Advanced Linear Algebra

Graduate Texts in Mathematics #135

by Steven Roman

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.

Genres: Mathematics, Algebra, Textbooks, Science

543 pages, Paperback

First published October 20, 1995

Reviews

[Goo]

I bought this as a supplement for my first linear algebra course. Needless to say, I was surprised when I opened it.

You need a basic algebra background before tackling this book.