The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

Anyone who’s ever seen a weather report, a stock market prediction, or a “flattening-the-curve” COVID-19 graph, has seen a mathematical model in action. Mathematical models can, for example, describe ...

A mathematician working at Anthropic says he used the AI model Claude Fable 5 to uncover a remarkably simple counterexample to the Jacobian conjecture, a famous problem that has resisted ...

Using tumor growth modeling and informed neural networks as early predictive clinical endpoints. 2007 Continuous dispersion for invasive motility. 2009 Invasive growth with cell density and oxygen.

For 31 years, the three-dimensional Ghys conjecture sat unresolved at the frontier of complex dynamical systems — elegantly stated, stubbornly resistant, open since Étienne Ghys first proposed it in ...