There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no ...

Emily Riehl thinks hard about objects that don't exist in the material world yet mysteriously seem to underlie many things that do. These objects have no concrete existence of their own, but they do ...

In 1915, the Mathematical Association of America formed to encourage advanced mathematics teaching in the United States. Members received a journal called The American Mathematical Monthly and ...

Mathematics is an important aspect of learning. While most despise studying numbers and theorems, mathematics is—as some have poetically put it—the language of the universe. An understanding of ...

Archaeologists have dug up many ancient, notched bones all around the world, but the Ishango bone is different. On it, there are markings that suggest its owners were making the first attempts at ...

Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space.