Sums of powers of integers – how Fermat may have found them

Autor:	Bob Burn
Rok vydání:	2010
Předmět:	Fermat's Last Theorem Combinatorics Fermat's little theorem Sums of powers Proofs of Fermat's theorem on sums of two squares General Mathematics Fermat's theorem on sums of two squares Wieferich prime Mathematics Lander Parkin and Selfridge conjecture Fermat number
Zdroj:	The Mathematical Gazette. 94:18-26
ISSN:	2056-6328 0025-5572
DOI:	10.1017/s0025557200007117
Popis:	On 22 September 1636, Fermat wrote to Roberval, [I, FO.II.XIII, p.71], saying that he had found the quadrature of an infinite number of curves. He named in particular the ‘solid parabola’, y = x3, and said that his method was different from Archimedes‘ quadrature of the parabola. He invited Roberval to share his thoughts on this and other matters.On 11th October 1636, Roberval replied to Fermat [1. FO.II.XIV, p.75], indicating his method for determining the quadrature of the ‘solid parabola’ and extending it to the quadrature of y = x4 and y = x5.
Databáze:	OpenAIRE
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