Note to Students
This book may be unlike other mathematics textbooks you have read or used in previous courses. The investigations contained in it are designed to facilitate your learning by inviting you to be an active participant in the learning process. This is a book that is not meant to be simply read, but rather engaged in. It includes numerous activities within the text that are intended to motivate new material, illustrate definitions and theorems, and help you develop both the intuition and rigor that is necessary to understand and apply ideas from abstract algebra.
As professors of mathematics, we have found (and research confirms) that mathematics is not a spectator sport. To learn and understand mathematics, one must engage in the ...
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