ABSTRACT

Garrett and I combined our presentations to produce a joint book that included both our emphases. For example, the prominent chapter on group theory started with an extensive consideration of examples of groups written to motivate the subsequent, more abstract ideas about groups. For the other topics, we also provided examples first and then theorems. We included a careful treatment of Galois Theory that depended in part on what I had learned from Artin’s lecture on the subject in Chicago, and we made a splendid example of abstract methods. Thankfully, Dorothy typed the manuscript for our book.