Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar
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 develop...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
1996, 1996
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| Edition: | 1st ed. 1996 |
| Series: | Boston Studies in the Philosophy and History of Science
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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