Math

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

Noether's work helped prove the conservation of energy in physics, a key foundation for Einstein's theory of relativity

The quest to approximate irrational numbers with fractions reveals hidden patterns, surprising hierarchies and enduring mathematical mysteries

Why the human brain can't fathom what it means to be a trillionaire

Some mathematicians have predicted when humanity’s downfall might occur—though the circumstances are unspecified

Find the lengths of the sides of the square in this math puzzle

Creating artificial-intelligence tools for cancer detection

The mathematician and former NFL player on the benefits of having a broad background for young people who are interested in science

The prolific mathematician discusses the role culture plays in understanding and appreciating science

Mikhail Verbitsky was detained at an Armenian airport last Thursday on charges of inciting terrorism

Mathematicians have considered how to watch every corner of a space—but soccer adds moving players, blocked views and constant action

New results challenge AI’s promise for solving how fluids swirl—and suggest a more human path forward