The spiral of Theodorus, numerical analysis, and special functions

Theodorus of Cyrene (ca. 460–399 B.C.), teacher of Plato und Theaetetus, is known for his proof of the irrationality of n , n = 2 , 3 , 5 , … , 17 . He may have known also of a discrete spiral, today named after him, whose construction is based on the square roots of the numbers n = 1 , 2 , 3 , … ....

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Vydáno v:	Journal of computational and applied mathematics Ročník 235; číslo 4; s. 1042 - 1052
Hlavní autor:	Gautschi, Walter
Médium:	Journal Article Konferenční příspěvek
Jazyk:	angličtina
Vydáno:	Kidlington Elsevier B.V 15.12.2010 Elsevier
Témata:	Acceleration of convergence Bose–Einstein distribution Computation Exact sciences and technology Gaussian Gaussian quadrature Irrationality Mathematical analysis Mathematical models Mathematics Measure and integration Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Sciences and techniques of general use Slowly convergent series Special functions Spiral of Theodorus Spirals Teachers 33C47 51-03 65B10 65D30 Bose–Einstein distribution Spiral of Theodorus 01A20 Slowly convergent series 65D32 30E05 Gaussian quadrature Numerical integration Convergence acceleration Bose-Einstein distribution Special function Series summation Numerical analysis Applied mathematics Distribution function Abstract space
ISSN:	0377-0427, 1879-1778
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