MODERN ALGEBRA

SCHEFFERS, GEORG.

Zurück-führung komplexer Zahlensysteme auf typische formen.

Leipzig, B. G. Teubner, 1891. 8vo. Bound in recent full black cloth with gilt lettering to spine. In "Mathematische Annalen", Volume 39., 1891. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. Pp. 293-390 . [Entire volume: IV, 600 pp. + 1 plate.]

First printing of Scheffers's important paper which contributed considerably to the development of modern algebra. Scheffers here distinguishes between a "Nichtquaternion system" (Nqss) and a Quaternion system (Qss). In today's language, Scheffers' Qss has the quaternion algebra as a subalgebra.

Scheffers anticipates the concepts of direct product of algebras and direct sum of algebras with his section on reducibility, addition, and multiplication of systems. Thus Scheffers pioneered the structural approach to algebra.

The volume contain several other papers by influential contemporary mathematicians.

Order-nr.: 47127