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Advanced Linear Algebra

Advanced Linear Algebra

Hardcover

Series: Graduate Texts in Mathematics, Book 135

Algebra

ISBN10: 0387728287
ISBN13: 9780387728285
Publisher: Springer
Published: Oct 8 2007
Pages: 525
Weight: 2.07
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English

This is a graduate level textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, 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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Roman, Steven

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Algebra