Calculus, 4th edition

Book Preface

Promises, promises! In the preface to the third edition I noted that it was 13 years between the first and second editions, and then another 14 years before the third, expressing the hope that the next edition would appear sooner. Well, here it is another 14 years later before the fourth, and presumably final, edition.
Although small changes have been made to some material, especially in Chapters 5 and 20, this edition differs mainly in the introduction of additional problems, a complete update of the Suggested Reading, and the correction of numerous errors. These have been brought to my attention over the years by, among others,Nils von Barth; Philip Loewen; Fernando Mejias; Lance Miller, who provided a long list, particularly for the answer book; and Michael Maltenfort, who provided an amazingly extensive list of misprints, errors, and criticisms. Most of all, however, I am indebted to my friend Ted Shifrin, who has been using the book for the text in his renowned course at the University of Georgia for all these years, and who prodded and helped me to finally make this needed revision. I must also thank the students in his course this last academic year, who served as guinea pigs for the new edition, resulting, in particular, in the current proof in Problem 8-20 for the Rising Sun Lemma, far simpler than Reisz’s original proof, or even the proof in [38] of the Suggested Reading, which itself has now been updated considerably, again with great help from Ted.
MICHAEL SPIVAK