**Galois Theory: Lectures Delivered at the University of Notre Dame**

by Emil Artin

**Publisher**: University of Notre Dame 1971**Number of pages**: 96

**Description**:

The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## 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.

(

**5226**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.

(

**6183**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 ...

(

**6165**views)

**Algebraic Equations**

by

**George Ballard Mathews**-

**Cambridge University Press**

This book is intended to give an account of the theory of equations according to the ideas of Galois. This method analyzes, so far as exact algebraical processes permit, the set of roots possessed by any given numerical equation.

(

**6619**views)