Overview
In 1729, Leonhard Euler began to read Fermat’s work seriously following correspondence with German mathematician Christian Goldbach (1690-1764) on some of Fermat’s observations; which thus acted to launch the long drawn-out study of “reciprocity laws”, upward through the works of Adrien-Marie Legendre, Carl Gauss (1777-1855), Johann Dirichlet (1805-1859), Carl Jacobi (1804-1851), and Sergei Eisenstein (1898-1948). [1]
Quotes | By
The following are quotes by Fermat:
“Perhaps, posterity will thank me for having shown that the ancients did not know everything.”— Pierre Fermat (1659), “Letter to Pierre de Carcavi (an amateur mathematician) in 'Relation of New Discoveries in the Science of Numbers'” (Ѻ), Aug
“To divide a cube into two other cubes, a fourth power, or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.”— Pierre Fermat (c.1660), theorem (Ѻ), beside the eighth proposition of the second book of Diophantus; Heinrich Olbers attempted to coax Carl Gauss in to solving this in 1816; it was finally solved by Andrew Wiles in 1994
References
1. Lemmermeyer, Franz. (2000). Reciprocity Laws: From Euler to Eisenstein. Springer.
External links
● Pierre de Fermat – Wikipedia.