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Oxford Graduate Texts in Mathematics #8: Introduction to Modern Analysis

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Oxford Graduate Texts in Mathematics #8: Introduction to Modern Analysis Cover

 

Synopses & Reviews

Publisher Comments:

This text is based on lectures given by the author at the advanced undergaraduate and graduate levels in Measure theory, Functional Analysis, Bannach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis and contain over 120 end of chapter exercises. the final two chapters apply theory to applications in Probability Theory and Partial Differential Equations.

Book News Annotation:

A graduate textbook covering the usual topics of measure theory and functional analysis, with applications to probability theory and the theory of linear partial differential equations. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Includes bibliographical references (p. [421]-424) and index.

Table of Contents

Preface

1. Measures

2. Construction of Measures

3. Measure and Topology

4. Continuous Linear Functionals

5. Duality

6. Bounded Operators

7. Banach Algebras

8. Hilbert Spaces

9. Intergral Representation

10. Unbounded Operators

Application I:Probability

Application II: Distributions

Bibliography

Index

Product Details

ISBN:
9780198526568
Author:
Kantorovitz, Shmuel
Publisher:
Oxford University Press, USA
Location:
New York
Subject:
Mathematical Analysis
Subject:
Statistics
Subject:
Probability & Statistics - General
Subject:
Mathematics | Probability
Subject:
Mathematics | Probability and Statistics
Subject:
Mathematics-Analysis General
Subject:
Mathematics | Probability & Statistics
Edition Description:
Includes bibliographical references and index.
Series:
Oxford graduate texts in mathematics ;
Series Volume:
no. 5.8
Publication Date:
20030431
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Pages:
448
Dimensions:
6.2 x 9.3 x 1.2 in 1.66 lb

Related Subjects

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Oxford Graduate Texts in Mathematics #8: Introduction to Modern Analysis New Hardcover
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Product details 448 pages Oxford University Press - English 9780198526568 Reviews:
"Synopsis" by , Includes bibliographical references (p. [421]-424) and index.
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