**Galois Theory**

by Miles Reid

**Publisher**: University of Warwick 2004**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.

Download or read it online here:

**Download link**

(470KB, PDF)

## Similar books

**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.

(

**2981**views)

**Lectures On Galois Cohomology of Classical Groups**

by

**M. Kneser**-

**Tata Institute of Fundamental Research**

The main result is the Hasse principle for the one-dimensional Galois cohomology of simply connected classical groups over number fields. For most groups, this result is closely related to other types of Hasse principle.

(

**4234**views)

**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 ...

(

**4043**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.

(

**9481**views)