The theory of determinants in the historical order of development, by Sir Thomas Muir.

JACOBIANS (MALMSTEN, 1858) 253
MALMSTEN, C. J. (1858, October).
[Om differential-eqvationers integrering. K. Svenskcc Vet.-Akcd.
Handl. (Stockholm), iii. No. 2, 94 pp.]
On pp. 9-11 Malmsten enunciates and proves Jacobi's " fundamental lemma" of 1844 without contributing any improvement.
SALMON, G. (1859).
[LESSONS INTRODUCTORY TO THE MODERN HIGHER ALGEBRA.
xii + 147 pp., Dublin.]
Salmon gives little, and certainly nothing fresh, on the subject; but his unreserved adoption of Sy]vester's word "Jacobian"
(~~ 53, 54; p. 37) doubtless helped greatly to spread the usage.