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For centuries, mathematicians have tried to prove that Euler’s fluid equations can produce nonsensical answers. A new approach to machine learning has researchers betting that “blowup” is near.

Learn the magic and math of how to win games when your opponent goes first.

Steven Strogatz explores the mysteries of knots with the mathematicians Colin Adams and Lisa Piccirillo.

The result could help researchers answer a larger question about flattening objects from the fourth dimension to the third dimension.

Lillian Pierce wants to transform access to the world of mathematics, while making headway on problems that bridge the discrete and continuous.

Play this simple math game with your friends to gain insights into fundamental principles of graph theory.

The American mathematician invented entire new ways to understand shapes and spaces.

The noted mathematician and author Steven Strogatz explains how the conversations with experts in his new *Quanta Magazine* podcast address his lifelong fascination with timeless mysteries.

A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of unit fractions.