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 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 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 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 F. Oggier - Nanyang Technological University
Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).