taylor

Routines for manipulating Taylor series. These are useful for computing higher order derivatives for example. The tool is written in Google's Go programming language.

API

• Creating constants and variables
• Creating series
• Arithmetic operators / functions on taylor series

Supported functions

• Add, Subtract, Multiply, Divide
• Exp, Log

Example

In the following example we compute the first three terms in the Taylor expansion (centered at 0) of log(x + 1.5).

func main() {
    A := NewTaylor(3)
    A.coeff[0] = 1.5
    A.coeff[1] = 1

    C := Log(A);

    Print(C)
}

The program outputs:

[ +4.054651e-001 +6.666667e-001 -2.222222e-001 ]

This is very useful if you want to check your calculus homework. This tool will be extended by adding support for new functions. A little exercise to get yourself familiar with the tool is to write a small program to compute the n'th order derivative of some function (expressible using the supported functions) evaluated at 0.