……那些把微积分变成一连串枯燥例题展示的教科书,学起来的目标好像就只是为了成为 pattern-matching 的高手。比较新近、风格更独特但写得极棒的一本是 T.W. Körner 写的《Calculus for the Ambitious》。我觉得一个有自驱力的高中生完全能靠这本书学会微积分。
…textbooks that make calculus into a boring parade of examples, where the goal of the game seems to be becoming an ace at pattern-matching. More recent, more idiosyncratic but quite nice is T.W. Körner's Calculus for the Ambitious. I could see a motivated high-schooler learn calculus from this.
T. W. Körner 写的《The Pleasures of Counting》。如果你想找本更偏向数学分析的书,我看到他也写过一本《Calculus for the Ambitious》,但我自己没读过。
The Pleasures of Counting by T. W. Körner. If you want something more oriented towards analysis, I see he also authored a Calculus for the Ambitious but I have no experience with it.
……那些把微积分变成一连串枯燥例题展示的教科书,学起来的目标好像就只是为了成为 pattern-matching 的高手。比较新近、风格更独特但写得极棒的一本是 T.W. Körner 写的《Calculus for the Ambitious》。我觉得一个有自驱力的高中生完全能靠这本书学会微积分。
…textbooks that make calculus into a boring parade of examples, where the goal of the game seems to be becoming an ace at pattern-matching. More recent, more idiosyncratic but quite nice is T.W. Körner's Calculus for the Ambitious. I could see a motivated high-schooler learn calculus from this.
T. W. Körner 写的《The Pleasures of Counting》。如果你想找本更偏向数学分析的书,我看到他也写过一本《Calculus for the Ambitious》,但我自己没读过。
The Pleasures of Counting by T. W. Körner. If you want something more oriented towards analysis, I see he also authored a Calculus for the Ambitious but I have no experience with it.