Israel M. Gelfand's Lectures on Linear Algebra is a classic text known for its brevity and focus on the conceptual interplay between algebra and geometry. It is widely considered a "deep" resource because it moves quickly through foundational axioms to more advanced topics like tensors and canonical forms. Where to Find the PDF While the book is protected by copyright (published by Dover Publications
: The book prioritizes linear transformations—the "actions"—over matrices, which Gelfand views merely as one way to represent those actions. This helps readers visualize the underlying geometric and algebraic structures. gelfand lectures on linear algebra pdf
You can borrow a digital copy of the 1961 edition for free from the Internet Archive Israel M