Paul R. Halmos

Measure Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 304
• Erscheinungstermin: 19. Dezember 2013
• Englisch
• ISBN-13: 9781468494402
• Artikelnr.: 43993512

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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