De Formatione et Proprietatibus Determinantium
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Carl Jacobi's De Formatione et Proprietatibus Determinantium (1841) made significant contributions to the theory of determinants. A determinant is a value associated with a square matrix, calculated by summing terms that are products of matrix elements. Jacobi invented the functional determinant, formed from the differential coefficients of functions, which bears his name and is crucial in many analytical investigations. A Jacobian is a specific type of determinant defined by the first partial derivatives of functions with respect to their variables.123
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