Methods for solving linear, ordinary, and partial differential equations of mathematical physics. Green's functions, distribution theory, integral equations, transforms, potential theory, diffusion ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? A new paper without peer review says physics equations follow a formula of their own.

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New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.” In 2014, a graduate student at the University of Waterloo, ...

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When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...

This article is the first part of a series about quantum field theory published by Quanta Magazine. Other stories in the series can be found here. Over the past century, quantum field theory has ...