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Topic: High-order numerical methods
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Posts: 183
From: Venezuela
Registered: 9/17/06
High-order numerical methods
Posted: Jan 5, 2014 12:23 AM
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Since the advent of 'derivatives' math historians and teachers assert that only by the agency of cartesian system and infinitesimal calculus modern mathematicians could create high-order algorithms for approximating roots, and that ancient were not able to do that because the only tool they had was Arithmetic: The science of Quantity.

However, beneath the light of the new extremely simple arithmetical methods for approximating roots with any desired convergence rate, those assertions become absolutely false.

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