George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they perform. By Siobhan Roberts A few weeks ago, a high school student emailed Martin ...

The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of ...

1. The Pythagorean Theorem -- 2. Ceva's Theorem -- 3. Perpendicular Bisectors; Concurrence -- 4. The Nine-Point Circle and Euler Line -- 5. The Taylor Circle -- 6. Coordinate Systems with Respect to a ...