ENGLISH

Analysis by Its History

By Ernst Hairer , Gerhard Wanner

Book information

Publisher
Springer
Year
2008
ISBN
0387770313, 9780387770314
LCC
QA300 .H365 2008
Google Books ID
Kzp4zPIL8B0C
Open Library ID
OL25175208M
Language
english
Format
PDF
Filesize
12 MB (13091407 bytes)
Series
Undergraduate Texts in Mathematics
Edition
1st
Pages
390\390
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

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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