Logo

Galois Theory by Miles Reid

Galois Theory
by

Publisher: University of Warwick
Number of pages: 89

Description:
The course will discuss the problem of solutions of polynomial equations both in explicit terms and in terms of abstract algebraic structures. The course demonstrates the tools of abstract algebra (linear algebra, group theory, rings and ideals) as applied to a meaningful problem.

Home page url

Download or read it online for free here:
Download link
(470KB, PDF)

Similar books

Book cover: Class Field TheoryClass Field Theory
by
Class field theory describes the abelian extensions of a local or global field in terms of the arithmetic of the field itself. These notes contain an exposition of abelian class field theory using the algebraic/cohomological approach.
(7764 views)
Book cover: Generic Polynomials: Constructive Aspects of the Inverse Galois ProblemGeneric Polynomials: Constructive Aspects of the Inverse Galois Problem
by - Cambridge University Press
A clearly written book, which uses exclusively algebraic language (and no cohomology), and which will be useful for every algebraist or number theorist. It is easily accessible and suitable also for first-year graduate students.
(11657 views)
Book cover: Notes on Galois TheoryNotes on Galois Theory
by - Boston College
From the table of contents: Basic ring theory, polynomial rings; Finite fields; Extensions of rings and fields; Computing Galois groups of polynomials; Galois groups and prime ideals; Cyclotomic extensions and abelian numbers.
(5445 views)
Book cover: Lectures on the Algebraic Theory of FieldsLectures on the Algebraic Theory of Fields
by - Tata Institute of Fundamental Research
These lecture notes on Field theory are aimed at providing the beginner with an introduction to algebraic extensions, algebraic function fields, formally real fields and valuated fields. We assume a familiarity with group theory and vector spaces.
(7516 views)