Enjoy the sixth group of essays from the 2024 TRM Essay Competition, now proudly held in partnership with the Oxford University Department for Continuing Education. The showcase will take place throughout June and July with the winners being announced in August.

If you enjoy reading any of the essays, be sure to leave a comment to let the author know!

This essay dissects the many mathematical elements of the Rubik’s cube, including how many different possible combinations there are for a single cube.

This essay explores some of the maths that underpins the modern-day navigation systems we all take for granted.

This essay derives the equation for Simple Harmonic Motion from first principles and explore some of its applications in engineering architecture.

This essay provides a detailed overview of several ways in which maths can be applied to warfare.

This essay calculates how much money you can expect to earn as a creator on YouTube.

This essay explores the imperfections of all mathematical systems, and argues that they add to the beauty of the subject, rather than taking away from it.

This essay conducts a survey to test the hypothesis that an individuals mathematical knowledge influences the way in which they perceive the world around them.

This essay introduces a range of mathematical topics which are all linked by the search for patterns in data.

This essay applies the techniques of probability to a range of everyday situations to see what we can learn about the likelihood of their outcomes.

This essay derives the now infamous result of the sum of all natural numbers being equal to -1/12.

This essay provides a step-by-step breakdown of the Basel problem, which calculates the sum of the square reciprocals as pi-squared over 6.

This essay investigates he mathematical definition of ’roundness’ and argues why it is an interesting and important topic.

This essay provides an introduction to the subject of topology via an interesting result about the temperature and pressure anywhere on Earth.

This essay explores the concept of ‘proof by computer’ and how future developments may shape the mathematical landscape.

This essay asks way circles are so prevalent in everyday life.