历史视角下的分析
Analysis by its history
Ernst Hairer、G. Wanner · 初版 1996 年
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本书大致按照微积分最初被发现的历史顺序来介绍大一微积分知识。前两章展示了古代实际问题的计算如何催生出无穷级数、微分与积分学以及微分方程。第三章和第四章则探讨了19世纪单变量及多变量微积分数学严谨性的确立。全书辅以大量的例题、推导计算和数学插图，对于学生、教师以及研究人员而言，都将是一部兼具启发性与趣味性的读物
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不确定有没有人提过，另一本好书：《从历史看分析》（Analysis by its History）
Not sure if mentioned, another good book: Analysis by its History
…晦涩难懂，除非你早已经跨过了那道坎。具体到分析学，一种方法是按照它被发现的历史顺序来学习。有一本评价很高的书叫《从历史看分析》（Analysis by Its History），但我还没读过。还有一本 Stephen Abbott 写的《理解分析》（Understanding Analysis），如果你在重新死磕“baby Rudin”（小鲁丁）之前想休整一下重整旗鼓，我推荐你读读这本。
…incomprehensible, unless you're already on the other side. When it comes to analysis in particular, one approach is to start studying it in the order it was discovered. There's a well-regarded book called Analysis by Its History, but I haven't read it. There's another called Understanding Analysis by Stephen Abbott that I recommend if you want to regroup before attacking baby Rudin again.
一本很有趣的补充读物是《从历史看分析》（Analysis by Its History），它深入剖析了经典分析学究竟是如何发展起来的。作为入门教材可能不太合适，但它提供了一些背景知识，能让你了解现代定义所依托的那些直觉直观。
An interesting supplementary book is "Analysis by Its History" that gives insight into how classical analysis was actually developed. Not so great to learn from initially, but gives some background on the intuitions from which the modern definitions are based.