**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

**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).

(

**5823**views)

**Abstract Algebra**

by

**John A. Beachy, William D. Blair**-

**Waveland**

This text contains many of the definitions and theorems from the area of mathematics called abstract algebra. It is intended for undergraduates taking an abstract algebra class, as well as for students taking their first graduate algebra course.

(

**30742**views)

**Introduction to Abstract Algebra**

by

**D. S. Malik, John N. Mordeson, M.K. Sen**-

**Creighton University**

This book is intended for a one-year introductory course in abstract algebra with some topics of an advanced level. We give a rigorous treatment of the fundamentals of abstract algebra with numerous examples to illustrate the concepts.

(

**6548**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).

(

**7423**views)