Books 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.

Contains an account of the foundations of the theory of commutative normed rings without, however, touching upon the majority of its analytic applications. Intended for those who have knowledge of the elements of the theory of normed spaces and of set-theoretical topology, this title is based on [the authors'] paper written in 1940.