**Lectures on the Algebraic Theory of Fields**

by K.G. Ramanathan

**Publisher**: Tata Institute of Fundamental Research 1956**ISBN/ASIN**: B0007JFMQG**Number of pages**: 228

**Description**:

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, vector spaces and ideal theory of rings.

Download or read it online for free here:

**Download link**

(930KB, PDF)

## Similar books

**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.

(

**5911**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.

(

**11160**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.

(

**6271**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.

(

**11341**views)