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Topic: [HM] Math epitaphs
Replies: 45   Last Post: Jan 9, 2004 8:54 PM

 Messages: [ Previous | Next ]
 Emili Bifet Posts: 51 Registered: 12/3/04
Re: [HM] Magnitudes
Posted: Nov 8, 2003 10:14 PM

Hans Samelson wrote:

What are magnitudes, and how does one add them? Are they always
numbers, or figures of a certain dimension, or are they more
abstract, just defined by how one can operate with them? Etc. Now
my real question: Is there something in the literature, where
somebody has written about this topic and tried to explain it?

...

a magnitude is an element of a "system of magnitudes". And what is
that? My short answer: It is a (weakly?) partially ordered Abelian
semigroup. (One might replace weakly by strictly.)

Dear Hans and All,

On a similar line of thought, there is a resource that I find quite
useful:

H Whitney, The Mathematics of Physical Quantities I & II,
Amer. Math. Monthly, 75(1968), pp. 115-138 & 227-256.

Michel Delord has made the Introduction available at his
web site:

(pdf; Introduction.)

Best wishes,
Emili Bifet

PS A useful Review by Stacy G. Langton:

(pdf; ~8MB)

HG Zeuthen, _Geschichte der Mathematik im Altertum und Mittelalter_

HG Zeuthen, _Hvorledes mathematiken i tiden fra Platon til Euklid
blev rationel videnskab_. Avec un rÃÂ©sumÃÂ© en franÃÂ§ais.

TL Heath, Introductory note, Book V.

ThÃÂ©on de Smyrne, _Exposition des connaissances mathÃÂ©matiques utiles
pour la lecture de Platon_.

(pdf; ~15MB)

Date Subject Author
11/7/03 aramirez@tlaloc.imta.mx
11/8/03 Jean-Michel Kantor
11/8/03 Alexey P. Stakhov
11/8/03 Colin Mclarty
11/8/03 Richard J. Griego
11/8/03 Thomas Foregger
11/8/03 Leo Corry
11/8/03 Thomas Drucker
11/8/03 Gordon Fisher
11/8/03 Hans Samelson
11/8/03 Emili Bifet
11/9/03 James T. Smith
11/15/03 Udai Venedem
11/17/03 Gerard Emch
11/20/03 Emili Bifet
11/9/03 Robert (Bob) Eldon Taylor
11/10/03 Hans Samelson
11/17/03 Robert (Bob) Eldon Taylor
11/11/03 Luigi Borzacchini
12/16/03 John Conway
12/19/03 Dr. Laszlo Filep
11/15/03 Hans Samelson
11/17/03 Luigi Borzacchini
11/19/03 Samuel S. Kutler
11/21/03 Gunnar Berg
11/21/03 Emili Bifet
11/21/03 Elena Marchisotto
12/16/03 John Conway
12/18/03 Emili Bifet
11/19/03 Jay Dougherty
1/9/04 Hans Samelson
11/8/03 Ralph A. Raimi
11/8/03 Phil Parker
11/9/03 Colin Mclarty
11/8/03 James T. Smith
11/8/03 Tom Apostol
11/9/03 Melvin Henriksen
11/10/03 Emili Bifet
11/10/03 Klaus Barner
11/10/03 Andrew Boucher
11/13/03 Philippe Boulanger
11/13/03 Jose Maria Palandri
11/14/03 Philippe Boulanger
12/25/03 Julio Gonzalez Cabillon
12/25/03 Alexander Soifer