Analysis By Its History (undergraduate Texts In Mathematics)
by Gerhard Wanner /
2008 / English / PDF
12.5 MB Download
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.
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.
