**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 Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**5612**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.

(

**10641**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.

(

**4192**views)

**The Elements of the Theory of Algebraic Numbers**

by

**Legh Wilber Reid**-

**The Macmillan company**

It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. Many numerical examples are given.

(

**5124**views)