From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6953 Path: news.gmane.org!not-for-mail From: peasthope@shaw.ca Newsgroups: gmane.science.mathematics.categories Subject: Re: Finding the inverse of a function. Date: Thu, 6 Oct 2011 08:24:41 -0800 Message-ID: Reply-To: peasthope@shaw.ca NNTP-Posting-Host: lo.gmane.org X-Trace: dough.gmane.org 1317990828 30039 80.91.229.12 (7 Oct 2011 12:33:48 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Fri, 7 Oct 2011 12:33:48 +0000 (UTC) Cc: peasthope@shaw.ca To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Fri Oct 07 14:33:42 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.128]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1RC9cT-0000Ag-4G for gsmc-categories@m.gmane.org; Fri, 07 Oct 2011 14:33:41 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:40111) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1RC9aB-0008DT-ET; Fri, 07 Oct 2011 09:31:19 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1RC9a9-0003QJ-2K for categories-list@mlist.mta.ca; Fri, 07 Oct 2011 09:31:17 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6953 Archived-At: > ... the function x sin(x), i think, ... Correct. > ... as studied by undergraduates in calculus I. According to the course descriptions here at UBC, there is at least a mention of series in first year courses. Fourier and other series appear in 2nd & 3rd years. > ... might be worth while to rework widder's book on transform theory coalgebraically. Engineer speaking. Mathematicians, don't be too critical. What I recall from a brief study decades ago is that each of the familiar series--Taylor, Laurent, Fourier & etc.--is based upon a set of orthogonal functions. So I wondered whether the category of sets of orthogonal functions has been thoroughly studied. Such a study should show the necessity of infinite series to represent the inverses of some functions. Wishful thinking? Thanks, ... Peter E. -- Telephone 1 360 450 2132. bcc: peasthope at shaw.ca Shop pages http://carnot.yi.org/ accessible as long as the old drives survive. Personal pages http://members.shaw.ca/peasthope/ . [For admin and other information see: http://www.mta.ca/~cat-dist/ ]