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.
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
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.
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
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.
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.
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.
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
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
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.
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.
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.