The natural logarithm is intimately related to the number e and that's how we learn about it at school. When it was first invented, though, people hadn't even heard of the number e and they weren't thinking about exponentiation either. How is that possible?

Georgian school maths: bushels of corn, kilderkins of beer and feeding soldiers. All without algebra!

Who knew that Robinson Crusoe contained a lost chapter about maths? Help us find the hidden mathematical references and win a prize!

A 1 in 14 million chance to win the lottery, a 5% risk of cancer, a 50:50 chance of heads on a coin — we deal with probabilities all the time, but do they actually mean anything? We explore the philosophy of probability and ask whether the probabilities that come up in physics differ from those in every day life.

The fact that a sizeable proportion of the financial workforce is made up of physicists is one of the industry's best-kept secrets. We talk to Laura Tadrowski, who has made the leap from physics to finance.

The Fibonacci sequence – 0, 1, 1, 2, 3, 5, 8, 13, ... – is one of the most famous pieces of mathematics. We see how these numbers appear in multiplying rabbits and bees, in the turns of sea shells and sunflower seeds, and how it all stemmed from a simple example in one of the most important books in Western mathematics.

Saul Schleimer and Henry Segerman show off some of their beautiful 3D printed mathematical structures.

Is the Universe finite or infinite? Is there infinity inside a black hole? Is space infinitely divisible or is there a shortest length? We talk to philosophers and physicists to find out.