saadtaame / taylor

Routines for manipulating Taylor expansions. These are useful for computing higher order derivatives.

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.