Title: History of irrational and transcendental numbers
Author: M. Waldschmidt, Université Pierre et Marie Curie Paris VI, France
Venue: Room 415, Lizong Building
Time: Friday, Nov. 30, 2007, 18:30
Abstract: The transcendence proofs for constants of analysis are essentially all based on
the seminal work by Ch. Hermite: his proof of the transcendence of the number e
in 1873 is the prototype of the methods which have been subsequently developed.
We first show how the founding paper by Hermite was influenced by earlier
authors (Lambert, Euler, Fourier, Liouville), next we explain how his arguments
have been expanded in several directions: Pade approximants, interpolation
series, auxiliary functions.
Attachment: History of irrational and transcendental numbers