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 Stephen Boyd, Lieven Vandenberghe - Cambridge University Press
This groundbreaking textbook covers the aspects of linear algebra - vectors, matrices, and least squares - that are needed for engineering applications, data science, machine learning, signal processing, tomography, navigation, control, etc.
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 J. Strom, K. Astrom, T. Akenine-Moller - immersivemath
This is a linear algebra book built around interactive illustrations. Each chapter starts with an intuitive concrete example that practically shows how the math works using interactive illustrations. After that, the more formal math is introduced.
by Edwin H. Connell
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.