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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先讲类似于多项式展开的近似方法,再讲微分积分是很有意思的。不过其它部分似乎历史味道并不浓
评分先讲类似于多项式展开的近似方法,再讲微分积分是很有意思的。不过其它部分似乎历史味道并不浓
评分先讲类似于多项式展开的近似方法,再讲微分积分是很有意思的。不过其它部分似乎历史味道并不浓
评分目前为止读过的最好的分析书
评分Introductory textbook for Analysis and calculus.
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