Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

A series of unsolved puzzles in number theory called Diophantine problems date back to 3,700 years ago. Over the years mathematicians have whittled away at them, and recent work has made significant ...

Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years. The journal ...

The nature of singularities of solutions of equations has long been used as a tool for detecting integrability. For ordinary differential equations one often looks for equations with solutions that ...

This is a preview. Log in through your library . Abstract Let $A$ be an $m \times n$ matrix of rank $r$ with integer entries. It is proved that if the system $Ax = 0 ...