Description

Book Synopsis

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.



Trade Review

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



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.

Measure Theory

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    A Hardback by Paul R. Halmos

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      Book details

      Publisher Springer New York
      Published 1 January 1974
      ISBN-13 9780387900889
      978-0387900889
      ISBN-10 0387900888
      Also in:
      Mathematics Real analysis, real variables

      Description

      Book Synopsis

      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.



      Trade Review

      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



      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.

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