Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar
Springer (Verlag)
978-90-481-4758-8 (ISBN)
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.
| Erscheint lt. Verlag | 5.12.2010 |
|---|---|
| Reihe/Serie | Boston Studies in the Philosophy of Science ; 187 |
| Zusatzinfo | XXX, 370 p. |
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Maße | 160 x 240 mm |
| Themenwelt | Geisteswissenschaften ► Geschichte |
| Geisteswissenschaften ► Philosophie ► Logik | |
| Geisteswissenschaften ► Sprach- / Literaturwissenschaft ► Sprachwissenschaft | |
| Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| Naturwissenschaften | |
| ISBN-10 | 90-481-4758-1 / 9048147581 |
| ISBN-13 | 978-90-481-4758-8 / 9789048147588 |
| Zustand | Neuware |
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