Intro to Abstract Algebra by Paul Garrett

Intro to Abstract Algebra

Number of pages: 200

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.

Home page url

Download or read it online for free here:
Download link
(1.2MB, PDF)

Similar books

Book cover: Abstract Algebra for Polynomial OperationsAbstract Algebra for Polynomial Operations
The focus of this book is applications of Abstract Algebra to polynomial systems. It explores basic problems like polynomial division, solving systems of polynomials, formulas for roots of polynomials, counting integral roots of equations, etc.
Book cover: Elementary Abstract Algebra: Examples and ApplicationsElementary Abstract Algebra: Examples and Applications
by - Texas A&M University
This book is our best effort at making Abstract Algebra as down-to earth as possible. We use concrete mathematical structures such as the complex numbers, integers mod n, symmetries to introduce some of the beautifully general ideas of group theory.
Book cover: Elementary Abstract AlgebraElementary Abstract Algebra
by - 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.
Book cover: Ten Chapters of the Algebraical ArtTen Chapters of the Algebraical Art
by - 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).