Dear Israel,
The term JACOBIAN was coined by James Joseph Sylvester (1814-1897), who used
it as early as 1853:
"In Arts. 65, 66, I consider the relation of the Bezoutiant
to the differential determinant, so called by Jacobi, but
which for greater brevity I call the Jacobian."
Cf. The Philosophical Transactions of the Royal Society of London, vol
CXLIII, part III, pp 407-548, London 1853. Also in Sylvester's _Collected
Mathematical Papers_, vol 1, Cambridge (At the University Press), 1904.
An extensive and original study of the topic was first carried out by
Carl Gustav Jacob Jacobi (1804-1851) in "De determinantibus functionalibus",
_Journal fuer die reine und angewandte Mathematik_ (Crelle's Journal),
vol 22, pp 319-352, 1841. Needless to say, you will not find there math
terms and symbols as we use them today; anyhow the intellectual seeds and
mathematical flowers to the point are all there (and no weeds whatsoever!).
Regards,
Julio Gonzalez Cabillon
>
> --------------------------------------------------------
> Israel Kleiner
> Department of Mathematics & Statistics
> York University
> Toronto, Ontario M3J 1P3
> Tel: 416-736-5250
> Fax: 416-736-5757
> email: kleiner@home.com
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