Proof That The Sum The First N Odd Integers is a Square

The sum of the first n odd integers is a square. This is a theorem and can easily be proven if you have already learned proof by mathematical induction. Even though it sounds like a boring theorem, it is actually very interesting if represented visually. Consider the following diagrams and their numerical representations.   Can […]
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Video: The Man Behind the Proof of the Fermat’s Last Theorem

The Fermat’s Last Theorem was proposed by French mathematician Pierre de Fermat in 1637.  It was one of the most difficult problems in the history of mathematics. The Fermat’s Last Theorem is related to Pythagorean Theorem. Recall that the Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse […]
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A Mathematical Proof that i^i is a Real Number

If you have been introduced to Complex Numbers, then you know that .  Operations on give both real and complex results. For instance, and . But one of the surprising results is the value of . In this post, we are going to show that is a real number. The proof is credited to Nick […]
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