The contents include,
Preliminaries About the Integers, Polynomials, and Matrices, Vector Spaces Over
Q, R, and C, Innerproduct 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 book contains below topics, The Verbal Method, Use a sentence to dene a set, The Integers, The Real Numbers, R xx possesses a decimal representation.
This book contains below topics, Prerequisites, Equations and Inequalities, Functions, Linear Functions, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Systems of Equations and Inequalities, Analytic Geometry, Sequences Probability and Counting Theory.
This note covers some algebra, Algebraic sets, More algebra, Halberts nullstellensatz, Topology of affine algebraic sets, A brief detour into plane curves, Quasiprojective varieties, Plane projective curves and bezouts theorems.
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, 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 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.