Normed linear spaces provide the foundational setting for modern functional analysis by equipping vector spaces with a notion of length. Within these spaces, orthogonality extends the Euclidean ...

Often in algebra we have an equation that we want to solve. This frequently involves manipulating the equation in various different ways to achieve a desired outcome. Key fact The golden rule when ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...