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Titlebook: Measure Theory; Donald L. Cohn Textbook 19801st edition Springer Science+Business Media New York 1980 Algebra.Excel.Probability theory.Top

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书目名称Measure Theory
编辑Donald L. Cohn
视频video
图书封面Titlebook: Measure Theory;  Donald L. Cohn Textbook 19801st edition Springer Science+Business Media New York 1980 Algebra.Excel.Probability theory.Top
描述.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. .Measure Theory. provides a solid background for study in both harmonic analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are courses in topology and analysis..
出版日期Textbook 19801st edition
关键词Algebra; Excel; Probability theory; Topology; calculus; ksa; mathematics; measure theory
版次1
doihttps://doi.org/10.1007/978-1-4899-0399-0
isbn_ebook978-1-4899-0399-0
copyrightSpringer Science+Business Media New York 1980
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Convergence,In this section we define and study a few modes of convergence for sequences of measurable functions. For simplicity we shall discuss only real-valued functions. It should be easy to see that everything can be extended so as to apply to complex-valued functions and to [−∞,+∞]-valued functions that are finite almost everywhere.*
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Measures on Locally Compact Spaces,In this chapter we shall be dealing with measures and integrals on locally compact Hausdorff spaces. This first section contains a summary of some of the necessary topological facts and constructions; the main development begins in Section 2.
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Springer Science+Business Media New York 1980
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