All my notes on the Pi number, updated every time I find some interesting information. Some notes may be removed once the information is used in a full article.
Historical
- The following link, obtained by searching for “pi”, lists historical articles on Pi published in Historia Mathematica: https://www.sciencedirect.com/search?qs=pi&pub=Historia+Mathematica&cid=272588.
- Searching for “circle” one can find other ineresting articles: https://www.sciencedirect.com/search?pub=Historia+Mathematica&cid=272588&qs=circle
- The document (in French) entitled Quelques textes mathématiques de la mission de Suse, by E. M. Bruins, contains a summary of the mathematics content of the Babylonian tablets found in 1936 near Susa. E.M. Bruins was Evert Marie Bruins (1909 – 1990), a specialist of ancient mathematics (see https://www.persee.fr/authority/76567). He published in 1850 Aperçu sur les mathématiques babyloniennes.
Mathematics
- A simple proof that π is irrational was published by Ivan Niven in Bull. Amer. Math. Soc. 53 (6), 509, (June 1947) and is available online.
- https://en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
- Le nombre Pi est partout is an interesting article (in French) showing unexpected examples where the Pi number appears. From this article I found the following one: Playing Pool with π (the number π from a billiard point of view)
Computing
- Where does the formula used in http://ajennings.net/blog/a-million-digits-of-pi-in-9-lines-of-javascript.html to compute Pi come from ?
- https://cs.uwaterloo.ca/~alopez-o/math-faq/mathtext/node12.html shows a 160 bytes C code to compute Pi. What is the smallest possible code to compute Pi ?
- http://villemin.gerard.free.fr/Wwwgvmm/Geometri/PiFormul.htm contains a very large number of formulas to compute Pi
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