Carl Gustav Jacob Jacobi
The life of Carl Gustav Jacob Jacobi - A Revolutionary Mathematical Life
Jacobian Determinant
Used for changing variables in multiple integrals.
\[ J = \det \frac{\partial(y_1, \dots, y_n)}{\partial(x_1, \dots, x_n)} \]
Jacobi Identity
A property of the Poisson bracket and Lie algebras.
\[ [A, [B, C]] + [B, [C, A]] + [C, [A, B]] = 0 \]
Sources: https://mathshistory.st-andrews.ac.uk/Biographies/Jacobi/
