Sunday 19 August 2018

Pi

Mathematics in XVIII and XIX centuries, focusing on irrationality and transcendental issues, namely on π, is my primary research line.

Eighteenth century

  • Leonhard Euler : continued fractions, irrationality, ideas concerning the nature of π, correspondence (primarily with Lambert).


  • Johann Heinrich Lambert : above all, his Mémoire of 1768 (year of publication). In this work he not only gave the first proof of irrationality of π, but he presented algebraic numbers and transcendental numbers in a modern and explicit way for the first time, conjecturing the impossibility of squaring the circle.

Nineteenth century

  • Joseph Liouville
  • George Cantor
  • David Hilbet