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
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 
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
Basic Algebra by Anthony W. Knapp
The contents include: Preliminaries About the Integers, Polynomials, and Matrices, Vector Spaces Over Q, R, and C, Inner-product Spaces, Groups and Group Actions, Theory of a Single Linear Transformation , Multilinear Algebra, Advanced Group Theory, . Commutative Rings and Their Modules, Fields and Galois Theory, Modules Over Noncommutative Rings.
Author(s): Anthony W. Knapp
762 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
College Algebra by Carl Stitz and Jeff Zeager
This note covers the following topics: The Laws of Algebra, Coordinates,The Cartesian Coordinate Plane, Graphs of Equations, Three Interesting Curves, Functions, Function Notation, Linear and Quadratic Functions, Polynomial Functions, Rational Functions, Function Composition, Exponential and Logarithmic Functions, Systems of Equations, Sequences and Series, Complex Numbers and the Fundamental Theorem of Algebra.
Author(s): Carl Stitz and Jeff Zeager
506 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