by Anthony W. Knapp
Number of pages: 762
Contents: Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; Inner-Product Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; Commutative Rings and Their Modules; Fields and Galois Theory; Modules over Noncommutative Rings.
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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.
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 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.