**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 for free here:

**Download link**

(470KB, PDF)

## Similar books

**Lectures on the Algebraic Theory of Fields**

by

**K.G. Ramanathan**-

**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.

(

**8059**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.

(

**12272**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 ...

(

**7047**views)

**Fields and Galois Theory**

by

**J. S. Milne**

A concise treatment of Galois theory and the theory of fields, including transcendence degrees and infinite Galois extensions. Contents: Basic definitions and results; Splitting fields; The fundamental theorem of Galois theory; etc.

(

**8999**views)