From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6909 Path: news.gmane.org!not-for-mail From: Dusko Pavlovic Newsgroups: gmane.science.mathematics.categories Subject: Re: Finding the inverse of a function. Date: Tue, 20 Sep 2011 18:55:02 +0100 Message-ID: References: Reply-To: Dusko Pavlovic NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 (Apple Message framework v1084) Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1316608181 25241 80.91.229.12 (21 Sep 2011 12:29:41 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Wed, 21 Sep 2011 12:29:41 +0000 (UTC) Cc: categories@mta.ca To: peasthope@shaw.ca Original-X-From: majordomo@mlist.mta.ca Wed Sep 21 14:29:34 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.30]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1R6Lvi-0000WM-IZ for gsmc-categories@m.gmane.org; Wed, 21 Sep 2011 14:29:34 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:56763) by smtpx.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R6Lu4-0006WU-EE; Wed, 21 Sep 2011 09:27:52 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R6Lu2-00008i-OA for categories-list@mlist.mta.ca; Wed, 21 Sep 2011 09:27:50 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6909 Archived-At: infinite series and analytic functions can be simply and conveniently = manipulated in categories of coalgebras. their taylor and laplace = transforms turn up as coalgebra isomorphims. the basics of this approach = are in my LICS 98 paper with martin escardo, http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=3D5684# or http://www.isg.rhul.ac.uk/dusko/coalgebra.html neither martin nor i really pursued this path, which is perhaps a = mistake, since it seems that a powerful categorical tool lies there. 2c, -- dusko On Sep 16, 2011, at 5:42 PM, peasthope@shaw.ca wrote: > Is CT any help in getting an overview of infinite series? >=20 > I'm curious to find an inverse of f(\theta) =3D \theta \sin \theta > and wonder whether there is an approach more insightful than > the traditional course in applied analysis. >=20 > Thanks, ... Peter E. >=20 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]