Enjoy the third 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 derives the Navier-Stokes equations by consideration of the forces acting on a parcel of fluid.

This essay explores some of the famous Ancient Greek geometry problems and how the tools of Field Theory and Origami can be used to solve them.

This essay looks at the properties of prime numbers, primality tests, and introduces some famous prime numbers with links to satanic worship.

This essay investigates the Fibonacci sequence and its relationship to the golden ratio, the golden spiral and irrationality.

This essay explores the relationship between maths and music through scales, waves and Fourier analysis.

This essay explains how dimensional analysis works and demonstrates its value when conducting experiments.

This essay invites you to try your hand at calculating in base 6 using a specially designed abacus.

This essay discusses Bayes theorem in probability through examples and real-world applications.

This essay takes a detailed look at Fourier Analysis and how it enables any function to be expressed as an infinite sum of sines and cosines.

This essay describes a hypothetical scenario where you are a contestant on a game show requiring you to solve a series of problems in know theory to win a cash prize.

This essay provides a history of cryptography through the ages, and explains the recent method of elliptic curve encryption used in blockchain technology.

This essay conducts a statistical investigation into the likelihood of a stroke disqualification based on the lane you are swimming in.

This essay questions our assumption that 1 + 1 = 2 and explores some of the philosophical arguments around numbers.

This essay explains how Fermi estimation works and tells the story of the man after which they are named.

This essay provides a detailed overview of how derivatives work, and why Leibniz’s notation best captures their properties.