RE: [R] Cauchy's theorem

 I don't know about the 'in R' bit, but ISTR that Monte-Carlo (or pseudo Monte-Carlo) Integration is a way of doing this 'numerically'. I know that Mathematica implements the (pseudo Monte-Carlo) Halton-Hammersley-Wozniakowski algorithm as Nintegrate. Perhaps something equivalent has been coded by someone for WINBUGS (OPENBUGS) (accessible from R via the BRUGS package).

HTH Mike

-----Original Message-----
From: r-help-bounces@stat.math.ethz.ch
[mailto:r-help-bounces@stat.math.ethz.ch] On Behalf Of Robin Hankin Sent: 20 January 2005 14:14
To: R-help@stat.math.ethz.ch
Subject: [R] Cauchy's theorem

In complex analysis, Cauchy's integral theorem states (loosely speaking) that the path integral
of any entire differentiable function, around any closed curve, is zero.

I would like to see this numerically, using R (and indeed I would like to use the residue theorem as well).

Has anyone coded up path integration?

--
Robin Hankin
Uncertainty Analyst
Southampton Oceanography Centre
European Way, Southampton SO14 3ZH, UK
  tel  023-8059-7743



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