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.

A continuous function is exactly what it sounds like — a function that has no gaps or jumps. You can trace a path from any point on such a function to any other without lifting your pencil. Calculus ...

Turin-based designers Yet I Matilde created Continuous Function, a furniture line made from natural fabrics.

Ramasamy Jesuraj, Continuous Functions on Multipolar Sets, Proceedings of the American Mathematical Society, Vol. 99, No. 2 (Feb., 1987), pp. 331-339 ...

Robert L. Blair, Extensions of Continuous Functions from Dense Subspaces, Proceedings of the American Mathematical Society, Vol. 54, No. 1 (Jan., 1976), pp. 355-359 ...

All prerequisite courses must be passed with a grade of C- or better. For official course descriptions, please see the current CU-Boulder Catalog. MATH 3001 Analysis 1 Provides a rigorous treatment of ...