Halley's Methods for Solving Equations

Author:

Bateman Harry1

Affiliation:

1. California Institute of Technology

Publisher

Informa UK Limited

Subject

General Mathematics

Reference23 articles.

1. Methodus nova accurata & facilis inveniendi radices æqnationum quarumcumque generaliter, sine praviæ reductione

2. N. Nielsen, Géomètres français de dix-huitième siècle, edited by N. E. Norlund, Copenhague, Levin & Munksgaard, 1935, pp. 240–248, Gauthier-Villars, Paris. I am indebted to this book for the reference to the book of de Lagny and its relation with Halley's paper in the Philosophical Transactions. It was while a search was being made at the Huntington Library for the number of the Transactions which contains Halley's paper that my friend Mr. Ronald Coonrod found that an account of Halley's work was contained in “Miscellanea Curiosa.”

3. R. Dedekind, Stetigkeit und irrationale Zahlen, Brunswick, 1872.

4. Sur la racine carrée des nombres

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Basins of attraction of a one-parameter family of root-finding techniques;Moroccan Journal of Pure and Applied Analysis;2023-09-01

2. On the Geometry of Halley's Method;The American Mathematical Monthly;1995-05

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