Notes on Algebraic Structures
by Peter J. Cameron
Publisher: Queen Mary, University of London 2006
Number of pages: 102
After a short introductory chapter consisting mainly of reminders about such topics as functions, equivalence relations, matrices, polynomials and permutations, the notes fall into two chapters, dealing with rings and groups respectively.
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by John Scherk - Chapman & Hall
The book emphasizes the computational aspects of modern abstract algebra. Author integrated the software Mathematica into the discussions -- especially in the group theory sections -- but is careful not to make any logical reliance on this software.
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 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 John A. Beachy, William D. Blair - Waveland
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.