Table of Contents

Preface for the Instructor-Preface for the Student-Acknowledgments-1. Vector Spaces.- 2. Finite-Dimensional Vector Spaces.- 3. Linear Maps.- 4. Polynomials.- 5. Eigenvalues, Eigenvectors, and Invariant Subspaces.- 6. Inner Product Spaces.- 7. Operators on Inner Product Spaces.- 8. Operators on Complex Vector Spaces.- 9. Operators on Real Vector Spaces.- 10. Trace and Determinant-Photo Credits-Symbol Index-Index.

About the Author

Sheldon Axler, Professor Emeritus of the Mathematics Department at San Francisco State University, has authored many well-received books including

• Linear Algebra Done Right (in four editions)
• Measure, Integration & Real Analysis (Open Access)
• Precalculus: A Prelude to Calculus, Algebra & Trigonometry (in three editions)
• College Algebra
• Harmonic Function Theory (in two editions).

Axler has served as Editor-in-Chief of the Mathematical Intelligencer and Associate Editor of the American Mathematical Monthly. He has been a member of the Council of the American Mathematical Society and a member of the Board of Trustees of the Mathematical Sciences Research Institute. He is a Fellow of the American Mathematical Society and has been a recipient of numerous grants from the National Science Foundation.