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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
A First Course in Linear Algebra by Ilijas Farah and K. Kuttler
The contents of this book include: Systems of Equations, Matrices, Determinants, Linear Transformations, Complex Numbers, Spectral Theory, Some Curvilinear Coordinate Systems, Vector Spaces.
Author(s): Ilijas Farah, K. Kuttler
608 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
Exercises and Problems in Linear Algebra
This collection of exercises is designed to provide a framework for discussion in a junior level linear algebra class conducted fairly regularly at Portland State University. Topics covered includes: Matrices And Linear Equations, Vector Spaces , Linear Maps Between Vector Spaces , Spectral Theory Of Vector Spaces, The Geometry Of Inner Product Spaces , Adjoint Operators, Spectral Theory Of Inner Product Spaces.
Author(s): John M. Erdman
196 Pages
Lecture notes on linear algebra by David Lerner
These are lecture notes for a first course in linear algebra; the prerequisite is a good course in calculus. The notes are quite informal, but they have been carefully read and criticized by two sections of honors students, and their comments and suggestions have been incorporated. Topics covered includes: Matrices and matrix algebra, Elementary row operations and their corresponding matrices, Homogeneous systems, Square matrices, inverses and related matters, The derivative as a matrix, Subspaces, Linearly dependent and independent sets, Basis and dimension of subspaces, 3 The rank-nullity (dimension) theorem, Eigenvalues and eigenvectors, Orthogonal projections and orthogonal matrices, Symmetric and skew-symmetric matrices.
Author(s): David Lerner, University of Kansas
120 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
Lecture Notes on Linear Algebra (PDF 220P)
This book covers the following topics: Brief introduction to Logic and Sets, Brief introduction to Proofs, Basic Linear Algebra, Eigenvalues and Eigenvectors, Vector Spaces.
Author(s): Eleftherios Gkioulekas
220 Pages
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A Computational Introduction to Number Theory and Algebra (Version 1)
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PROBLEMS IN ALGEBRAIC COMBINATORICS
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Advanced Linear Algebra lecture notes (with real algorithm for the real Jordan form)
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Toeplitz and Circulant Matrices
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An Invitation to General Algebra and Universal Constructions
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