# Maths & Science

peterjamesthomas.com is a business-focussed site, however regular readers will have noticed the frequent appearance of topics in Mathematics and Science; with observations and learnings from these fields frequently being applied to business. Perhaps an archetypical example of this is my 2014 article, Data Visualisation – A Scientific Treatment.

By way of contrast, this new section houses articles that are avowedly Mathematical or Scientific in nature with no other context applied. These will be less numerous than my business pieces and may well appeal to a very different audience. I do however hope that there is some cross-over between these sections.

— Peter James Thomas, January 2018

The images appearing next to the articles listed below indicate whether the piece pertains to Mathematics (the Dihedral Group of degree 3), Physics (Cloud Chamber trails), Biology (strands of DNA) or some combination of these.

 1 Glimpses of Symmetry (work-in-progress) This is an on-line book, which uses the Standard Model of Particle Physics as a motivation for providing an introduction to an important and beautiful area of Pure Mathematics, Group Theory; a subject I studied in Graduate school. At present the book is about 75% complete and some chapters are either drafts or placeholders. 2 A Brief Taxonomy of Numbers A whistle-stop tour of the most typically used number families and their relations to each other. 3 When I’m 65 A case study of just how deep you can go down the Mathematical “rabbit hole” when starting from an apparently simple question. 4 Euler’s Number A long and winding road with the destination being what is probably the most important number in Mathematics. 5 The Equation Deriving (and demystifying) one of the most famous equations in Mathematics. 6 Finches, Feathers and Apples Explaining why the phrase “just a theory” makes no sense when applied to Science, with a little help from Charles Darwin, Isaac Newton and Albert Einstein. 7 Two Escapees Two Science / Mathematics-rich articles from the main peterjamesthomas.com blog, both of which could have fitted in nicely here in the Maths & Science section. 8 The Irrational Ratio The number π is surrounded by a fog of misunderstanding and even mysticism. This article seeks to address some common misconceptions about π, to show that in many ways it is just like any other number, but also to demonstrate some of its less common properties. 9 Six Easy Pieces The author’s answers to six selected Quora questions, all relating to various aspects of Mathematics from Group Theory to Number Theory. 10 Divide et Impera Just why is 51 not a Prime Number? Plus an introduction to Modular Arithmetic and one of its uses.
 Text & Images: © Peter James Thomas 2017 – 2018. Published under a Creative Commons Attribution 4.0 International License.