-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.
This book was my first foray into higher, proof-based mathematics and I’m so thankful that it was. The writing was so clear and descriptive. It opened my mind to an entire field of study that I hadn’t explored yet.
There have only been 2 books that have genuinely shifted my academic life and this is the first. After this class, Math 113, I decided to study math. This was mainly because of the thought process outlined in this book. If anyone is even remotely interested in math, I would ABSOLUTELY recommend they read this book.
Did the 3rd edition in college, but couldn't resist going through the new 4th edition. In particular loved an approach without the use of determinants until very late. Always fun to reconstruct things like SVD from scratch.