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 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 J. Mathos, R. Campanha - Wikibooks
This book is on abstract algebra, an advanced set of topics related to algebra, including groups, rings, ideals, fields, and more. Readers of this book are expected to have read and understand Algebra, and Linear Algebra books.
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.
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.