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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
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
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
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 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
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
A Course In Commutative Algebra
This book covers the following topics: Ring Theory Background, Primary Decomposition and Associated Primes, Integral Extensions, Valuation Rings, Completion, Dimension Theory, Depth, Homological Methods and Regular Local Rings.
Author(s): Robert B. Ash, Professor Emeritus, Mathematics
NA 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
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
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Basic Linear Algebra (PDF 73p)
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