Rationalizing the transcendent by polynomial interpolation

Abstract

This work is intended to manually calculate polynomials of grades 2, 4 and 6, to adjust transcendent and irrational functions, which allow approximate values of radicals, sine, exponential and logarithm. In each case the utility to apply them and solve problems of daily life is shown. Once the polynomials of degree 2, 4 or 6 have been constructed, the comparison is made to see which of the polynomials and at what intervals the best precision is achieved in the adjustment. For a value v and its estimate v *, the absolute error ε = | v - v * | is calculated. In each case, numerical practical examples are given, as well as of application to real problems. Demonstrations and deduction of formulas are given in detail in Annex.