In the 1920s, two mathematicians working on separate continents proposed the same set of mathematical equations for describing population growth and decline in biological systems. Alfred Lotka ...

Whether it's physical phenomena, share prices or climate models—many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to ...

People celebrate Pi Day on March 14th to honor the mathematical constant pi (π), which is used in many equations and ...

A Harvard scientist, Dr. Willie Soon, claims to have developed a mathematical formula that could prove the existence of God.

Google's second generation of its AI mathematics system combines a language model with a symbolic engine to solve complex geometry problems better than International Mathematical Olympiad (IMO) gold ...

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

An equation is a mathematical statement showing that two expressions are equal. The two expressions are linked with an equals symbol (=). The unknown variable (often the letter \(x\)) can take any ...

Today, so many new areas have sprouted that the term “mathematics” seems almost inadequate. A new phrase, “the mathematical sciences” has come into fashion to describe a broad discipline that includes ...

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 ...