À LA RECHERCHE DES RACINES PERDUES (In Search of Lost Roots)

Marco Abate
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Marco Abate: Università di Pisa, Dipartimento di Matematica

A chapter in Imagine Math 3, 2015, pp 253-261 from Springer

Abstract: Abstract Mathematicians have developed many methods for solving polynomial equations, ranging from the basic formula giving the solutions of quadratic equations already known to ancient Greeks to very clever numerical algorithms developed in our contemporary computer age. In this short note I shall describe the history of one of the more interesting methods, Newton’s method, from its introduction in the seventeenth century up to the beautiful and unexpected results obtained in the twenty-first century, showing how a mathematical theory can be still well alive and kicking five centuries after it was born.

Keywords: Quadratic Polynomial; Black Region; Decimal Digit; Quadratic Case; Complicated Part (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-01231-5_18

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DOI: 10.1007/978-3-319-01231-5_18

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