A nonlinear version of Ovcyannikov's theorem is proved. If $F(u, t)$ is an analytic function of $t$ real or complex and of $u$ varying in a scale of Banach spaces ...

Alexander Grothendieck was a titan in his field, making deep connections that fuelled a revolution in mathematics, before ...

Stephen Hawking’s 50-year-old theorem on how black holes merge together has been successfully tested thanks to huge advances in gravitational wave astronomy, which helped astronomers catch the waves ...

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very ...

Ludwig von Mises was born 144 years ago today. His economic masterpieces are as relevant and powerful today as when they were ...

A scholar from Kenyon College, Professor of Mathematics Carol Schumacher, is coming to Bates to give two back-to-back talks ...

Emmy Noether is the most accomplished mathematician you probably never heard of. She helped Albert Einstein with the math ...

Abstract: Adaptive filters utilizing the low-order moments hidden in robust loss functions have achieved desirable performance under Gaussian input and impulsive noises. However, when the input cannot ...

The influence of Ronald Coase's 1960 paper, "The Problem of Social Cost," cannot be overstated. Originally published in the Law School's own Journal of Law and Economics, of which Coase was editor ...

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the ...

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' lecture notes at the Department of Mathematics, National Chung Cheng University of ...

Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, ...