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 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 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 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 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).