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Hi all, For any of you that are interested in some notes that are accessible to people with a good grasp of A level maths. These notes contain a wide range of mathematical topics that are deeply interesting and typically aren’t covered in school, but highlight the beauty of mathematics without having to go tooContinue reading “The Final Maths Society Post”

Behold! A whole year of maths society talks. Enjoy…

Since I last posted here, much has happened at maths society: we had a great talk on the zeta function by Wren, we had a saga about Fibonacci numbers and the golden ratio (and similar business with the silver ratio and Pell numbers and then generalising that further) and then had a talk on theContinue reading “Maths Society Update:”

This week at maths society, we discussed Newton’s fractal, and a very surprising connection to the Mandelbrot set that it has too. Please enjoy both these notes and the notes from the entire half term, where the theme (accidentally almost) became dynamical systems.

In maths society this week, we discussed complex dynamics and took a tour through some of the basics in this field of maths including the very famous Mandelbrot set. Attached are the notes.

In the first week of maths society, we discussed the Collatz conjecture and why it could be true or untrue. Attached are the summary notes which also contain a link to a video summary as well.

(Shoutout to camelman for the problem) The problem: Given a pizza, what is the most amount of slices one can obtain by cutting it with straight lines times? Some experimentation: The way to generate the most slices: The trick for getting as many slices as possible every time is to draw a line that intersectsContinue reading “Pizza Problem Posed to me by an Egyptian guy”

Throughout the last year, a certain game has popped up in my mind multiple times, haunting me- generalising 21 dares. I am pleased to report that the problem is solved. Introduction Recall the famous game known as “21 dares”, wherein 2 people may add an integer between 1 and 3 (starting from 0) and whoeverContinue reading “21 Dares”

Following the video I made (link and notes above) about how RH can be restated via topology, I decided to follow it up with a little addendum- two other connections (not as deep) between number theory and topology. Infinitude of primes Firstly, one can show the infinitude of primes using topology. More precisely, we willContinue reading “A Couple of Other Connections Between Number Theory and Topology”