Ten Chapters of the Algebraical Art
by Peter J. Cameron
Publisher: Queen Mary, University of London 2007
Number of pages: 108
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).
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by Anthony W. Knapp - Birkhäuser
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.
by Paul Garrett
The text covers basic algebra of polynomials, induction, sets, counting principles, integers, unique factorization into primes, Sun Ze's theorem, good algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, etc.
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.
by Donu Arapura - Purdue University
This book covers basic abstract algebra. Rather than spending a lot of time on axiomatics and serious theorem proving, the author wanted to spend more time with examples, simple applications and with making scenic detours.