Who first invented calculus - Newton or Leibniz?
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From: M Purcell on 5 Jan 2010 20:21 On Jan 5, 4:50 pm, Les Cargill <lcargil...(a)comcast.net> wrote: > Peter Webb wrote: > > Liebniz basically invented the dy/dx notation, right? > > > What was Newton's - the f '(x) notation, or something else? > > f'(x) is Lagrange's notation: > > http://en.wikipedia.org/wiki/Leibniz's_notation > > Newton's notation was dots over the function: > > http://en.wikipedia.org/wiki/Newton's_notation > > I recall *vaguely* that Liebniz invented > integration first, and Newton invented > derivatives first. > > Neither were particularly rigorous - I think > it was Cauchy who first formalized limits. Any ideas about delta notation? A different Greek?
From: Rockinghorse Winner on 5 Jan 2010 20:51 Thanks. That was a very enjoyable read.
From: Les Cargill on 5 Jan 2010 22:30 M Purcell wrote: > On Jan 5, 4:50 pm, Les Cargill <lcargil...(a)comcast.net> wrote: >> Peter Webb wrote: >>> Liebniz basically invented the dy/dx notation, right? >>> What was Newton's - the f '(x) notation, or something else? >> f'(x) is Lagrange's notation: >> >> http://en.wikipedia.org/wiki/Leibniz's_notation >> >> Newton's notation was dots over the function: >> >> http://en.wikipedia.org/wiki/Newton's_notation >> >> I recall *vaguely* that Liebniz invented >> integration first, and Newton invented >> derivatives first. >> >> Neither were particularly rigorous - I think >> it was Cauchy who first formalized limits. > > Any ideas about delta notation? A different Greek? Dunno about that one. -- Les Cargill
From: spudnik on 5 Jan 2010 22:30 Apostol is the only author that I know of, who uses Leibniz's method: he begins with the integral. John Conway once responded, on Swarthmore.edu mathforum, what Newton's notation is really good for; but, I really don't recall. so, even a quack like Newton -- the unofficail secular church of England, as opposed to the official Harry Potter PS "institutional affiliation -- has actually some use. > Any ideas about delta notation? A different Greek? --l'OEuvre! http://wlym.com
From: M Purcell on 5 Jan 2010 22:44
On Jan 5, 7:30 pm, spudnik <Space...(a)hotmail.com> wrote: > Apostol is the only author that I know of, > who uses Leibniz's method: > he begins with the integral. > > John Conway once responded, > on Swarthmore.edu mathforum, > what Newton's notation is really good for; > but, I really don't recall. It's a very economical shorthand generally used in mechanics. > so, even a quack like Newton > -- the unofficail secular church of England, > as opposed to the official Harry Potter PS > "institutional affiliation -- > has actually some use. > > > Any ideas about delta notation? A different Greek? > > --l'OEuvre!http://wlym.com |