Mathematics Books Algebra BooksBasic Algebra Books

Algebraic Methods

Algebraic Methods

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):

s199 Pages
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Elementary Algebra 2e

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.

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Basic Algebra by Anthony W. Knapp

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.

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Basic Algebra HELM

Basic Algebra HELM

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

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Introduction to Algebra by Rui L. Fernandes

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.

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College Algebra Lecture Notes by James Jones

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.

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College Algebra by Avinash Sathaye

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.

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Modern Algebra Lecture Notes

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.

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Algebra by Guru Jambheshwar University

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.

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Learning Algebra

Learning Algebra

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

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Fundamental Concepts Of Algebra

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.

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A Treatise on Algebra

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.

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Beginning and Intermediate Algebra

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.

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