In order to finish a race, a runner must first run half the total distance. Then run half of the remaining distance, and then half of the distance remaining after that. Can they ever finish the race?
A self-taught genius from India and one of the greatest mathematicians of the 20th century. He believed mathematical ideas were visions from God, giving him a unique style of maths that helped solve problems Western mathematicians couldn’t.
Pythagoras was an ancient Greek philosopher who discovered the mathematical structure behind music during the 6th century BC. He also came up with the famous theorem for the sides of a right-angled triangle: a² + b² = c².
Proof is the foundation of all mathematics. Beginning with a set of reasonable assumptions, a proof follows logical steps that demonstrate a result that must be true. Without this logical process, mathematicians could not build on the work of others and the whole of maths would come crumbling down.
What degree to take at university is an important decision, and it can be a difficult one. Even if you know that you would like to do something related to maths, you still have to decide exactly what kind of degree it should be.