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 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.
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
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
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.