Linear Algebra Done Right: A Determinant-Free Masterpiece
Linear Algebra Done Right – Sheldon Axler
Sheldon Axler's fourth edition of Linear Algebra Done Right is now open access in English, Chinese, Farsi, Greek, and Portuguese. The book famously banishes determinants to the end, focusing on the structure of linear operators. This edition adds over 250 new exercises and 70 new examples. It's a best-selling textbook for a second course in linear algebra, praised as a 'didactic masterpiece' and 'the most original linear algebra book to appear in years.'
To so consistently do without determinants constitutes a tour de force in the service of simplicity and clarity.