## How to Prove a Mathematical Theory

I found an excellent video titled How to Prove a Mathematical Theory by TED on introducing mathematical proofs. The video contains the definition of mathematical proofs, a brief history, and an example. A must see to mathematics students. Enjoy watching!
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## Proof that Square of Even Number Is Even

When we multiply an even number by itself, let see what happens. Let us have some examples. Notice that if we multiply even numbers by itself, the product is even. Now how do we prove that this is always true? Theorem: The square of an even number is even. Proof: Let be an even number. Then […]
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## Proof of Divisibility by 8

If you have read the discussion on divisibility by 4, the proof for divisibility by 8 is somewhat similar. To know that the number is divisible by 4, we just have to look at the last two digits. In divisibility by 8, we look at the last three digits. For example, the number 10938648 is divisible by […]
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