Mathematics is distinguished from the sciences by the freedom it enjoys in choosing basic assumptions from which consequences can be deduced by applying the laws of logic. We call the basic ...

Two US college students, who discovered a new way to prove Pythagoras' famous 2,000-year-old theorem in 2022 have now come up with five different ways of solving the problem using trigonometry. Their ...

I have very fond memories of high school geometry. Memorizing theorems wasn't too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were scattered ...

Two New Orleans teens joined an exclusive club of mathematicians when they discovered trigonometry proofs for Pythagorean's Theorem. Two teens in New Orleans joined an exclusive club of mathematicians ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...

New computer tools have the potential to revolutionize the practice of mathematics by providing more-reliable proofs of mathematical results than have ever been possible in the history of humankind.

An honours course in mathematics gives the picture of what goes on behind the scenes. To a large extent, it involves proving theorems that students would have already used as part of their school ...

The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This ...

A number of results on the distributions of least squares estimators and their associated t and F statistics are derived via the QR algorithm. Given the initial QR transformation, the proofs are ...