Carl Wilhelm Borchardt (22 February, 1817 - 27 June, 1880) was a German mathamatition.

Borchardt was born in Berlin.

He did important research on the arithmetic geometric mean continuing work in this area by Gauss and Lagrange. He generalised results of Kummer on equations determining the secular disturbances of the planets. In this work he used determinants and Sturm functions.

He died in Rudersdorf (near Berlin), Germany.