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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
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
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, Theory And Applications
This is a book on linear algebra and matrix theory. It provides an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. Topics covered includes: Matrices And Linear Transformations, Determinant, Row Operations, Factorizations, Vector Spaces And Fields, Linear Transformations, Inner Product Spaces, Norms For Finite Dimensional Vector Spaces.
Author(s): Kenneth Kuttler
503 Pages
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
Linear Algebra I by Ronald van Luijk
This note explains the following topics: Vector spaces, The field of complex numbers, Linear maps, Subspaces, Matrices, Linear independence and dimension, Ranks, Linear maps and matrices, Determinants, Eigenvalues and Eigenvectors.
Author(s): Ronald van Luijk
156 Pages
Linear Algebra II Lecture Notes (PDF 61P)
This book explains the following topics related to Linear Algebra: Vectors, Linear Equations, Matrix Algebra, Determinants, Eigenvalues and Eigenvectors, Linear Transformations, Dimension, Similarity and Diagonalizability, Complex Numbers, Projection Theorem, Gram-Schmidt Orthonormalization, QR Factorization, Least Squares Approximation, Orthogonal (Unitary) Diagonalizability, Systems of Differential Equations, Quadratic Forms, Vector Spaces and the Pseudoinverse.
Author(s): John C. Bowman, University of Alberta
61 Pages
Lecture Notes for Linear Algebra (PDF 268P)
These notes are intended for someone who has already grappled with the problem of constructing proofs.This book covers the following topics: Gauss-Jordan elimination, matrix arithmetic, determinants , linear algebra, linear transformations, linear geometry, eigenvalues and eigenvectors.
Author(s): James S. Cook, Liberty University
268 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
This book covers the following topics: Pari Types, Transcendental and Other Nonrational Functions, Arithmetic Functions, Polynomials and Power Series, Sums, Products and Integrals, Basic Programming, Algebraic Number Theory and Elliptic Curves.
Author(s): Robert B. Ash
20 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
Algebra and Number Theory A. Baker
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Linear Algebra, Infinite Dimensions, and Maple
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Basic Linear Algebra (PDF 73p)
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