ENGLISH

Analysis by its history

By Ernst , Wanner , Gerhard; Hairer

Book information

Publisher
Springer
Year
2008
ISBN
9780387770314, 9780387770369, 0387770313
Language
english
Format
PDF
Filesize
24 MB (25424531 bytes)
Series
Undergraduate texts in mathematics. Readings in mathematics
Pages
377\390
Time added
2020-11-29 04:20:18
Science;Mathematics

Description

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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