Elementary Abstract Algebra: Examples and Applications
by Justin Hill, Chris Thron
Publisher: Texas A&M University 2017
Number of pages: 785
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, and permutations to introduce some of the beautifully general ideas of group theory.
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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 Peter J. Cameron - Queen Mary, University of London
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.
by Edwin H. Connell
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.
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).