This remarkable book takes a unique approach to linear algebra, presenting a logically interconnected sequence of 2,400 propositions and problems with hints and pointers, but without proofs. Advanced undergraduates and graduate students work out formal proofs systematically, proceeding from simple verifications to advanced strategies and techniques. 1974 edition. Reprint of the The MIT Press, Cambridge, Massachusetts, 1974 edition.
Lectures on Linear Algebra by I. M. Gel’fand Prominent Russian mathematician's concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, introduction to tensors, more. 1961 edition.
Linear Algebra by Georgi E. Shilov Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, and more.
