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.
- ISBN10 038727474X
- ISBN13 9780387274744
- Publish Date 1 January 2005 (first published July 1992)
- Publish Status Active
- Publish Country US
- Imprint Steven Roman
- Edition 2nd ed.
- Format eBook
- Language English