Tags » Theorem

F.T.A. via Complex Analysis

Although this requires a bit of knowledge on Complex Anlaysis, I recently discovered this new way to prove the Fundamental Theorem of Algebra and I couldn’t help but share it. 280 more words


The Limits of Mixology

I want to say a few words about the Brouwer fixed point theorem. This was one of the early achievements of algebraic topology — which sounds scary — but bear with me. 558 more words


Learning Points from Eduardo Sáenz de Cabezón's TEDx Talk on "Math is Forever"

If you have ever wondered why you would ever need to solve differential equations in real life, especially when you are stumped by a particularly difficult one in your exams, you are not alone. 132 more words

TED Talk

The Power Theorem


    Belief, being the singular most powerful thing in the universe, has limitless examples proving it’s likelihood. Synonyms can include Hope and Faith however all three serve the one idea: that power lies not in anything else but human consciousness.

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Pythagoras and a missing length...

Pythagoras was a philosopher, teacher, and a great mathematician. Though there are a lot of mathematicians contributed to Geometry, it was this theorem that changed the mathematics completely. 148 more words


The Proofs for Pythagoras

Pythagorean Theorem, a2 + b2 = c2 .

One of the most well known equation stating that in a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. 297 more words


Fermat’s Little Theorem: proof by necklaces

It’s time for our second proof of Fermat’s Little Theorem, this time using a proof by necklaces. As you know, proof by necklaces is a very standard technique for… wait, what do you mean, you’ve never heard of proof by necklaces?! 896 more words

Number Theory