Analysis by Its History (Hardcover, 1st Corrected ed. 1996. Corr. 3rd printing 2000)

First-year calculus presented roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations, while the establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, and researchers alike.