Description

Book Synopsis
Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.

Table of Contents
Metric Spaces.

Normed Spaces;

Banach Spaces.

Inner Product Spaces;

Hilbert Spaces.

Fundamental Theorems for Normed and Banach Spaces.

Further Applications: Banach Fixed Point Theorem.

Spectral Theory of Linear Operators in Normed Spaces.

Compact Linear Operators on Normed Spaces and Their Spectrum.

Spectral Theory of Bounded Self-Adjoint Linear Operators.

Unbounded Linear Operators in Hilbert Space.

Unbounded Linear Operators in Quantum Mechanics.

Appendices.

References.

Index.

Introductory Functional Analysis with

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A Paperback / softback by Erwin Kreyszig

15 in stock


    View other formats and editions of Introductory Functional Analysis with by Erwin Kreyszig

    Publisher: John Wiley & Sons Inc
    Publication Date: 05/04/1989
    ISBN13: 9780471504597, 978-0471504597
    ISBN10: 0471504599
    Also in:
    Mathematics Numerical analysis

    Description

    Book Synopsis
    Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.

    Table of Contents
    Metric Spaces.

    Normed Spaces;

    Banach Spaces.

    Inner Product Spaces;

    Hilbert Spaces.

    Fundamental Theorems for Normed and Banach Spaces.

    Further Applications: Banach Fixed Point Theorem.

    Spectral Theory of Linear Operators in Normed Spaces.

    Compact Linear Operators on Normed Spaces and Their Spectrum.

    Spectral Theory of Bounded Self-Adjoint Linear Operators.

    Unbounded Linear Operators in Hilbert Space.

    Unbounded Linear Operators in Quantum Mechanics.

    Appendices.

    References.

    Index.

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