has served as Chair of the Pure Math Committee from 1995-1997; a board member of the National Research Council. He has also chaired various committees of the AMS and was a nominee for AMS President in 1999. In 1996, the AMS awarded Dan Stroock (jointly with S. Varadhan), the Leroy P. Steele Prtize for his seminal contributions to research in stochastic equations. Prof. Stroock is a member of both the American Academy of Arts and Sciences and the National Academy of Sciences.

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