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Hermann Gunther Gramann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar Gert Schubring

Hermann Gunther Gramann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar By Gert Schubring

Hermann Gunther Gramann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar by Gert Schubring


Summary

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

Hermann Gunther Gramann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar Summary

Hermann Gunther Gramann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar by Gert Schubring

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

Table of Contents

A survey of Grassmanns Ausdehnungslehre.- On Grassmanns life and his work as a mathematics teacher.- Remarks on the fate of Grassmanns Nachla.- 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 Gunther 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 Gunther 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 Gunther Grassmann and Robert Grassmann on Ernst Schroders 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.

Additional information

NPB9780792342618
9780792342618
0792342615
Hermann Gunther Gramann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar by Gert Schubring
New
Hardback
Springer
1996-08-31
370
N/A
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