Now available in paperback! An introduction to the calculus, with an excellent balance between theory & technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, & it is the best way to establish the true connection between the integral & the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems & their applications earlier in the text, incorporates a treatment of linear algebra, & contains many new & easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.