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.
發表於2024-12-22
Analysis by Its History 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 分析 數學分析 UTM 數學 Mathematics 歷史 歐洲
目前為止讀過的最好的分析書
評分目前為止讀過的最好的分析書
評分目前為止讀過的最好的分析書
評分先講類似於多項式展開的近似方法,再講微分積分是很有意思的。不過其它部分似乎曆史味道並不濃
評分先講類似於多項式展開的近似方法,再講微分積分是很有意思的。不過其它部分似乎曆史味道並不濃
Analysis by Its History 2024 pdf epub mobi 電子書 下載