THE THEORY OF QUADRATIC NUMBER FIELDS

HILBERT, DAVID.

Ueber den Dirichlet'schen biquadratischen Zahlenkörper.

Leipzig, B. G. Teubner, 1894. 8vo. Bound with the original wrappers in contemporary half calf. In "Mathematische Annalen", Volume 45., 1894. Entire volume offered. Library label to upper part of spine. Extremities with wear, internally very fine and clean. Pp. 309-340. [Entire volume: IV, 599 pp.].

First printing of Hilbert's influential paper on the theory of quadratic number fields. Hilbert's work enabled mathematicians to attack successfully the theory of quadratic forms with any number of variables and with any algebraic numerical coefficients. This lead in particular to the interesting problem: to solve a given quadratic equation with algebraic numerical coefficients in any number of variables by integral or fractional numbers belonging to the algebraic realm of rationality determined by the coefficients.

The present volume contain several other papers by influential contemporary mathematicians.

Order-nr.: 47138