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C. Maclaurin. A Scottish mathematician gained his master degree at age 17, and his major mathematics' work arise from his special knowledge in Newton's ideas and the formulation of Newton's methods.

However, C. Maclaurin also contributed to the astronomy science and helped to improve maps and invented some mechanical devices.

My mathematics python's programs is a set of Maclaurin's series to compute some of the most important functions in calculus.

Though, the computation of an infinite sum which give the value of a function in terms of the derivatives evaluated at a special case where x0 = 0,in contrast with Taylor series.

Maclaurin's series for tan-1 function is achieved by integrating the function f(x)= 1/(1+x^2). However, this approach could be used to find Maclaurin's series for others functions.

Python, 59 lines
 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59``` ```#On the name of ALLAH and may the blessing and peace of Allah #be upon the Messenger of Allah Mohamed Salla Allahu Aliahi Wassalam. #Author : Fouad Teniou #Date : 06/07/10 #version :2.6 """ maclaurin_tan-1 is a function to compute tan-1(x) using maclaurin series and the interval of convergence is -1 <= x <= +1 sin(x) = x - x^3/3 + x^5/5 - x^7/7 ........... """ from math import * def error(number): """ Raises interval of convergence error.""" if number > 1 or number < -1 : raise TypeError,\ "\n

1 comment

Fouad Teniou (author) 13 years, 7 months ago