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Analysis by Its History (Undergraduate Texts in Mathematics)

Analysis by Its History (Undergraduate Texts in Mathematics)
Author: Ernst Hairer - Gerhard Wanner
ISBN 13: 9780387770314
ISBN 10: 387770313
Edition: 1996
Publisher: Springer
Publication Date: 2008-06-02
Format: Paperback
Pages: 379
List Price: $44.95

This book presents first-year calculus roughly in the order in which it first was 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. 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.