By Tom M. Apostol

An creation to the Calculus, with a great stability among concept and method. Integration is handled earlier than differentiation--this is a departure from latest texts, however it is traditionally right, and it's the top method to determine the genuine connection among the vital and the by-product. Proofs of the entire vital theorems are given, ordinarily preceded via geometric or intuitive dialogue. This moment variation introduces the mean-value theorems and their functions previous within the textual content, contains a therapy of linear algebra, and comprises many new and more uncomplicated workouts. As within the first version, an enticing old advent precedes every one vital new concept.