Carl Wilhelm Borchardt (22 February 1817 – 27 June 1880) was a German mathematician.

[1] His father, Moritz, was a respected merchant, and his mother was Emma Heilborn.

[1] Borchardt studied under a number of tutors, including Julius Plücker and Jakob Steiner.

He generalised the results of Kummer on diagonalising symmetric matrices, using determinants and Sturm functions.

His grave is preserved in the Protestant Friedhof III der Jerusalems- und Neuen Kirchengemeinde (Cemetery No.