THESE SO SIMPLE METHODS DO NOT APPEAR IN NEITHER ANY CHINESE, NOR ARAB, NOR INDIAN, NOR WESTERN BOOK, since ancient Babylonian times UP TO NOW!!! AND YOU WILL REALIZE THAT NO MATHEMATICIAN nor any math-historian will be able to deny such a crude fact.
Whatever... There are very good news here, specially, for young people because from now on, by means of simple arithmetic they will be able to learn at secondary school --by means of the most simple arithmetic-- many new simple higher-order algorithms, as well as all those well-known cartesian-infinitesimal algorithms (i.e.: Halley's, Newton's, Bernoulli's and Householder's) which have been considered as superb achievements of the history of mathematics, however, one can see now that all those "superb" achievements can be easily developed by means of the most simple arithmetic.
Young student, be sure there is something very wrong with the whole Cartesian-Infinitesimal scheme we have inherited. Yours is the chance to find new ways on mathematics.
Ing. Domingo Gomez Morin Structural Engineer Caracas Venezuela