Measure theory

著者

• Halmos, P. R. (Paul Richard)

書誌事項

Measure theory

Paul R. Halmos

（Graduate texts in mathematics, 18）

Springer-Verlag, 1974

• : us
• : gw

注記

"Reprint of the ed. published by Van Nostrand, New York, in series: The University series in higher mathematics"--T.p. verso

Bibliography: p. 293-296

Includes index

内容説明・目次

内容説明

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

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA00119346
• ISBN:
  • 0387900888
  • 3540900888
• LCCN: 74010690
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xi, 304 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA312
  • DC : 515/.42
• 件名:
  • LCSH : Measure theory
• 親書誌ID:
  • BA00010074