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This books covers the following topics: Linear Systems, Vector Spaces, Maps Between Spaces, Determinants, Similarity.
Author(s): Jim Hefferon, Mathematics Department, Saint Michael's College
525 Pages
Lecture notes on Advanced Linear Algebra
This note covers the following topics: Motivation, linear spaces, and isomorphisms, Subspaces, linear dependence and independence, Bases, Dimension, direct sums, and isomorphism, Quotient spaces and dual spaces, Linear maps, nullspace and range, Nullity and rank, Matrices, Changing bases, Conjugacy, types of operators, dual space, determinants.
Author(s): Vaughn Climenhaga
145 Pages
Advanced Linear Algebra by David Surowski
This note explains the following topics: Eigenvalues and Eigenvectors, The spectral theorem, Tensor Products, Fourier Analysis and Quadrtic Reciprocity.
Author(s): David Surowski
157 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 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
Differential Equations and Linear Algebra Lecture Notes (PDF 95P)
This book explains the following topics related to Differential Equations and Linear Algebra: Linear second order ODEs, Homogeneous linear ODEs, Non-homogeneous linear ODEs, Laplace transforms, Linear algebraic equations, Linear algebraic eigenvalue problems and Systems of differential equations.
Author(s): Simon J.A. Malham
95 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
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
Linear Algebra Hefferon J (Mirror)
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NA Pages
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Linear Algebra, Infinite Dimensions, and Maple
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NA Pages
A Computational Introduction to Number Theory and Algebra (Version 1)
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A First Course in Linear Algebra
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Group Characters, Symmetric Functions, and the Hecke Algebra
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Toeplitz and Circulant Matrices
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