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While mathematics gives us elegant explanations for many physical phenomena, real-world situations often require us to scramble through dense numerical thickets.

The noted mathematician and author Steven Strogatz explains why he wanted to share intimate conversations with leading researchers from diverse fields in his new podcast.

A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.

No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer.

Mathematicians and computer scientists made big progress in number theory, graph theory, machine learning and quantum computing, even as they reexamined our fundamental understanding of mathematics and neural networks.

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.

Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades.

Many of us are drawn to beauty in mathematics. But is that the way nature really works?

We finally know how big a set of numbers can get before it has to contain a pattern known as a “polynomial progression.”

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