Divide any circle’s circumference by its diameter and you get pi. But what, exactly, are its digits? Measuring physical circles won’t tell you—your tools are too clunky to discover pi’s endless ...

Alfredo has a PhD in Astrophysics and a Master's in Quantum Fields and Fundamental Forces from Imperial College London. Alfredo has a PhD in Astrophysics and a Master's in Quantum Fields and ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

In 1655 the English mathematician John Wallis published a book in which he derived a formula for pi as the product of an infinite series of ratios. Now researchers from the University of Rochester, 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.

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 ...

Many books about science are meant to be pleasure reading. Such books attempt to convey the wonder and fascination and excitement of science, and ideally some of the substance as well. After all, good ...

Breakthroughs in physics sometimes require an assist from the field of mathematics—and vice versa. In 1912, Albert Einstein, then a 33-year-old theoretical physicist at the Eidgenössische Technische ...

In 1655 the English mathematician John Wallis published a book in which he derived a formula for pi as the product of an infinite series of ratios. Now researchers, in a surprise discovery, have found ...

Some math experts are worried the computer-based testing platforms that PARCC and Smarter Balanced plan to use for common-core tests this spring will make it tough for students to show what they know, ...

Forbes contributors publish independent expert analyses and insights. The Universe is out there, waiting for you to discover it. When it comes to describing the physical world, we can do it ...