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Algebra Books / Basic Algebra Books

Basic Algebra Books

This section contains free e-books and guides on Basic Algebra, some of the resources in this section can be viewed online and some of them can be downloaded.

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

Algebraic Methods

This note covers the following topics: Group Theory, Exercises on Group Theory, Ring Theory, Exercises on Ring Theory, Field Theory, Exercises for Field Theory, Galois Theory, Exercises on Galois Theory.

Author(s):

s 199Pages

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

Algebra I Lecture Notes

This note covers the following topics: Groups, Subgroups, Applications to number theory, Linear Combinations, Vector Spaces and Linear Algebra, Subspaces, Linear Transformations, Kernel and Image, Eigenvalues and eigenvectors, Error-correcting codes.

Author(s):

s 96Pages

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

Elementary Algebra

This book is written in such a way as to maintain maximum flexibility and usability. This textbook will effectively enable traditional or nontraditional approaches to elementary algebra. Topics covered includes: Real Numbers and Their Operations, Linear Equations and Inequalities, Graphing Lines, Solving Linear Systems, Polynomials and Their Operations, Factoring and Solving by Factoring, Rational Expressions and Equations, Radical Expressions and Equations, Solving Quadratic Equations and Graphing Parabolas.

Author(s):

s NAPages

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