Complex Numbers as Matrices - Euler's Identity Euler's Identity below is regarded as one of the most beautiful equations in mathematics as it combines five of the most important constants in mathematics: I'm going to explore whether we can still see this relationship hold when we represent complex numbers as matrices. Complex Numbers as Matrices... Continue Reading →
The Chinese Postman Problem
https://www.youtube.com/watch?v=spaUY8PlyYA The Chinese Postman Problem There is a fantastic pdf resource from Suffolk Maths which goes into a lot of detail on this topic - and I will base my post on their resource. Visit their site for a more in-depth treatment. The Chinese Postman Problem was first posed by a Chinese mathematician in... Continue Reading →
Investigation into the Amazing e
e's are good - He's Leonard Euler. Along with pi, e is one of the most important constants in mathematics. It is an irrational number which carries on forever. The first few digits are 2.718281828459045235... Leonard Euler e is sometime named after Leonard Euler (Euler’s number). He wasn't the first mathematician to discover e -... Continue Reading →
e’s are good – He’s Leonard Euler.
e's are good - He's Leonard Euler. Having recently starting a topic on the exponential function, I was really struggling to find some good resources online - which is pretty surprising given that e is one of the most important and useful numbers in mathematics. So, here are some possible approaches. 1) e memorisation challenge. This... Continue Reading →