Serge Lang

Serge Lang’s Linear Algebra is designed to be completed in one semester at the high school or junior high level. It begins with an explanation of the fundamental theory of vector spaces and then moves on to an explanation of the fundamental structure theorem for linear maps.

This includes eigenvectors and eigenvalues, quadratic and hermitian forms, diagnostics of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and the Jordan canonical form. This updated edition of the book features numerous sections that have been extensively reworked and restructured, as well as the addition of brand-new activities.