**Algebraic Methods**

by F. Oggier

**Publisher**: Nanyang Technological University 2010**Number of pages**: 129

**Description**:

Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).

Download or read it online for free here:

**Download link**

(850KB, PDF)

## Similar books

**Elementary Abstract Algebra**

by

**W. Edwin Clark**-

**University of South Florida**

This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.

(

**9216**views)

**Intro to Abstract Algebra**

by

**Paul Garrett**

The text covers basic algebra of polynomials, induction, sets, counting principles, integers, unique factorization into primes, Sun Ze's theorem, good algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, etc.

(

**8456**views)

**Algebra: A Computational Introduction**

by

**John Scherk**-

**Chapman & Hall**

The book emphasizes the computational aspects of modern abstract algebra. Author integrated the software Mathematica into the discussions -- especially in the group theory sections -- but is careful not to make any logical reliance on this software.

(

**6711**views)

**Ten Chapters of the Algebraical Art**

by

**Peter J. Cameron**-

**Queen Mary, University of London**

These notes are intended for an introduction to algebra. The text is intended as a first introduction to the ideas of proof and abstraction in mathematics, as well as to the concepts of abstract algebra (groups and rings).

(

**4460**views)