Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
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 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
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
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
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
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A Geometric Review of Linear Algebra
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A Computational Introduction to Number Theory and Algebra (Version 1)
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Advanced Linear Algebra lecture notes (with real algorithm for the real Jordan form)
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NA Pages
An Invitation to General Algebra and Universal Constructions
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