Published inGraphic mathsPathological cases — Dirichlet functionMy new book Calculus is available on Leanpub, with a free sample chapterDec 12, 20241Dec 12, 20241
Published inGraphic mathsSqueeze theoremMy new book Calculus is available on Leanpub, with a free sample chapterDec 7, 20241Dec 7, 20241
Published inGraphic mathsVolume of revolutionMy new book Calculus is available on Leanpub, with a free sample chapterOct 26, 2024Oct 26, 2024
Published inGraphic mathsExploring the golden ratioThe golden ratio was mentioned in Euclid’s Elements around 300 BCE, although it was probably known even earlier than that. It has been…Aug 12, 20242Aug 12, 20242
Published inGraphic mathsWhat is nothing? Kuhn’s nine levels of nothingI would probably have been about 8 years old when a question popped into my head that would cause me sleepless nights for a long time. A…Aug 2, 202414Aug 2, 202414
Published inGraphic mathsImproper integralsA definite integral is an integral between two finite points a and b:Jul 25, 2024Jul 25, 2024
Published inGraphic 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…Jul 19, 20247Jul 19, 20247
Published inGraphic 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 12, 20243Jul 12, 20243
Published inGraphic 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 5, 20243Jul 5, 20243
Published inGraphic 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 2, 20243Jul 2, 20243
