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Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar 1st ed. Softcover of orig. ed. 1996 [Pehme köide]

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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.

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A survey of Grassmanns Ausdehnungslehre.- On Grassmanns life and his
work as a mathematics teacher.- Remarks on the fate of Grassmanns Nachlaß.-
The influence of Grassmanns theory of tides on the Ausdehnungslehre.- The
influence of Justus Grassmanns 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 Grassmanns
contribution to the construction of a German Kulturnation Scientific
school grammar between Latin tradition and French conceptions.- The reception
of Grassmanns mathematical achievements by A. Clebsch and his school.- The
reception of Grassmanns work in Germany during the 1870s.- Reception of
Grassmanns 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 Schröders Algebra of Logic.-
Grassmann progressive and regressive products and CG-Algebras.- Grassmanns
Vision.- Grassmanns Dialectics and Category Theory.- The completion of
Grassmanns 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.