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 Definition A determinant which is defined for a finite number of functions of the same number of variables and in which each row consists of the first partial derivatives of the same function with respect to each of the variables. [d] [e]
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This needs disambiguation: Jacobian can also refer to an abelian variety associated to an algebraic curve, whose genus is equal to the dimension of the Jacobian variety.Barry R. Smith 04:08, 7 May 2009 (UTC)

I agree, but it means that we have to specialize the names. Would Jacobian (analysis) and Jacobian (differential geometry) be OK? Or do you have a better suggestion? --Paul Wormer 07:49, 7 May 2009 (UTC)
PS I would appreciate it if you, as mathematician, would have a look at Jacobian, written by me as mathematical amateur. --Paul Wormer 08:02, 7 May 2009 (UTC)