How well-written must a mathematics textbook be that every university in your country has adopted it for their students? And, what if someone takes that textbook and translates it into a language which does not even have a common alphabet with the original? Then you might just have found the English version of the Russian textbook *Course of Linear Algebra and Multidimensional Geometry*.

Ruslan A. Sharipov of Bashkir State University used his textbook for the standard first-year, spring semester course of linear algebra between 1991 and 1998. The last revision that I know of was dated 17 May 2004.

I read through a few of the first pages and other than the author’s name, students would not know that the text was not originally written in English. Some of the other linear algebra textbooks, in my opinion, jump into the meat of the subject way too quickly. With Sharipov’s text, students might find well-thought out explanations to introductory or background terminology and concepts that other educators sometimes tend to gloss over in their rush to get to the ‘sexy’ parts of the material.

## Chapter Headings for Sharipov’s Linear Algebra Textbook

- Linear Vector Spaces and Linear Mappings
- Linear Operations
- Dual Space
- Bilinear and Quadratic Forms
- Euclidean Spaces
- Affine Spaces

View this Free Online Material at the source:

Course of Linear Algebra and Multidimensional Geometry