In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

In this video, we provide essential "math help" by demonstrating how to "solve" various algebraic and "quadratic equations".

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Representation theory transforms abstract algebra groups into things like simpler ...

AI solved a math problem that stumped experts for 80 years, revealing deeper lessons about human cognition, focus, and ...

In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao's breakthrough is promising, the problem isn't ...

Historically speaking, Algebra 1 has been reserved for ninth or tenth grade, and research indicates the majority of students ...

Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

Algebraic geometry and number theory intersect in the study of solutions to polynomial equations and their symmetries. Algebraic geometry provides a language of schemes and varieties to capture ...