Abstract Algebra I
by Marcel B. Finan
Publisher: Arkansas Tech University 2004
Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; Congruence Modulo n; Arithmetic Modulo n; Greatest Common Divisors; The Euclidean Algorithm; etc.
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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 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.
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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.
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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.