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
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 
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 by Avinash Sathaye
This is a set of lecture notes on introductory school algebra written for middle school teachers. Topics covered includes: Symbolic Expressions, Transcription of Verbal Information into Symbolic Language, Linear Equations in One Variable, Linear Equations in Two Variables and Their Graphs, Simultaneous Linear Equations, Functions and Their Graphs, Linear functions and proportional reasoning, Linear Inequalities and Their Graphs, Exponents, Quadratic Functions and Their Graphs, The Quadratic Formula and Applications.
Author(s): Avinash Sathaye
190 Pages
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
This book is designed specifically as a College Algebra course for prospective STEM students. Topics covered includes: Review of Beginning/Intermediate Algebra, Functions and Related Topics, Polynomial Functions, Rational Functions, Exponential and Logarithmic Functions.
Author(s): Marcel B. Finan
367 Pages
Algebra by Guru Jambheshwar University
This book covers the following topics: Subnormal and Normal series, Invariant Series and Chief Series, Commutator Subgroup, Central series and Field extensions, Field Extensions and constructions, Algebraic Extension and Transcendental Extensions, Roots Of Polynomials, Simple Extensions, Construction By Straight Edge and Compass, Symmetric Rational Functions, Normal Extension, Galois Theory and Finite Fields.
Author(s): Guru Jambheshwar University of Science and Technology, Hisar
104 Pages
This book explains the inherent conceptual difficulties in the learning of algebra and the artificial difficulties created by human errors.
Author(s): H. Wu
103 Pages
This book covers the following topics: Multiplication of monomial expressions, Factors found by rearrangement and grouping of terms, Bemainder Theorem, Discussion of roots of a quadratic equation, Irrational equations, nationalizing factors, Radix fractions, General convergent, Reduction of quadratic surds to continued fractions, Theory op Numbers, Congruences, Multiplication of determinants.
Author(s): Charles Smith
NA Pages
This book is written for pupils in the upper grades of grammar schools and the lower grades of high schools. The introduction of the simple elements of Algebra into these grades will, it is thought, so stimulate the mental activity of the pupils, that they will make considerable progress in Algebra without detriment to their progress in Arithmetic, even if no more time is allowed for the two studies than is usually given to Arithmetic alone.
Author(s): G. A. Wentworth
269 Pages
Beginning and Intermediate Algebra
Beginning and Intermediate Algebra is an open source book written by Tyler Wallace. This book covers the following topics: Pre-Algebra, Solving Linear Equations, Inequalities, Systems of Equations, Graphing, Polynomials, Factoring, Quadratics, Rational Expressions, Functions and Radicals.
Author(s): Tyler Wallace
489 Pages
This note covers the following topics: From Arithmetic To Algebra, The Making of Algebras, Simultaneous Problems, Partial Solution: Elements of Complexity, Mathematical Certainty, The First Hebrew Algebra, The Limits of the Teacher’s Function, The Use of Sewing Cards, The Story of a Working Hypothesis, Macbeth’s Mistake, Jacob’s Ladder.
Author(s): Mary Everest Boole
56 Pages