Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.… (more)
To my wife, Donna, and my sons, Nicholas, Marco, Andrés, and Adrian
Preface -- Once, when I was a student struggling to understand modern algebra, I was told to view this subject as an intellectual chess game, with conventional moves and prescribed rules of play. I was ill-served by this bit of extemporaneous advice, and vowed never to perpetuate the falsehood that mathematics is purely -- or primarily -- a formalism. My pledge has strongly influenced the shape and style of this book.