Scientists have finally figured out a way to connect the dots between the macroscopic and the microscopic worlds. Their ...

A new study suggests Vincent van Gogh showed a deep, intuitive understanding of the mathematical structure of turbulence in ...

Simple words like "force" and "particle" can mislead us as to what reality is actually like. Physicist Matt Strassler unpacks ...

From Pythagoras to Schrödinger, equations have not only advanced scientific understanding but have also driven technological ...

it] is further complemented by adding a discussion of historical developments of statistical physics and financial theory, taking into account their similarities and differences. … Stochastic Calculus ...

New mathematics offers a framework for a "unified theory" that could allow new methods of resolving several of the universe’s ...

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 a groundbreaking development, scientists have successfully established a mathematical link between Einstein's theory of ...

Although systems consisting of many interacting small particles can be highly complex and chaotic, some can nonetheless be ...

When distant exoplanets pass in front of their star, they block a small portion of the starlight, while an even smaller portion penetrates the planetary atmosphere. This interaction leads to ...

is in alignment with quantum physics —- the branch of science that describes the behavior of electrons, photons, and other ...