Measure Theory / Edition 1

by Paul R. Halmos

Overview

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

Product Details

ISBN-13:	9780387900889
Publisher:	Springer New York
Publication date:	01/01/1974
Series:	Graduate Texts in Mathematics Series , #18
Edition description:	1st ed. 1950. Corr. 2nd printing 1978
Pages:	324
Product dimensions:	6.14(w) x 9.21(h) x 0.36(d)

Table of Contents

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. 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.

Editorial 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

From the Publisher