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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): G. A. Wentworth
269 Pages 
Lectures on Basic Algebraic Geometry
This note covers some algebra, Algebraic sets, More algebra, Halbert’s nullstellensatz, Topology of affine algebraic sets, A brief detour into plane curves, Quasiprojective varieties, Plane projective curves and bezouts theorems.
Author(s): Vishwambhar Pati
101 Pages
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
1340 Pages
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): Anthony W. Knapp
762 Pages
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
94 Pages
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): Rui L. Fernandes, University of Illinois at Urbana-Champaign, Manuel Ricou, Instituto Superior Tecnico
419 Pages
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): H. Wu
216 Pages