Whether Achilles Could Catch Up the Turtle

Can a person chase up a turtle? This might sound like a very stupid question. However, this question had been disturbing mathematicians for many centuries. It is possible to solve the paradox of Achilles and the turtle with only high school knowledge. This is the beauty of calculus, the concept that mathematicians struggled to invent and improve. In more than 2000 years, mathematicians tried different ways to study and invent calculus, and the invention finally led to a revolution in the world of math.

例说循环论证之谬误

通过两个典型的例子探讨高等数学中循环论证之谬误.对相关错误进行分析,揭示循环论证的隐蔽性,以求引起师生在教学中对此类问题的重视.

微积分对自然科学发展的影响

从微积分的发展历史及各发展阶段数学家对微积分所引起的不同争论 。