Discover how the Dutch Book Theorem reveals profit opportunities in betting and finance when probabilities are misjudged.

“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

Calculus is the study of change. More specifically, it is a method for understanding rates of change. If you know an object’s velocity and want to calculate its acceleration, then you need calculus ...

Noether's theorem is a thread woven into the fabric of the science. We are able to understand the world because it is predictable. If we drop a rubber ball, it falls down rather than flying up. But ...

Australian National University provides funding as a member of The Conversation AU. Recently, as a community ambassador for ANU Student Equity, I took to a local secondary school to talk maths with a ...

Use Pythagoras’ theorem to show a triangle is right-angled or to find one side of a right-angled triangle when two sides are known. Make sure you are confident at substituting into and manipulating ...

The textbook uses examples from Indian monuments and cultural contexts to explain key concepts of the subject, including Baudhayana’s theorem on right-angled triangles ...