Linear Algebra: An Introduction to Mathematical Discourse
Publisher: Wikibooks 2011
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. This book attempts to build students up from a background where mathematics is simply a tool that provides useful calculations to the point where the students have a grasp of the clear and precise nature of mathematics.
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by Marcel B. Finan - Arkansas Tech University
This book is addressed primarely to second and third year college students who have already had a course in calculus and analytic geometry. Its aim is solely to learn the basic theory of linear algebra within a semester period.
by Katta G. Murty
A sophomore level book on linear algebra and n-dimensional geometry with the aim of developing in college entering undergraduates skills in algorithms, computational methods, and mathematical modeling. Written in a simple style with lots of examples.
by José Figueroa-O'Farrill - The University of Edinburgh
These are the lecture notes and tutorial problems for the Linear Algebra module. The text is divided into three parts: (1) real vector spaces and their linear maps; (2) univariate polynomials; (3) introduction to algebraic coding theory.
by Keith Matthews - University of Queensland
This an introduction to linear algebra with solutions to all exercises. It covers linear equations, matrices, subspaces, determinants, complex numbers, eigenvalues and eigenvectors, identifying second degree equations, three–dimensional geometry.