Intro to Abstract Algebra
by Paul Garrett
Number of pages: 200
The text covers basic algebra of polynomials, induction and the well-ordering principle, sets, counting principles, integers, unique factorization into primes, prime numbers, Sun Ze's theorem, hood algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, pseudoprimes and primality tests, vectors and matrices, motions in two and three dimensions, permutations and symmetric groups, rings and fields, etc.
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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 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 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 W. Edwin Clark - University of South Florida
This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.