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 Justin Hill, Chris Thron - 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.
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 D. S. Malik, John N. Mordeson, M.K. Sen - Creighton University
This book is intended for a one-year introductory course in abstract algebra with some topics of an advanced level. We give a rigorous treatment of the fundamentals of abstract algebra with numerous examples to illustrate the concepts.
by Marcel B. Finan - Arkansas Tech University
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; etc.