This book is an introduction to linear algebra, designed as a textbook for upper-division courses. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. Proofs of all the main theorems are given, with numerical examples, exercises, and applications to geometry, group theory, and differential equations.
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Fourth Edition
C.W. Curtis
Linear Algebra
An Introductory Approach.
"This book is an important addition to the literature of linear algebra. It would be a pleasure to use it for a one-semester or two-quarter course intended for serious (and talented) students. This book deserves to be as influential with the current generation of mathematics students as was Halmos’ Finite-Dimensional Vector Spaces with this reviewer’s generation, 45 years ago."―MATHEMATICAL REVIEWS
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