Martin McBrideinGraphic mathsFactors of a prime squared minus one — a surprising result?This is a past question from the Cambridge University Maths entrance interview. It is an interesting open-ended question with quite a…2d ago2d ago

Martin McBrideinGraphic mathsContinuous uniform distributionHere is a spinning wheel, that has a circumference exactly 1 metre. We will perform an experiment where we set the wheel spinning, and then…Jul 123Jul 123

Martin McBrideinGraphic mathsThe pi function — calculating factorials using integrationThe factorial function n!, is a well-known function that has many applications in mathematics. It is defined for non-negative integers as:Jul 53Jul 53

Martin McBrideinGraphic mathsArea under a polar function — integration in polar coordinatesThe familiar xy-plane uses Cartesian coordinates to represent points in a 2D space. Every point in space can be represented by a pair of…Jul 22Jul 22

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…Jun 171Jun 171

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…Jun 175Jun 175

Martin McBrideinGraphic mathsFourier’s ingenious proof that e is irrationalEuler’s number, e, is an important number in mathematics that appears in many contexts.Jun 104Jun 104

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.May 318May 318

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…May 201May 201

Martin McBrideinTechnological SingularityDiagonalising MatricesA diagonal matrix is a square matrix where every element except the leading diagonal is zero.May 142May 142