Ever since Archimedes, mathematicians have been fascinated by equations that involve a difference between squares. Now two mathematicians have proven how often these equations have solutions, ...

In his introduction, author and educator Cochrane (The Thin Veil of London) acknowledges that this brief survey of 50 famous equations—E = mc2, of course, but also equations that are the basis for ...

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. For ...