晒一下我家书架上的“数学”专区，从我上高中、还没学微积分那会儿起，这里其实就基本没怎么变过：W.W. 索耶（W.W. Sawyer）的《微积分的奥秘》（What is Calculus About?）和《数学家的乐园》（Mathematician's Delight）；柯朗与罗宾（Courant and Robbins）的《什么是数学？》（What is Mathematics?）；霍格本（Hogben）的《大众数学》（Mathematics for the Million）；史坦豪斯（Steinhaus）的《数学万花筒》（Mathematical Snapshots）；艾瓦斯·彼得森（Ivars Peterson）的《数学旅行家》（The Mathematical Tourist）；戴维斯与赫什（Davis and Hersh）……
A snapshot of my bookshelf's "math" section, which really hasn't changed much since I was in high school and hadn't taken calculus: W.W. Sawyer, What is Calculus About? and Mathematician's Delight Courant and Robbins, What is Mathematics? Hogben, Mathematics for the Million Steinhaus, Mathematical Snapshots Ivars Peterson, The Mathematical Tourist Davis and Hersh,…
W. W. 索耶的《数学家的乐园》、《数学引桥》（Prelude to Mathematics）、《微积分的奥秘》。这是我见过最好的微积分入门书。当年我教微积分导论课的时候，把这几本书推荐给了我所有的学生。
W. W. Sawyer Mathematician's Delight Prelude to Mathematics What is Calculus About? This is best intro to calculus I ever saw. When I taught introductory calculus, I recommended it to all my students.
…took the exams and did much of the homework...) but my teachers (who were quite awesome) recognized that I was ahead of the class and enjoyed teaching myself, so they threw me books like PSSC Physics and What is Calculus About? and told me to have fun. That was, however, unofficial and sort of under the radar. I expect such a style of learning to continue to rise in popularity now that the Web is here. It's just easier than…
Good post. The only other Socratic book I own is "What is Calculus about" by W.W. Sawyer. It's more loosely Socratic though. There are paragraphs of text interspersed with questions that either ask you to look for a pattern, or else follow a statement to its logical conclusion.…
晒一下我家书架上的“数学”专区，从我上高中、还没学微积分那会儿起，这里其实就基本没怎么变过：W.W. 索耶（W.W. Sawyer）的《微积分的奥秘》（What is Calculus About?）和《数学家的乐园》（Mathematician's Delight）；柯朗与罗宾（Courant and Robbins）的《什么是数学？》（What is Mathematics?）；霍格本（Hogben）的《大众数学》（Mathematics for the Million）；史坦豪斯（Steinhaus）的《数学万花筒》（Mathematical Snapshots）；艾瓦斯·彼得森（Ivars Peterson）的《数学旅行家》（The Mathematical Tourist）；戴维斯与赫什（Davis and Hersh）……
A snapshot of my bookshelf's "math" section, which really hasn't changed much since I was in high school and hadn't taken calculus: W.W. Sawyer, What is Calculus About? and Mathematician's Delight Courant and Robbins, What is Mathematics? Hogben, Mathematics for the Million Steinhaus, Mathematical Snapshots Ivars Peterson, The Mathematical Tourist Davis and Hersh,…
W. W. 索耶的《数学家的乐园》、《数学引桥》（Prelude to Mathematics）、《微积分的奥秘》。这是我见过最好的微积分入门书。当年我教微积分导论课的时候，把这几本书推荐给了我所有的学生。
W. W. Sawyer Mathematician's Delight Prelude to Mathematics What is Calculus About? This is best intro to calculus I ever saw. When I taught introductory calculus, I recommended it to all my students.
……参加了考试，作业也做了大半……）但我的老师们（人都超好）发现我学得比全班都快，而且喜欢自学，于是他们就塞给我像《PSSC物理》（PSSC Physics）和《微积分的奥秘》这类书，让我自己玩去。不过那都是非官方的、私底下的搞法。现在有了互联网，我估计这种自学模式会越来越流行。毕竟比以前容易……
…took the exams and did much of the homework...) but my teachers (who were quite awesome) recognized that I was ahead of the class and enjoyed teaching myself, so they threw me books like PSSC Physics and What is Calculus About? and told me to have fun. That was, however, unofficial and sort of under the radar. I expect such a style of learning to continue to rise in popularity now that the Web is here. It's just easier than…
好帖。我手头唯一一本其他的苏格拉底式书籍就是 W.W. 索耶的《微积分的奥秘》了。不过它的苏格拉底风格相对松散一些。书里是在段落文本之间穿插一些提问，要么是让你寻找某种规律，要么是顺着某个命题推导到其逻辑结论。……
Good post. The only other Socratic book I own is "What is Calculus about" by W.W. Sawyer. It's more loosely Socratic though. There are paragraphs of text interspersed with questions that either ask you to look for a pattern, or else follow a statement to its logical conclusion.…