Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar : Papers from a Sesquicentennial Conference

Abstract

Introduction. I: Biography. A Survey of Grassmann's Ausdehnungslehre A. Beutelspacher. On Grassmann's Life and His Work as a Mathematics Teacher H. Schwartze. Remarks on the fate of Grassmann's Nachlass G. Schubring. II: Emergence of Grassmann's Ideas and Their Context. The Influence of Grassmann's Theory of Tides on the Ausdehnungslehre A.C. Lewis. The Influence of Justus Grassmann's Crystallographic Works on Hermann Grassmann E. Scholz. Geometrical Product - Exponentiation - Evolution. Justus Gunther Grassmann and Dynamist Naturphilosophie M.-L. Heuser. The Cooperation between Hermann and Robert Grassmann on the Foundations of Mathematics G. Schubring. The Origins of Colorimetry: What did Helmholtz and Maxwell Learn from Grassmann? R.S. Turner. Hermann Grassmann's Contribution to the Construction of a German `Kulturnation' - Scientific School Grammar Between Latin Tradition and French Conceptions E. Hultenschmidt. III: Historical Influences of Grassmann's Work. The Reception of Grassmann's Mathematical Achievements by A. Clebsch and His School R. Tobies. The Reception of Grassmann's Work in Germany During the 1870s D. Rowe. Reception of Grassmann's Ideas in Bohemia Z. Nadenik. The Influence of Grassmann on Italian Projective n-Dimensional Geometry A. Brigaglia. Hermann Gunther Grassmann and the Theory of Hypercomplex Number Systems K.-H. Schlote. Basis and Dimension - From Grassmann to Van der Waerden J.-L. Dorier. Emergence of Vector Calculus in Physics: The Early Decades K. Reich. Where Does Grassmann Fit in the History of Logic? I. Grattan-Guinness. The Influence of Hermann Gunther Grassmann and Robert Grassmann on ErnstSchroeder's Algebra of Logic V. Peckhaus. IV: Influences of Grassmann's Work on Recent Developments in Science. Algebra Grassmann Progressive and Regressive Products and CG-Algebras A. Brini, A.G. B. Teolis. Grassmann's Vision D. Hestenes. Grassmann's Dialectics and Category Theory F.W. Lawvere. Geometry The Completion of Grassmann's Naturwissenschaftliche Methode A. Swimmer. Grassmannian Manifolds in Geometry W. Klingenberg. Regressive Products and Bourbaki A. Zaddach. Physics, Technology GBP/LISTGBP The Grassmann Product in Physics G. Braunss. Array-Based Logic O.I. Franksen. An Application of Grassmann Geometry to A Problem in Robotics J. Pfalzgraf. Index.