Linear Algebra - Georgi E. Shilov

Linear Algebra by Georgi E. Shilov is presented here in Richard Silverman’s English translation, drawn from Shilov’s Russian mathematical texts. This paperback edition is a reprint of the original 1971 publication.

Key details

• Author: Georgi E. Shilov
• Translated by Richard Silverman
• Format: Paperback
• Pages: 400
• Publisher: Dover Publications Inc
• ISBN: 9780486635187

Synopsis

Written by a Professor of Mathematics at Moscow State University, this course moves from elementary foundations into the standard territory of an advanced undergraduate or beginning graduate syllabus. Topics include determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, and canonical forms for matrices of linear operators.

Shilov also treats bilinear and quadratic forms, Euclidean and unitary spaces, and quadratic forms in those settings, before turning to finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces. A substantial set of problems is provided, supported by a dedicated section of hints and answers at the back, making it suitable for both classroom use and self-study.

Rackhams Reference : V4G1RINE59