Metrics, Norms and Integrals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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J. J. Koliha 作者

譯者

2008-11 出版日期

408 頁數

441.00元價格

叢書系列

9789812836571 圖書編碼

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發表於2024-11-13

Metrics, Norms and Integrals 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Metrics, Norms and Integrals 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Metrics, Norms and Integrals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Metrics, Norms and Integrals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Metrics, Norms and Integrals 在線電子書圖書描述

based on the author s lectures given at the University of Melbourne for over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on measure spaces. This self-contained text contains a number of original presentations, including an early introduction of pseudometric spaces to motivate general topologies, an innovative introduction to the Lebesgue integral, and a discussion on the use of the Newton integral. It is thus a valuable book to inform and stimulate both undergraduate and graduate students.

Contents:Metrics and Topologies:; Metric Spaces; Convergence and Completeness; Continuity in Metric Spaces; Topological Spaces; Compactness; Connectedness; Linear Analysis:; Normed Spaces; Inner Product Spaces; Linear Operators and Functionals; Self-Adjoint Compact Operators; Introductory Functional Analysis; Integration:; Measure Spaces; The Abstract Lebesgue Integral; Integral on the Real Line; Construction of Measures; Product Measures. Integration on ℝ k ; Lebesgue Spaces.

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