Starting with this issue we will run a regular column on the art and science of proof, and in honour of George Pólya’s book, ‘How To Solve It’, we have named it "How To Prove It." There is of course no single way to prove things in mathematics. But there are many general ideas and strategies that do help, and that’s what this column is about.

Numbers have been a subject of fascination from the most ancient times, and people keep coming up with families of numbers: integers, rational numbers, numbers, real numbers, complex numbers, prime numbers, Fermat numbers, Bernoulli numbers, . . . .
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