Mathematics is full of weird number systems that most people have never heard of and would have trouble even conceptualizing. But rational numbers are familiar. They’re the counting numbers and the ...

The mathematical physics underpinning electromagnetic fields and wave equations provides a rigorous framework for understanding the behaviour of electric and magnetic phenomena in both classical and ...

More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

In It Must Be Beautiful: Great Equations of Modern Science, Graham Farmelo assembled and edited essays on 11 great equations of the 20th century. Six are from physics: E = hf, E = mc 2, Einstein’s ...

The course is devoted to analytical methods for partial differential equations of mathematical physics. Review of separation of variables. Laplace Equation: potential theory, eigenfunction expansions, ...

It has long been a mystery why pure math can reveal so much about the nature of the physical world. Antimatter was discovered in Paul Dirac’s equations before being detected in cosmic rays. Quarks ...

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 ...

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 ...

A former graduate student reflects on how Isadore Singer, who died on February 11, brought together mathematicians, physicists and anyone else interested in the deeper connections between diverse ...

Why is it that particular equations, formulas and expressions become icons, asks Robert P Crease For some people this expression, named after the 18th-century Swiss mathematician Leonhard Euler, even ...