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Graduate Texts in Mathematics Ser.: Measure Theory by Paul R. Halmos (1974, Hardcover)

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Measure Theory, Hardcover by Halmos, Paul R., ISBN 0387900888, ISBN-13 9780387900889, Brand New, Free shipping in the US Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups. From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS

About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387900888

ISBN-139780387900889

eBay Product ID (ePID)170890

Product Key Features

Number of PagesXii, 304 Pages

Publication NameMeasure Theory

LanguageEnglish

Publication Year1974

SubjectAlgebra / General, Mathematical Analysis

TypeTextbook

AuthorPaul R. Halmos

Subject AreaMathematics

SeriesGraduate Texts in Mathematics Ser.

FormatHardcover

Dimensions

Item Weight49 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN74-010690

Dewey Edition23

ReviewsP.R. Halmos Measure Theory "As with the first edition, this considerably improved volume will serve the interested student to find his way to active and creative work in the field of Hilbert space theory."-MATHEMATICAL REVIEWS, P.R. HalmosMeasure Theory"As with the first edition, this considerably improved volume will serve the interested student to find his way to active and creative work in the field of Hilbert space theory."-MATHEMATICAL REVIEWS, P.R. Halmos Measure Theory "As with the first edition, this considerably improved volume will serve the interested student to find his way to active and creative work in the field of Hilbert space theory."a? MATHEMATICAL REVIEWS, P.R. Halmos Measure Theory "As with the first edition, this considerably improved volume will serve the interested student to find his way to active and creative work in the field of Hilbert space theory."--MATHEMATICAL REVIEWS

Series Volume Number18

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal513.83

Table Of ContentPreface; 0. Prerequisites; 1. Sets and Classes; 2. Measures and Outer Measures; 3. Extension of Measures; 4. Measurable Functions; 5. Integration; 6. General Set Functions; 7. Product Spaces; 8. 1= Transformations and Functions; 9. Probability; 10. Locally Compact Spaces; 11. Haar Measure; 12. Measure and Topology in Groups; References; Bibliography; List of Frequently Used Symbols; Index.

SynopsisUseful both as a text for students and as a source of reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory which is most useful for its application in modern analysis. The text is suitable for the beginning graduate student as well as the advanced undergraduate., Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups. From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS, My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a sour ce of refer ence for the more advanced mathematician. I have tried to keep to a minimum the amount of new and unusual terminology and notation. In the few pI aces where my nomenclature differs from that in the existing literature of meas ure theory, I was motivated by an attempt to harmonize with the usage of other parts of mathematics. There are, for instance, sound algebraic reasons for using the terms "lattice" and "ring" for certain classes of sets-reasons which are more cogent than the similarities that caused Hausdorff to use "ring" and "field. " The only necessary prerequisite for an intelligent reading of the first seven chapters of this book is what is known in the Uni ted States as undergraduate algebra and analysis. For the convenience of the reader, § 0 is devoted to a detailed listing of exactly what knowledge is assumed in the various chapters.

LC Classification NumberQA331.5