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 ...

analysis techniques based on counting methods and recurrence equations; trees and more general graphs. DETAILED COURSE TOPICS: All sections will deal with topics from Part I (Proofs and Mathematical ...

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

In the 1920s, two mathematicians working on separate continents proposed the same set of mathematical equations for ...

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 ...

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

However, many of the problems he worked tirelessly on had already been solved years earlier -- a consequence of his limited access to mathematical resources. For Ramanujan, it was uncharted ...

They may also conduct simulations, developing mathematical equations that predict how compounds will react over time. Many who work in the lab say their time is divided between the bench and their ...