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 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 David Cherney, Tom Denton, Andrew Waldron - UC Davis
This textbook is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors.
by W W L Chen - Macquarie University
Linear equations, matrices, determinants, vectors, vector spaces, eigenvalues and eigenvectors, linear transformations, real inner product spaces, orthogonal matrices, applications of real inner product spaces, complex vector spaces.