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
This note covers the following topics: Logic, Sets and functions, Matrix, Linear algebra.
Author(s): Matthew Towers
127Pages
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
1340Pages
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
762Pages
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
94Pages
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
419Pages
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
506Pages
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
NAPages
This note covers the following topics: 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 Application.
Author(s): H. Wu
216Pages
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
190Pages
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
NAPages
This lecture note discusses unique factorization and the modern theory of rings and their ideals, emphasizing Euclidean domains. Other algebraic structures (groups, fields) also are introduced.
Author(s): David Joyce, Clark University
177Pages
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
367Pages
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
104Pages
This book explains the inherent conceptual difficulties in the learning of algebra and the artificial difficulties created by human errors.
Author(s): H. Wu
103Pages
The book is written in a very clear and pleasing style. This old textbook truly depicts Leonhard Euler's genius. Too bad Euler's Identity was not mentioned in here.
Author(s): Leonhard Euler, John Hewlett, Francis Horner, Jean Bernoulli, Joseph Louis Lagrange
642Pages
First chapter explains the basic arithmetic and algebraic properties of the familiar number systems the integers, rational numbers, real numbers, and the possibly less familiar complex numbers. Second chapter introduces some basic ideas from Number Theory, the study of properties of the natural numbers and integers.3rd chapter, describes algebra of polynomials in a variable x with coefficients in a commutative ring S.
Author(s): Donald L. White
159Pages
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
NAPages
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
489Pages
