In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting "the definition" to the students as a monolithic absolute. We hope that this could be useful to other instructors wishing to follow this method of instruction. A poll run at the conclusion of the course indicates that students tend to favor infinitesimal definitions over epsilon, delta ones.

中文翻译：

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从毕达哥拉斯人和魏斯特拉斯主义者到真正的无穷微积分

在教授无穷微积分时，我们试图通过比较和对比各种定义来呈现诸如连续性和收敛性之类的基本概念，而不是将“定义”呈现给学生作为一个整体。我们希望这对希望遵循这种教学方法的其他教师有用。在课程结束时进行的民意测验表明，学生倾向于使用无穷小定义而不是ε定义。