This book presents first-year calculus roughly in the order in
which it was first 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.
The establishment of mathematical rigour for these subjects in the
19th century for one and several variables is treated in chapters
III and IV. Many quotations are included to give the flavor of the
history. The text is complemented by a large number of examples,
calculations and mathematical pictures and will provide stimulating
and enjoyable reading for students, teachers, as well as
researchers.
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