The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

The limit of a function is a fundamental concept in Calculus, defining the behavior of a function as the input approaches a specific value. The limit allows mathematicians to analyze functions near ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Ask the publishers to restore access to 500,000+ books. A line drawing of the Internet Archive headquarters building façade. An illustration of a heart shape "Donate to the archive" An illustration of ...

In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

Prerequisites: Credit for MATH 2312 with a grade of C- or higher, or a satisfactory score on a placement examination. Course Description: Calculus of single variable functions, limits, continuity, ...