**Intro to Abstract Algebra**

by Paul Garrett

1998**Number of pages**: 200

**Description**:

The text covers basic algebra of polynomials, induction and the well-ordering principle, sets, counting principles, integers, unique factorization into primes, prime numbers, Sun Ze's theorem, hood algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, pseudoprimes and primality tests, vectors and matrices, motions in two and three dimensions, permutations and symmetric groups, rings and fields, etc.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**Abstract Algebra I**

by

**Marcel B. Finan**-

**Arkansas Tech University**

Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; etc.

(

**6994**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).

(

**4985**views)

**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.

(

**2599**views)

**Notes on Algebraic Structures**

by

**Peter J. Cameron**-

**Queen Mary, University of London**

After a short introductory chapter consisting mainly of reminders about such topics as functions, equivalence relations, matrices, polynomials and permutations, the notes fall into two chapters, dealing with rings and groups respectively.

(

**4277**views)