maths@dover

Which one comes first? Head head tail OR Head tail tail?

Proof for the Basel Problem

From STEP

Fermat’s Last Theorem Pt.1

Discovery of Fermat’s Last Theorem

Solution to Problem A4 from 1999 Putnam Math Contest

By. Ajay Mohan

Elections — How do the numbers stack up?

Mathematics plays a large role in all parts of our lives, but…

Intricate visualizations of the Collatz Conjecture

Written By: Ishaana Rao

Real Life Exponentials

Accessible for all HS grades

We, humans, are unable to grasp the concept of how massive or tiny an item on either end of the scale really is. Our brains are not programmed to visualize this perfectly, as evolution did not deem it necessary. This is why we can’t appreciate how…

Deriving Trigonometry Identities

A visual representation of how are they formed. By: Vansh and Julia

A Fresh Polynomial Question

Accessible for all HS grades

Let p(x) be a real polynomial of degree n such that p(m) is integral for all integers m. Show that if q is a coefficient of p(x), then n!q is an integer.