Skip to content

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

Notifications You must be signed in to change notification settings

saadtaame/taylor

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

10 Commits
 
 
 
 

Repository files navigation

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.

About

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

Resources

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published

Languages