"This is an introduction to abstract algebra. It is anticipated that the students have studied calculus and probably linear algebra. However, these are primarily mathematical maturity prerequisites; subject matter from calculus and linear algebra appears mostly in illustrative examples and exercises. As in previous editions of the text, my aim remains to teach students as much about groups, rings, and fields as I can in a first course. For many students, abstract algebra is their first extended exposure to an axiomatic treatment of mathematics. Recognizing this, I have included extensive explanations concerning what we are trying to accomplish, how we are trying to do it, and why we choose these methods. Mastery of this text constitutes a firm foundation for more specialized work in algebra, and also provides valuable experience for any further axiomatic study of mathematics"--
This is an in-depth introduction to abstract algebra.
Soyut cebire giriş
A comprehensive undergraduate-level text on abstract algebra, this book allows students to begin their exploration of groups in an environment that is patently non-commutative.
Students - even students who have done very well in calculus - often have trouble with abstract algebra. Our objective in writing this book is to make abstract algebra as accessible as elementary calculus and, we hope, a real joy to study.
Elements of Modern Algebra
Reflects the authors' belief that readers should be given some insight into the the main themes of abstract algebra, as well as an understanding of how these themes provide a unifying framework for the study of basic algebra structures, ...
New co-author Neal Brand has revised this classic text carefully and thoughtfully, drawing on years of experience teaching the course with this text to produce a meaningful and worthwhile update.
This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.
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