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Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Measure Theory ([EBook]) / by J. L. Doob.
Author	Doob, Joseph L. , 1910-2004
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 1994.
Physical Details	XII, 212 pages : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 143
ISBN	9781461208778
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-0877-8
Links to Related Works	Subject References: Functions of real variables . Mathematics . Real Functions . Authors: Doob, Joseph L. 1910-2004 . Doob, Joseph L., 1910-2004 . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515.8 .

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Measure Theory

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