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Basic Algebra Books

There are many online resources where you can find free Basic Algebra books to download in PDF format, including online textbooks, ebooks, lecture notes, and more, covering basic, beginner, and advanced concepts for those looking for an introduction to the subject or a deeper understanding of it.

Basic Concepts of Algebra

This PDF Lectures covers the following topics related to Basic Concepts of Algebra : The Real-Number System, Integer Exponents, Scientific Notation, and Order of Operations, Addition, Subtraction, and Multiplication of Polynomials, Factoring, Rational Expressions, Radical Notation and Rational Exponents, The Basics of Equation Solving.

Author(s):

s 1058Pages

Elementary Algebra 2e

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):

s 1340Pages

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):

s 762Pages

Basic Algebra HELM

The contents include: Mathematical Notation and Symbols, Indices, Simplification and Factorisation, Arithmetic of Algebraic Fractions, Formulae and Transposition.

Author(s):

s 94Pages

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):

s 419Pages

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):

s 506Pages

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):

s NAPages

Introduction to School Algebra

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):

s 216Pages

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):

s 190Pages

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):

s NAPages

Introduction to Modern Algebra

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):

s 177Pages

College Algebra for STEM

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):

s 367Pages

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):

s 104Pages

Learning Algebra

This book explains the inherent conceptual difficulties in the learning of algebra and the artificial difficulties created by human errors.

Author(s):

s 103Pages

Elements of algebra

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):

s 642Pages

Fundamental Concepts Of Algebra

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):

s 159Pages

A Treatise on Algebra

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):

s NAPages

The First Steps in Algebra

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):

s 269Pages

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):

s 489Pages

Philosophy and Fun of Algebra

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 Teacherís Function, The Use of Sewing Cards, The Story of a Working Hypothesis, Macbethís Mistake, Jacobís Ladder.

Author(s):

s 56Pages