Lagrange and the solution of numerical equations

DOI10.1006/hmat.2001.2316zbMath0989.01009OpenAlexW2020847738MaRDI QIDQ5953250

Gary McGrath, Reinhard C. Laubenbacher, David J. Pengelley

Publication date: 5 August 2002

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/hmat.2001.2316

zbMATH Keywords

Newton's methodsymmetric functionnumerical approximationcontinued fractionMöbius transformationabstract algebraalgebraic congruenceLagrangepolynomial equation

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 18th century (01A50) Numerical computation of solutions to single equations (65H05) History of numerical analysis (65-03)

Related Items

Unnamed Item, Cauchy, Le Verrier et Jacobi sur le problème algébrique des valeurs propres et les inégalités séculaires des mouvements des planètes, The formulae and algorithms for Lagrange-power basis transformation and Lagrange-Newton transformation

Cites Work

• The theory of equations in the 18th century: the work of Joseph Lagrange
• Joseph Louis Lagrange's algebraic vision of the calculus
• Mathematical Expeditions
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