Advanced Linear Algebra: Third Edition

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Mathematics - Algebra
Advanced Linear Algebra: Third Edition

Advanced Linear Algebra: Third Edition

Name: Advanced Linear Algebra: Third Edition
ISBN: 9781441924988

Steven Roman

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Main subject category: • Linear algebra

Mathematics Subject Classification (2000): • 15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra

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.

Categorie:

Mathematics - Algebra

Volume:

135

Anno:

2007

Edizione:

Casa editrice:

Springer; Springer Science+Business Media, LLC

Lingua:

english

Pagine: