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Introductory Notes in Linear Algebra for the Engineers
This book is addressed primarely to second and third year college engineering students who have already had a course in calculus and analytic geometry. It is the result of lecture notes given by the author at Arkansas Tech University. Topics covered includes: Linear Systems of Equations, Matrices, Determinants, The Theory of Vector Spaces, Eigenvalues and Eigenvectors, Linear Transformation.
Author(s): Marcel B. Finan
221 Pages 
Introduction to Applied Linear Algebra
This book is meant to provide an introduction to vectors, matrices, and least squares methods, basic topics in applied linear algebra. Our goal is to give the beginning student, with little or no prior exposure to linear algebra, a good grounding in the basic ideas, as well as an appreciation for how they are used in many applications, including data fitting, machine learning and artificial intelligence, tomography, image processing, finance, and automatic control systems. Topics covered includes: Vectors, Norm and distance, Clustering, Matrices, Linear equations, Matrix multiplication, Linear dynamical systems, Least squares, Multi-objective least squares, Constrained least squares.
Author(s): Stephen Boyd and Lieven Vandenberghe
473 Pages
Linear Algebra Notes by David A. Santos
The purpose with these notes is to introduce students to the concept of proof in linear algebra in a gentle manner. Topics covered includes: Matrices and Matrix Operations, Linear Equations, Vector Spaces, Linear Transformations, Determinants, Eigenvalues and Eigenvectors, Linear Algebra and Geometry.
Author(s): David A. Santos
270 Pages
Linear Algebra A free Linear Algebra Textbook and Online Resource
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. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations.
Author(s): David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron
436 Pages
The Structure of Finite Algebras (D. Hobby and R. McKenzie)
This book covers the following topics: Basic concepts and notation, Tight lattices, Tame quotients, Abelian and solvable algebras, The structure of minimal algebras, The types of tame quotients, Labeled congruence lattices, Solvability and semi-distributivity, Congruence modular varieties, Malcev classification and omitting types, Residually small varieties, Decidable varieties, Free spectra, Tame algebras and E-minimal algebras, Simple algebras in varieties.
Author(s): D. Hobby and R. McKenzie
212 Pages
These notes are concerned with algebraic number theory, and the sequel with class field theory. Topics covered includes: Preliminaries from Commutative Algebra, Rings of Integers, Dedekind Domains- Factorization, The Unit Theorem, Cyclotomic Extensions- Fermat’s Last Theorem, Absolute Values- Local Fieldsand Global Fields.
Author(s): J.S. Milne
164 Pages
Fundamentals of Linear Algebra
This book is not a ”traditional” book in the sense that it does not include any applications to the material discussed. Its aim is solely to learn the basic theory of linear algebra within a semester period. Topics covered includes: Linear Systems, Matrices, Determinants, The Theory of Vector Spaces, Eigenvalues and Diagonalization and Linear Transformations.
Author(s): Marcel B. Finan
196 Pages
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Algebra and Number Theory A. Baker
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A Geometric Review of Linear Algebra
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Linear Algebra, Infinite Dimensions, and Maple
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Linear Algebra Done Wrong Sergei Treil
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PROBLEMS IN ALGEBRAIC COMBINATORICS
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An Invitation to General Algebra and Universal Constructions
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