During the latter part of the 20th century, string theory was put forward as a unifying theory of physics foundations. String ...

Masaki Kashiwara has won the 2025 Abel prize, seen by some as the Nobel of mathematics, for his contributions to algebraic ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

Under the hood, mathematical problems called partial differential equations ... the method solves the Fokker-Planck equation, where heat diffuses in a linear way, but there are additional terms ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Finding solutions to such equations ... known as partial differential equations (PDEs). Kashiwara's vital work on D-modules, a highly specific area of algebraic analysis involving linear PDEs ...