Die Lineale Ausdehnungslehre ein neuer Zweig der Mathematik
Dargestellt und durch Anwendungen auf die übrigen Zweige der Mathematik, wie auch auf die Statik, Mechanik, die Lehre vom Magnetismus und die Krystallonomie erläutert

This astonishing 1844 work was far ahead of its time, and anticipated developments including vector spaces, dimension and exterior products.

Hermann Grassmann (Author)

9781108050432, Cambridge University Press

Paperback / softback, published 13 December 2012

318 pages, 1 b/w illus.
21.6 x 14 x 1.8 cm, 0.41 kg

The Prussian schoolmaster Hermann Grassmann (1809–77) taught a range of subjects including mathematics, science and Latin and wrote several secondary-school textbooks. Although he was never appointed to a university post, he devoted much energy to mathematical research and developed revolutionary new insights. Die lineale Ausdehnungslehre, published in 1844, is an astonishing work which was not understood by the mathematicians of its time but which anticipated developments that took a century to come to fruition - vector spaces, dimension, exterior products and many other ideas. Admired rather than read by the next generation, it was only fully appreciated by mathematicians such as Peano and Whitehead.

Vorrede
Einleitung
Uebersicht der allgemeinen Formenlehre
1. Die Ausdehnungsgrösse
2. Die Elementargrösse
Inhalt.

Subject Areas: Algebra [PBF]