**Abstract Algebra for Polynomial Operations**

by Maya Mohsin Ahmed

2009**Number of pages**: 210

**Description**:

The focus of this book is applications of Abstract Algebra to polynomial systems. The first five chapters explore basic problems like polynomial division, solving systems of polynomials, formulas for roots of polynomials, and counting integral roots of equations. The sixth chapter uses the concepts developed in the book to explore coding theory and other applications.

Download or read it online for free here:

**Download link**

(700KB, PDF)

## Similar books

**Basic Algebra**

by

**Anthony W. Knapp**

Contents: Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; Inner-Product Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; etc.

(

**3408**views)

**Advanced Algebra**

by

**Anthony W. Knapp**-

**BirkhĂ¤user**

This book includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry.

(

**2394**views)

**Algebraic Methods**

by

**F. Oggier**-

**Nanyang Technological University**

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).

(

**7345**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).

(

**5745**views)