Measure Theory : Second Edition. 2nd ed. 2013

種類:

電子ブック

責任表示:

by Donald L. Cohn

出版情報:

New York, NY : Springer New York : Imprint: Birkhäuser, 2013

著者名:

• Cohn, Donald L.
• SpringerLink (Online service)

シリーズ名:

Birkhäuser Advanced Texts Basler Lehrbücher ;

ISBN:

9781461469568 [1461469562]    

注記:

Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition includes a chapter on measure-theoretic probability theory, plus brief treatments of the Banach-Tarski paradox, the Henstock-Kurzweil integral, the Daniell integral, and the existence of liftings. Measure Theory provides a solid background for study in both functional analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are basic courses in point-set topology and in analysis, and the appendices present a thorough review of essential background material. The author aims to present a straightforward treatment of the part of measure theory necessary for analysis and probability' assuming only basic knowledge of analysis and topolo

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