A Mathematical Olympiad Companion __exclusive__ Today

Olympiad problems are often designed to look novel and unfamiliar. A companion focuses on teaching the art of isomorphism —showing how a seemingly impossible geometry problem is actually just a variation of a classic algebraic inequality, or how a number theory puzzle is a disguised version of the Pigeonhole Principle. It teaches students to strip away the "costume" of the problem to reveal the familiar math underneath.

An Olympiad companion distinguishes itself by saying, "Here is what you probably tried first, and here is why it doesn't work." a mathematical olympiad companion

Sometimes, it's helpful to work backwards from the desired conclusion or assume the opposite of what you want to prove. This can lead to: Olympiad problems are often designed to look novel