Hermann Gunther Graßmann (1809-1877): Visionary mathematician, scientist and neohumanist scholar

Front Matter....Pages i-xxx
Front Matter....Pages 1-2
A Survey of Grassmann’s Lineale Ausdehnungslehre ....Pages 3-6
On Hermann Grassmann’s Life and His Work as a Mathematics Teacher....Pages 7-18
Remarks on the Fate of Grassmann’s Nachlaß ....Pages 19-26
Front Matter....Pages 27-28
The Influence of Grassmann’s Theory of Tides on the Ausdehnungslehre ....Pages 29-36
The Influence of Justus Grassmann’s Crystallographic Works on Hermann Grassmann....Pages 37-45
Geometrical Product — Exponentiation — Evolution. Justus Günther Grassmann and Dynamist Naturphilosophie ....Pages 47-58
The Cooperation between Hermann and Robert Grassmann on the Foundations of Mathematics....Pages 59-70
The Origins of Colorimetry: What did Helmholtz and Maxwell Learn from Grassmann?....Pages 71-86
Hermann Grassmann’s Contribution to the Construction of a German „Kulturnation“. Scientific School Grammar between Latin Tradition and French Conceptions....Pages 87-113
Front Matter....Pages 115-115
The Reception of H. Grassmann’s Mathematical Achievements by A. Clebsch and His School....Pages 117-130
On the Reception of Grassmann’s Work in Germany during the 1870’s....Pages 131-145
Reception of Grassmann’s Ideas in Bohemia....Pages 147-153
The Influence of H. Grassmann on Italian Projective N -Dimensional Geometry....Pages 155-163
Hermann Günther Grassmann and the Theory of Hypercomplex Number Systems....Pages 165-173
Basis and Dimension — From Grassmann to van der Waerden....Pages 175-196
The Emergence of Vector Calculus in Physics: The Early Decades....Pages 197-210
Where does Grassmann Fit in the History of Logic?....Pages 211-216
The Influence of Hermann Günther Grassmann and Robert Grassmann on Ernst Schröder’s Algebra of Logic....Pages 217-227
Front Matter....Pages 229-230
Grassmann Progressive and Regressive Products and CG-Algebras....Pages 231-242
Grassmann’s Vision....Pages 243-254
Front Matter....Pages 229-230
Grassmann’s Dialectics and Category Theory....Pages 255-264
The Completion of Grassmann’s Natur-Wissenschaftliche Methode ....Pages 265-280
Grassmannian Manifolds in Geometry....Pages 281-283
Regressive Products and Bourbaki....Pages 285-295
The Grassmann Product in Physics....Pages 297-301
Invariance under Nesting — An Aspect of Array-Based Logic with Relation to Grassmann and Peirce....Pages 303-335
An Application of Grassmann Geometry to a Problem in Robotics....Pages 337-343
Back Matter....Pages 345-369