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Measure Theory [Graduate Texts in Mathematics, 18] - Halmos, Paul R.

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Book Title
Measure Theory (Graduate Texts in Mathematics, 18)
ISBN
9780387900889

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
0387900888
ISBN-13
9780387900889
eBay Product ID (ePID)
170890

Product Key Features

Number of Pages
Xii, 304 Pages
Publication Name
Measure Theory
Language
English
Publication Year
1974
Subject
Algebra / General, Mathematical Analysis
Type
Textbook
Author
Paul R. Halmos
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
49 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
74-010690
Dewey Edition
23
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, 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 Number
18
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
513.83
Table Of Content
Preface; 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.
Synopsis
Useful 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 Number
QA331.5

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