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Vandermonde studied the theory of equations and worked on determinants, although the determinant now named after him, by Lebesgue, does not appear in his published work.
He also worked on the mathematical solution of the knight's tour problem. The total of his contributions to mathematics were 4 memoirs written between 1771 and 1772 which contained important results and methods.
References elsewhere in this archive:
Tell me about Vandermonde's work on matrices and determinants
Tell me about his work on the knight's tour problem
References:
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