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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. |
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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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Springer eBooks | 9789401587532 |
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EB00235388 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA8.9-10.3 DC23:511.3 |
書誌ID | 4000111428 |
ISBN | 9789401587532 |
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