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＜電子ブック＞
Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar / edited by Gert Schubring
(Boston Studies in the Philosophy and History of Science. ISSN:22147942 ; 187)

版	1st ed. 1996.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1996
本文言語	英語
大きさ	XXX, 370 p : online resource
著者標目	Schubring, Gert editor SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Science -- Philosophy  全ての件名で検索 LCSH:Historical linguistics LCSH:Physics -- Philosophy  全ての件名で検索 LCSH:History LCSH:Logic FREE:Mathematical Logic and Foundations FREE:Philosophy of Science FREE:Historical Linguistics FREE:Philosophical Foundations of Physics and Astronomy FREE:History FREE:Logic
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-94-015-8753-2

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