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

AvGert Schubring,Hermann G. Grassmann

Inbunden, Engelska, 1996

Del 187 i serien Boston Studies in the Philosophy and History of Science

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1996-08-31
Mått:156 x 234 x 27 mm
Vikt:770 g
Format:Inbunden
Språk:Engelska
Serie:Boston Studies in the Philosophy and History of Science
Antal sidor:370
Upplaga:1996
Förlag:Kluwer Academic Publishers
ISBN:9780792342618

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Innehållsförteckning

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.

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