Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar

by Gert Schubring (Editor)

Overview

In this volume specialists in mathematics, physics, and linguistics present the first comprehensive analysis of the ideas and influence of Hermann G. Graßmann (1809-1877), the remarkable universalist whose work recast the foundations of these disciplines and shaped the course of their modern development.

Product Details

ISBN-13:	9789048147588
Publisher:	Springer Netherlands
Publication date:	12/06/2010
Series:	Boston Studies in the Philosophy and History of Science , #187
Edition description:	Softcover reprint of hardcover 1st ed. 1996
Pages:	370
Product dimensions:	6.30(w) x 9.45(h) x 0.03(d)

Table of Contents

A survey of Grassmann’s Ausdehnungslehre.- On Grassmann’s life and his work as a mathematics teacher.- Remarks on the fate of Grassmann’s Nachlaß.- The influence of Grassmann’s theory of tides on the Ausdehnungslehre.- The influence of Justus Grassmann’s crystallographic works on Hermann Grassmann.- Geometrical Product — Exponentiation — Evo-lution. Justus Günther Grassmann and dynamist Naturphilosophie.- The cooperation between Hermann and Robert Grassmann on the foundations of mathematics.- The origins of colorimetry: What did Helmholtz and Maxwell learn from Grassmann?.- Hermann Grassmann’s contribution to the construction of a German “Kulturnation” — Scientific school grammar between Latin tradition and French conceptions.- The reception of Grassmann’s mathematical achievements by A. Clebsch and his school.- The reception of Grassmann’s work in Germany during the 1870s.- Reception of Grassmann’s ideas in Bohemia.- The influence of Grassmann on Italian projective n-dimensional geometry.- Hermann Günther Grassmann and the theory of hypercomplex number systems.- Basis and Dimension — from Grassmann to van der Waerden.- Emergence of vector calculus in physics: the early decades.- Where does Grassmann fit in the history of logic?.- The influence of Hermann Günther Grassmann and Robert Grassmann on Ernst Schröder’s Algebra of Logic.- Grassmann progressive and regressive products and CG-Algebras.- Grassmann’s Vision.- Grassmann’s Dialectics and Category Theory.- The completion of Grassmann’s Natur-Wissenschaftliche Methode.- Grassmannian manifolds in geometry.- Regressive products and Bourbaki.- The Grassmann product in physics.- Array-based logic.- An application of Grassmann geometry to a problem in robotics.- Notes oncontributors.- Notes and Credits to the Illustrations.