Course of linear algebra and multidimensional geometry

TL;DR

This textbook provides a comprehensive overview of linear algebra and multidimensional geometry, emphasizing invariant methods, based on courses taught at Bashkir State University between 1991 and 1998.

Contribution

It offers a detailed presentation combining coordinate and invariant approaches, with a focus on invariant methods, tailored for educational use in linear algebra and geometry.

Findings

Emphasizes invariant approach over coordinate methods

Covers fundamental concepts of linear algebra and geometry

Serves as an educational resource for university courses

Abstract

This is a standard textbook for the course of linear algebra and multidimensional geometry as it was taught in 1991-1998 at Mathematical Department of Bashkir State University. Both coordinate and invariant approaches are used, but invariant approach is preferred.