Calculation of Taylor Series
Several methods exist for the calculation of Taylor series of a large number of functions. One can attempt to use the Taylor series as-is and generalize the form of the coefficients, or one can use manipulations such as substitution, multiplication or division, addition or subtraction of standard Taylor series to construct the Taylor series of a function, by virtue of Taylor series being power series. In some cases, one can also derive the Taylor series by repeatedly applying integration by parts. Particularly convenient is the use of computer algebra systems to calculate Taylor series.
Read more about this topic: Taylor Series
Famous quotes containing the words calculation of, calculation, taylor and/or series:
“To my thinking boomed the Professor, begging the question as usual, the greatest triumph of the human mind was the calculation of Neptune from the observed vagaries of the orbit of Uranus.
And yours, said the P.B.”
—Samuel Beckett (19061989)
“To my thinking boomed the Professor, begging the question as usual, the greatest triumph of the human mind was the calculation of Neptune from the observed vagaries of the orbit of Uranus.
And yours, said the P.B.”
—Samuel Beckett (19061989)
“And the Devil did grin, for his darling sin
Is pride that apes humility.”
—Samuel Taylor Coleridge (17721834)
“The theory of truth is a series of truisms.”
—J.L. (John Langshaw)