Calculus (4th Edition) by Michael Spivak
English | 2008 | ISBN: 0914098918 | 680 Pages | PDF | 102.9 MB
English | 2008 | ISBN: 0914098918 | 680 Pages | PDF | 102.9 MB
This book is a marvel for current (serious) math students, and for people who may one day find themselves teaching the subject, and want to choose best explanations for topics.
First of all, this book should be called *Introduction to Analysis*, lest the prospective buyer get the impression that this will be an introductory book on calculus, which eschews rigor. On the contrary, the first words in the preface indicate its mission: "Every aspect of this book was influenced by the desire to present calculus not merely as a prelude to but as the first real encounter with mathematics." This book is the best I've seen for people who have a serious interest in learning and teaching mathematics, and maybe even want to be a mathematician. I wouldn't buy this book if you have never before seen the derivative and the integral. This is, however, a great book for the foundations of analysis.