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Maths in a minute
Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words. From symmetry to Euclid's axioms, and from binary numbers to the prosecutor's fallacy, learn some maths without too much effort.
Maths in a minute: Homotopy 
The concept of homotopy is a great example of how the language of maths can make intuition precise.
Maths in a minute: Peano arithmetic 
How would you explain the natural numbers to an alien devoid of a number instinct? You could try Peano arithmetic...
Maths in a minute: Thermodynamics 
Tea gone cold? Don't worry, you can cheer yourself up with the theory of thermodynamics.
Maths in a minute: Numerical weather prediction 
How does your phone know what the weather's going to be like?
Maths in a minute: Correlation versus causation 
Wet cats don't cause umbrellas and umbrellas don't cause wet cats.
Maths in a minute: Dispersion 
If you've ever marvelled at a rainbow, you have witnessed dispersion in action!
Maths in a minute: Combinatorics 
Whether you want to understand viruses, win at lotto or solve a rubik's cube – you'll need some help from combinatorics.
Maths in a minute: Utility theory 
A hundred pounds is a lot more to someone who's poor than to a millionaire. But how do you measure such differences? Utility theory has the answer.
Maths in a minute: Limits 
Find out about the beautifully intuitive concept that lies at the heart of calculus.
Maths in a minute: Topology 
When you let go of the notions of distance, area, and angles, all you are left with is holes.