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A Brief Introduction to Linear Algebra
This note covers the following topics: Linear Algebra, Matrix Algebra, Homogeneous Systems and Vector Subspaces, Basic Notions, Determinants and Eigenvalues, Diagonalization, The Exponential of a Matrix, Applications,Real Symmetric Matrices, Classification of Conics and Quadrics, Conics and the Method of Lagrange Multipliers, Normal Modes.
Author(s): Leonard Evens
NA 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 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
Fundamentals of Linear Algebra
This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics. Author tried very hard to emphasize the fascinating and important interplay between algebra and geometry.
Author(s): James B. Carrell
412 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
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
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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Author(s): NA
NA Pages
A Computational Introduction to Number Theory and Algebra (Version 1)
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Author(s): NA
NA Pages
Elements of Abstract and Linear Algebra
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Basic Linear Algebra (PDF 73p)
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Author(s): NA
NA Pages
