HILBERT, DAVID.

Über ternäre definite Formen.

Stockholm, Beijer, 1893. 4to. As extracted from "Acta Mathematica, 17. Band]. No backstrip. Fine and clean. Pp. 169-197.

First edition. This important paper constitutes Hilbert's own version of part of the solution of his "Mathematische Probleme" listed at the International mathematical Congress in Paris 1900 (as problem 17) on the "Expression of definite forms by squares". "....But since as I have shown, not every definite form can be compounded by addition from squares of forms, the question arises - which I have answered affirmatively for ternary forms (the paper offered here)- whether every definite form may be expressed as a quotient of sums of squares of forms...."

Order-nr.: 45838