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
Modern Algebra Lecture Notes
This course note focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics. Major topics covered includes: Groups, Subgroups, Cosets, Cyclic Groups, Permutation Groups, Conjugation in Sn, Isomorphisms, Homomorphisms and Kernels, Quotient Groups, The Isomorphism Theorems, Presentations and Groups of Small Order, Sylow Theorems and Applications, Rings, Ring Homomorphisms and Ideals, Field of Fractions, Euclidean Domains, Polynomial Rings.
Author(s): Prof. James McKernan
NA Pages 
Lectures on Basic Algebraic Geometry
This note covers some algebra, Algebraic sets, More algebra, Halbert’s nullstellensatz, Topology of affine algebraic sets, A brief detour into plane curves, Quasiprojective varieties, Plane projective curves and bezouts theorems.
Author(s): Vishwambhar Pati
101 Pages
This note covers the following topics: Logic, Sets and functions, Matrix, Linear algebra.
Author(s): Matthew Towers
127 Pages
This PDF Lectures covers the following topics related to Elementary Algebra : Foundations, Solving Linear Equations and Inequalities, Math Models, Graphs, Systems of Linear Equations, Polynomials, Factoring, Rational Expressions and Equations, Roots and Radicals, Quadratic Equations.
Author(s): Lynn Marecek, Santa Ana College, Maryanne Anthony-smith, Santa Ana College, Andrea Honeycutt Mathis, Northeast Mississippi Community College
1340 Pages
The contents include: Mathematical Notation and Symbols, Indices, Simplification and Factorisation, Arithmetic of Algebraic Fractions, Formulae and Transposition.
Author(s): HELM, Mathematics Education Centre, Loughborough University
94 Pages
Introduction to Algebra by Rui L. Fernandes
The contents include: Basic Algebraic Structures, The Integers, Other Examples of Rings, Quotients and Isomorphisms, Finite Groups, Modules, Galois Theory, Commutative Algebra, Set Theory.
Author(s): Rui L. Fernandes, University of Illinois at Urbana-Champaign, Manuel Ricou, Instituto Superior Tecnico
419 Pages
College Algebra Lecture Notes by James Jones
This note describes the following topics: Functions and Their Graphs, Intercepts, Zeros, and Solutions, Polynomials and Rational Functions, Systems of Equations and Inequalities, Matrices and Determinants, Sequences and Probability, Conics and Parametric Equations.
Author(s): James Jones
NA Pages