A First Course in Linear Algebra
by Robert A. Beezer
Publisher: University of Puget Sound 2010
Number of pages: 1035
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Along the way, determinants and eigenvalues get fair time.
Home page url
Download or read it online for free here:
by M.E. Myers, P.M. van de Geijn, R.A. van de Geijn - ulaff.net
This document is a resource that integrates a text, videos, and hands-on activities. It connects hand calculations, mathematical abstractions, and computer programming. It encourages you to develop the theory of linear algebra by posing questions.
by Ruslan Sharipov - Samizdat Press
This is a textbook of multidimensional geometry and linear algebra for the first year students. It covers linear vector spaces and linear mappings, linear operators, dual space, bilinear and quadratic forms, Euclidean spaces, Affine spaces.
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.
by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
The first volume covers vectors in the plane and one-variable calculus. The two volumes provide material for a freshman-sophomore course in calculus in which linear algebra is gradually introduced and blended with the calculus.