Description

This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

Advanced Linear Algebra

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Paperback / softback by Steven Roman

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This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the... Read more

    Publisher: Springer-Verlag New York Inc.
    Publication Date: 19/11/2010
    ISBN13: 9781441924988, 978-1441924988
    ISBN10: 1441924981

    Number of Pages: 525

    Non Fiction , Mathematics & Science , Education

    Description

    This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

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