Analysis by Its History

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Synopsis

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.

Book details

Edition:
1996
Series:
Undergraduate Texts in Mathematics
Author:
Ernst Hairer, Gerhard Wanner
ISBN:
9780387770369
Related ISBNs:
9780387770314
Publisher:
Springer New York
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2021-02-09
Usage restrictions:
Copyright
Copyright date:
2008
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
History, Mathematics and Statistics, Nonfiction, Philosophy