Alexander Farrugia – Medium

Alexander Farrugia

Alexander Farrugia

Applications of the Parabola

A parabola has a very interesting feature. It has a point called the focus which has the following property: if you draw any straight line…

Sep 19, 2022

Applications of the Parabola

Sep 19, 2022

Alexander Farrugia

You don’t need to know a lot of maths to do mathematics

Honestly, you don’t. To prove something, you barely need any of what most people think about when they hear the word ‘maths’ (numbers…

Aug 26, 2022

You don’t need to know a lot of maths to do mathematics

Aug 26, 2022

Alexander Farrugia

My Summer of Mathematics Exposition 2 Submission

Last June, 3blue1brown posted a video on the Summer of Mathematics Exposition 2 (SoME2), in which Grant Sanderson invited mathematics…

Aug 17, 2022

Aug 17, 2022

Alexander Farrugia

The Missing Square Puzzle

Choose four positive whole numbers a,b,c,d such that ad−bc=1. Try not to choose obvious numbers such as 1,1,1,2. Try to find more difficult…

Aug 12, 2022

The Missing Square Puzzle

Aug 12, 2022

Alexander Farrugia

Why Radians?

Yeah, why? After all, degrees work fine. Why do we need to split one revolution into 2π pieces? That doesn’t even make sense.

Aug 5, 2022

Aug 5, 2022

Alexander Farrugia

Complex Numbers: why do we need a solution for x²=-1?

Prior to Cardano’s and Tartaglia’s work in the sixteenth century, mathematicians happily claimed that square roots of negative numbers did…

Jul 27, 2022

Jul 27, 2022

Alexander Farrugia

Proving that sqrt(a)+sqrt(b) and sqrt(a)-sqrt(b) are irrational

We assume that a and b are positive integers and that at least one of sqrt(a) or sqrt(b) is not an integer. Let x be the number…

Jul 22, 2022

Proving that sqrt(a)+sqrt(b) and sqrt(a)-sqrt(b) are irrational

Jul 22, 2022

Alexander Farrugia

Intuitionistic Logic

Consider the following statements:

Jul 13, 2022

Intuitionistic Logic

Jul 13, 2022

Alexander Farrugia

Why am I doing Mathematics?

Often, I ask myself what am I doing exactly, when I’m doing mathematics. Am I solving problems? Discovering something? Wasting my time?

Jul 9, 2022

Jul 9, 2022

Alexander Farrugia

Alexander Farrugia

I am a mathematics senior lecturer at the Ġ.F. Abela Junior College, Malta, and a mathematician specializing in spectral and algebraic graph theory.

Following

Help
Status
About
Careers
Press
Blog
Privacy
Terms
Text to speech
Teams