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    Metrics, Norms and Integrals: An Introduction to Contemporary Analysis (Paperback) By (author) Jerry J. Koliha

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    Description"Metrics, Norms and Integrals" is a textbook on contemporary analysis 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.

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    Metrics, Norms and Integrals
    An Introduction to Contemporary Analysis
    Authors and contributors
    By (author) Jerry J. Koliha
    Physical properties
    Format: Paperback
    Number of pages: 412
    Width: 152 mm
    Height: 228 mm
    Thickness: 24 mm
    Weight: 621 g
    ISBN 13: 9789812836571
    ISBN 10: 9812836578

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Merchandise Category: TXT
    B&T General Subject: 710
    B&T Modifier: Academic Level: 02
    LC classification: QA
    Ingram Subject Code: MA
    Libri: I-MA
    B&T Modifier: Text Format: 06
    DC22: 515
    Abridged Dewey: 515
    Warengruppen-Systematik des deutschen Buchhandels: 26230
    BISAC V2.8: MAT005000, MAT032000
    BIC subject category V2: PBK
    BISAC V2.8: MAT034000, MAT019000
    B&T Modifier: Region of Publication: 07
    Thema V1.0: PBK, PBKA, PBF, PBMB
    Illustrations note
    black & white illustrations, figures
    World Scientific Publishing Co Pte Ltd
    Imprint name
    World Scientific Publishing Co Pte Ltd
    Publication date
    13 November 2008
    Publication City/Country
    Table of contents
    Metrics and Topologies: Metric Spaces; Convergence and Completeness; Continuity; Topological Spaces; Compactness; Connectedness; Linear Analysis: Normed Spaces; Inner Product Spaces; Linear Operators and Functionals; Self-Adjoint Compact Operators; Functional Analysis; Integration: Measure Spaces; Abstract Lebesgue Integral; Integral on the Real Line; Construction of Measures; Product Measures; Lebesgue Spaces.