Linear Algebra Done Openly

A best-selling textbook that takes an innovative approach by avoiding determinants until the end. Covers vector spaces, linear maps, eigenvalues, inner product spaces, and operators on complex vector spaces.

Sheldon Axler

A developmental textbook that builds mathematical maturity through Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues. Features extensive examples and motivation.

Jim Hefferon

An honors-level textbook designed for mathematically advanced students. Emphasizes topics important for analysis, geometry, and probability while building skills in rigorous proof writing.

Sergei Treil