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. Many of the concepts covered in the book can be quickly reviewed in the abstract setting, with the main focus of the review being the differences that arise in the general setting. It is also possible to skip over or delay parts of the first unit. The format of the text assumes that students have already taken an introduction to proofs course and have familiarity with set theory, functions and inductions. It is not assumed that all students have had a course in linear algebra, so the book has included an introduction to vector spaces, bases and linear transformations.
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract ...
A useful reference for mathematics teachers who need to brush up on their abstract algebra skills. An Introduction to Abstract Algebra with Notes to the Future Teacher, 1/E Olympia Nicodemi Melissa A Sutherland Gary W Towsley
B W 3 2 B W B 3 W 4 B 5 4 2 W 5 W6 1 W W 6 1 B B 7 7 10 B 10 W 8 W 9 W 8 W 9 B W To count the number of ways of attaching beads, we need to choose where the four black beads should go. The white beads will go on the remaining empty ...
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra.
Introduction to Abstract Algebra provides insight into the methods of abstract algebra. This book provides information pertinent to the fundamental concepts of abstract algebra.
Introduction to Abstract Algebra
In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences.
The work contains many concrete examples of algebraic structures. Each chapter contains a few worked examples for the student - these are divided into straightforward and more advanced categories. Answers are provided.
Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.