Re: Curvature calculations
- To: mathgroup at smc.vnet.net
- Subject: [mg76359] Re: Curvature calculations
- From: Narasimham <mathma18 at hotmail.com>
- Date: Sun, 20 May 2007 02:33:36 -0400 (EDT)
- References: <f2eltq$2mt$1@smc.vnet.net>
On May 16, 3:20 pm, laxm... at gmail.com wrote:
> Hello
> I am using version 5.2.0.0.
> Is there some function that calculates curvature in Mathematica?
> For example, there is a function called ArcLengthFactor illustrated in
> the help files as:
>
> << Calculus`VectorAnalysis`
> helix = {Cos[t], Sin[t], t}
> ArcLengthFactor[param, t, Cartesian] //Simplify
>
> The ArcLengthFactor gives the length of the curve, so it makes me
> think that there may be other functions that calculate quantities such as
> curvature.
> Thanks!
> Sachin
Suggest for a great start in differential geometry using
Mathematica :
http://www.math.ucla.edu/~bon/
It helps to check closely what's inside ready made commands.
Narasimham