The Jacobian

     

        

        In vector calculus , the Jacobian or Jacobian determinant called the determinant of the Jacobian matrix . Both the Jacobian matrix and the Jacobian determinant are named after the mathematician Carl Gustav Jacobi .


        Carl Gustav Jacobi was born in Potsdam in 1804 within a Jewish family in Germany .                                                                                                                Jacobi Niels Henrik Abel established with the Theory of Elliptic Functions . Demonstrated the solution by applying elliptic integrals of functions, exponential series introduced himself.
       He worked mainly on differential equations and determinants, studying , among other things, the concept that today is known as Jacobian . He published the result of these years on the formation and properties of determinants .
       Jacobi had the reputation of being an excellent teacher , attracted many students. Seminar introduced a method to teach students the latest mathematicians.



       The Jacobian is simply determining which serves to move or transform from one coordinate system to another. Also called functional determinant .