Course of Linear Algebra and Multidimensional Geometry
by Ruslan Sharipov
Publisher: Samizdat Press 1996
Number of pages: 143
This book is written as a textbook for the course of multidimensional geometry and linear algebra for the first year students at Physical and Mathematical Departments. It covers linear vector spaces and linear mappings, linear operators, dual space, bilinear and quadratic forms, Euclidean spaces, Affine spaces.
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by Sergei Treil
This book covers a first course of linear algebra, it introduces mathematically advanced students to rigorous proof and formal definitions. The author of the text tried to emphasize topics important for analysis, geometry and probability.
by Andrew Baker - University of Glasgow
The text covers basic ideas and techniques of Linear Algebra that are applicable in many subjects including the physical and chemical sciences, and statistics. These notes were originally written for a course at the University of Glasgow.
by Peter Saveliev - Intelligent Perception
This is a textbook for a one-semester course in linear algebra and vector spaces. An emphasis is made on the coordinate free analysis. The course mimics in some ways a modern algebra course. Calculus is a prerequisite for the course.
The book was designed specifically for students who had not previously been exposed to mathematics as mathematicians view it. That is, as a subject whose goal is to rigorously prove theorems starting from clear consistent definitions.