Fermat's Last Theorem

Claudius Ptolemy was born around 85AD in Egypt. He lived during a time of Hellenized Egypt but very little is known of his personal life. H...

Hipparchus is considered by many to be the father of trigonometry because he was the first to organize measurements in relation to angles in...

Archimedes was born around 287 B.C. in Syracuse. His father was an astronomer and it is believed that Archimedes was a relative of the King ...

Euclid of Alexandria is perhaps the greatest math teacher of all time. His textbook The Elements is the perhaps the most influential math ...

When Leonhard Euler came up with his Formula and his Identity , he stood on the shoulders of many giants. In the next few blogs, I plan to...

Today, it was announced that Lennart Carleson has won the Abel Prize for 2006 for his work on harmonic analysis and the theory of smooth dy...

The Taylor Series is one of the most useful results in all of mathematics. The method in all its generality was first presented by Brook Tay...

In today's blog, I will go over Taylor's Formula . This is a theorem that can be used to establish the Taylor Series and the MacLa...

Today's proof for Euler's Formula is based on the Taylor's Series . Euler's Formula is the equation: e ix = cosx + isinx ...

One of the simplest and most elegant equations is Euler's Identity : e πi + 1 = 0 . It states that Euler's number e (which is equa...

In Ernst Kummer's groundbreaking partial proof on Fermat's Last Theorem, he used cyclotomic integers . Cyclotomic integers are base...

In today's blog I continue the proof for the Principle of Quadratic Reciprocity . If you are not familiar with the concepts of quadrat...

In today's blog I continue the proof for the Principle of Quadratic Reciprocity . If you are not familiar with the concepts of quadrat...

In today's blog I continue the proof for the Principle of Quadratic Reciprocity . If you are not familiar with the concepts of quadrat...