Bijection from Evens to Natural Numbers (With Proof!)

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We find a bijection from the set of even numbers to the set of natural numbers, and we prove it is in fact a bijection. Recall a bijection is a function that is both injective and surjective. So, we are finding a function from the evens to the naturals so that distinct evens are mapped to distinct naturals and every natural number is mapped to by some even number. It isn't too difficult, but there is a lot to do!

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Proving that a function is bijective is pretty straightforward, I’m not saying it’s easy, but there is some method in it you can master. Finding that bijective function, on the other hand, seems more like a try and error task, isn’t it?

PAUNOMOLUSCO
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