Intro to Abstract Algebra
by Paul Garrett
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.
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by Frederick M. Goodman - Semisimple Press
An introduction to modern and abstract algebra at upper undergraduate level and beginning graduate students. The book treats conventional topics: linear algebra, groups, rings, fields, and symmetry as a unifying concept.
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).
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.
by Thomas Judson - Virginia Commonwealth University Mathematics
This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography.