Robert J. Valenza

This book provides a comprehensive and conceptual overview of linear algebra and is based on lectures delivered at Claremont McKenna College. The presentation will prepare the learner for further study of abstract mathematics by emphasizing the structural features rather than the computational aspects (for instance, by relating matrices to linear transformations from the beginning of the presentation). It is distinctive among algebra textbooks at this level in that it begins the discussion with an early introduction to group theory as an illustration of the systematic evolution of informal axiomatic systems.