"The book begins with sampling of classic and famous problems first posed by some of the greatest mathematicians of all time, Archimedes, Fermat, Newton, and Euler are each summoned in turn - illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr.

Stahl develops the basic tools of advanced calculus, introducing the various aspects of the completeness of the real number system, sequential continuity and differentiability, as well as uniform convergence. Finally, he presents applications and examples to reinforce concepts and demonstrate the validity of many of the historical methods and results."--BOOK JACKET.