Advanced Linear Algebra

Graduate Texts in Mathematics #135

by Steven Roman

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.

Genres: Mathematics, Algebra, Textbooks, Science

363 pages, Kindle Edition

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.