“This calculus book by the creator of The Pleasures of Counting and Naive Decision Making is excellent for independent study. It will be helpful for anyone who would like to see an alternative explanation of the calculus from that provided in the conventional texts, as well as anyone between the ages of 16 and 18 who is about to begin studying mathematics. Professor Körner employs approximation and estimations in a way that will naturally blend into the conventional evolution of analysis in a colorful and simple-to-read language. He is able to explore issues that are infrequently handled at this introductory level by utilizing Taylor’s theorem with error bounds. A new generation of mathematicians will be inspired by the method in which this book presents crucial and fascinating concepts.”