Linear Algebra: Foundations to Frontiers
by M.E. Myers, P.M. van de Geijn, R.A. van de Geijn
Publisher: ulaff.net 2014
Number of pages: 905
This document is a resource that integrates a text, a large number of videos (more than 270 by last count), and hands-on activities. It connects hand calculations, mathematical abstractions, and computer programming. It encourages you to develop the mathematical theory of linear algebra by posing questions rather than outright stating theorems and their proofs. It introduces you to the frontier of linear algebra software development.
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by Jim Hefferon - Saint Michael's College
This is an undergraduate linear algebra textbook, it covers linear systems, Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Each chapter is followed by additional topics and applications.
by Benjamin McKay - University College Cork
These notes are drawn from lectures given for a first year introduction to linear algebra. The prerequisites for this course are arithmetic and elementary algebra, and some comfort and facility with proofs, particularly using mathematical induction.
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 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.