**Galois Theory**

by Christopher Cooper

**Publisher**: Macquarie University 2009**Number of pages**: 86

**Description**:

This text follows the usual path through to Galois groups, but just for subfields of the complex numbers. It takes as its goal the insolubility of polynomials by radicals. This is as far as we normally reach, though there is an additional chapter that gives an algebraic proof of the Fundamental Theorem of Algebra, using Sylow theory.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Geometry of the Quintic**

by

**Jerry Shurman**-

**Wiley-Interscience**

The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem -- solving the quintic. This book helps students to develop connections between the algebra, geometry, and analysis ...

(

**4549**views)

**Generic Polynomials: Constructive Aspects of the Inverse Galois Problem**

by

**C. U. Jensen, A. Ledet, N. Yui**-

**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.

(

**9916**views)

**Galois Theory**

by

**Miles Reid**-

**University of Warwick**

The author discusses 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 as applied to a meaningful problem.

(

**9710**views)

**Notes on Galois Theory**

by

**Mark Reeder**-

**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.

(

**3474**views)