"Of all the equations of physics, perhaps the most magical is the Dirac equation." When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. British ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...

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An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics. Mathematics is full of weird number systems that most ...

In this paper we investigate the behavior of numerical ODE methods for the solution of systems of differential equations coupled with algebraic constraints. Systems of this form arise frequently in ...

In 1843, William Rowan Hamilton had a four-dimensional flash of insight that still shapes our three-dimensional world. When you purchase through links on our site, we may earn an affiliate commission.

This jingle has helped generations of algebra students recall the quadratic formula that solves every equation of the form $latex ax^2+bx+c=0$. The formula is as ...

For almost two centuries, mathematicians believed there was no general solution for certain high-degree polynomial equations. Now, two Australian researchers—Norman Wildberger and Dean Rubine—have ...

ChatGPT, Photomath, Symbolab, and other artificial intelligence-powered platforms can solve a complicated math equation in just seconds—and provide a step-by-step explanation of the answer. That power ...