It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An ...

Proceedings of the American Mathematical Society, Vol. 79, No. 3 (Jul., 1980), pp. 441-444 (4 pages) Let $G$ denote a compact abelian group, and $A^p$ the space of ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American On this very special Valentine’s Day episode ...

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 ...