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Other version: http://www.springer.com/mathematics/analysis/book/9780387770314
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Title 
Analysis by Its History 

Authors  
Publication  New York: Springer, 1996  
Collection 
Undergraduate Texts in Mathematics 

Description  377 p.  
Abstract  This book presents firstyear 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.  
Stable URL  http://archiveouverte.unige.ch/unige:12341  
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ISBN: 9780387770314 

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