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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