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Measure Theory by J.L. Doob at Abbey's Bookshop,
Measure Theory
— —
J.L. Doob

Measure Theory

J.L. Doob

$130.95   $105.07

Paperback

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English
Springer-Verlag New York Inc.
02 October 2012
Real analysis, real variables
Series: Graduate Texts in Mathematics
"This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag thought that the point of view in the book had general interest and offered to publish it, I was forced to try to write more clearly and search for errors. The search was productive. Readers will observe the stress on the following points. The application of pseudometric spaces. Pseudo metric, rather than metric spaces, are applied to obviate the artificial replacement of functions by equivalence classes, a replacement that makes the use of ""almost everywhere"" either improper or artificial. The words ""function"" and ""the set on which a function has values at least E"" can be taken literally in this book. Pseudometric space properties are applied in many contexts. For example, outer measures are used to pseudometrize classes of sets and the extension of a finite measure from an algebra to a 0"" algebra is thereby reduced to finding the closure of a subset of a pseudo metric space."
By:  
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States
Edition:   Softcover reprint of the original 1st ed. 1994
Volume:   143
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 12mm
Weight:   355g
ISBN:   9781461269311
ISBN 10:   1461269318
Series:   Graduate Texts in Mathematics
Pages:   212
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
0. Conventions and Notation.- I. Operations on Sets.- II. Classes of Subsets of a Space.- III. Set Functions.- IV. Measure Spaces.- V. Measurable Functions.- VI. Integration.- VII. Hilbert Space.- VIII. Convergence of Measure Sequences.- IX. Signed Measures.- X. Measures and Functions of Bounded Variation on R.- XI. Conditional Expectations ; Martingale Theory.- Notation.

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