Mathematical patterns reveal profound truths about the universe and, surprisingly, about our inner lives as well. These five visual math concepts offer unique frameworks for understanding our behavior ...

Top artificial intelligence systems now ace many textbook-style math questions, yet they still fall apart on genuinely new problems. The gap between polished performance on familiar benchmarks and ...

A ripple tells you something happened, but not exactly what. That is the core problem behind a hard class of equations that scientists use when they try to work backward from what they can measure to ...

It might sound strange to think about physics (which often involves a lot of theory and hypotheticals) helping people solve mathematics problems. However, physics follows many math patterns very ...

A pattern is something that repeats, like the beat of a drum, the stripes on a zebra, the phases of the moon, or the clauses of a sentence. This course introduces mathematical methods for composing ...