Elementary Abstract Algebra
by W. Edwin Clark
Publisher: University of South Florida 2001
Number of pages: 105
This book is written as a one semester introduction to abstract algebra. The author does not spend a lot of time with background material, he goes directly into the subject matter. Applications of abstract algebra are not discussed, the thought processes one learns in this text is more valuable than the subject matter. Some familiarity with basic set theory, calculus, and linear algebra, is assumed.
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by J. Mathos, R. Campanha - Wikibooks
This book is on abstract algebra, an advanced set of topics related to algebra, including groups, rings, ideals, fields, and more. Readers of this book are expected to have read and understand Algebra, and Linear Algebra books.
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 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 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).