Book Contents - New Numerical Methods. The Rational Mean:
"A new general and unifying arithmetical concept: The Rational Mean, which allows to generate not only Lucas’s, Bernoulli’s, Newton’s, Halley’s, Householder’s root-approximating algorithms but many new others, also embracing complex roots and the general algebraic equation.
From the evidence at hand, these arithmetical methods have no precedents in the mathematics literature. "
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