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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
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
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
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
A Course In Algebraic Number Theory
This is a text for a basic course in algebraic number theory. This book covers the following topics: Norms, Traces and Discriminants, Dedekind Domains, Factoring of Prime Ideals in Extensions, The Ideal Class Group, The Dirichlet Unit Theorem, Cyclotomic Extensions, Factoring of Prime Ideals in Galois Extensions and Local Fields
Author(s): Robert B. Ash, Professor Emeritus, Mathematics
NA 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
An Introduction to Linear Algebra
This article reviews the basics of linear algebra and provides the reader with the foundation required for understanding most chemometrics literature.
Author(s): Barry M. Wise and Neal B. Gallagher
27 Pages
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NA Pages
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NA Pages
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A Computational Introduction to Number Theory and Algebra (Version 1)
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NA Pages
A First Course in Linear Algebra
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NA Pages
PROBLEMS IN ALGEBRAIC COMBINATORICS
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NA Pages
Basic Linear Algebra (PDF 73p)
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