To tell truth from fiction, start with quantitative thinking, argues the mathematician Rebecca Goldin.
The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded.
A series of new papers describes how to reconstruct key dynamical systems with relatively little data.
The spatial intuition behind a three-point turn offers an on-ramp to a century-old geometry problem.
Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?
New tools make it possible to detect hidden manipulation of maps.
Mathematical logic and the code of computer programs are, in an exact way, mirror images of each other.
All infinities go on forever, so how is it possible for some infinities to be larger than others? The mathematician Justin Moore discusses the mysteries of infinity with Steven Strogatz.
The numbers count a variety of seemingly unrelated mathematical structures.