Martin McBrideinGraphic mathsZermelo-Fraenkel set theoryIn this article, we will look at Zermelo-Fraenkel set theory, why it is necessary, and what it is. And as an example, we will see how it…·12 min read·1 day ago--1--1

Martin McBrideinGraphic mathsSurprise exam paradoxThe surprise exam paradox is a paradox that relates to our knowledge of future events. It is also known as the unexpected hanging paradox…·6 min read·1 day ago--2--2

Martin McBrideinGraphic mathsFourier’s ingenious proof that e is irrationalEuler’s number, e, is an important number in mathematics that appears in many contexts.·7 min read·Jun 10, 2024--2--2

Martin McBrideinTechnological SingularityGetting Started with LaTeX to Write a Maths BookI recently decided to write a book, based in part on articles I have published here.·9 min read·May 31, 2024--6--6

Martin McBrideinTechnological SingularityIntegration by parts — LIATE ruleThe technique of integration by parts can often be used for solving complex integrals, particularly if we need to integrate a function…·9 min read·May 20, 2024--1--1

Martin McBrideinTechnological SingularityDiagonalising MatricesA diagonal matrix is a square matrix where every element except the leading diagonal is zero.·11 min read·May 14, 2024--2--2

Martin McBrideinTechnological SingularityNumerical Integration — Five TechniquesIn mathematics, integration is the opposite process to differentiation. Where differentiation can be used to find the rate of change of a…·11 min read·May 7, 2024--2--2

Martin McBrideinTechnological SingularityBinomial DistributionSuppose you rolled a fair dice, ten times. What is the probability that you would throw a six exactly three times?·14 min read·Apr 29, 2024----

Martin McBrideinTechnological SingularityDe Moivre’s TheoremDe Moivre’s theorem can be simply stated as:·9 min read·Apr 22, 2024--1--1

Martin McBrideinTechnological SingularityIntroduction to EigenvectorsThe product of a square matrix A and a column vector v is a new column vector. The new vector will normally have a different direction from…·9 min read·Apr 19, 2024--3--3