• DOI:10.1098/rstl.1819.0023
Corpus ID: 186210512

XXI. A new method of solving numerical equations of all orders, by continuous approximation

@article{HornerXXIAN,
  title={XXI. A new method of solving numerical equations of all orders, by continuous approximation},
  author={W. Horner},
  journal={Philosophical Transactions of the Royal Society of London},
  pages={308 - 335}
}

• W. Horner
• Philosophical Transactions of the Royal Society of London

1. The process which it is the object of this Essay to establish, being nothing else than the leading theorem in the Calculus of Derivations, presented under a new aspect, may be regarded as a universal instrument of calculation, extending to the composition as well as analysis of functions of every kind. But it comes into most useful application in the numerical solution of equations. 2. Arbogast’s developement of ϕ ( α + βx + γx2 + δx3 + ∈x4 + .... ) (See Calc, des Der. § 33 ) supposes all… Expand

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