Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar

Papers from a Sesquicentennial Conference

Editors:

ISBN: 978-90-481-4758-8 (Print) 978-94-015-8753-2 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages i-xxx

  2. Biography

    1. Front Matter

      Pages 1-2

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      Chapter

      Pages 3-6

      A Survey of Grassmann’s Lineale Ausdehnungslehre

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      Chapter

      Pages 7-18

      On Hermann Grassmann’s Life and His Work as a Mathematics Teacher

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      Chapter

      Pages 19-26

      Remarks on the Fate of Grassmann’s Nachlaß

  3. Emergence of Grassmann’s Ideas and Their Context

    1. Front Matter

      Pages 27-28

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      Chapter

      Pages 29-36

      The Influence of Grassmann’s Theory of Tides on the Ausdehnungslehre

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      Chapter

      Pages 37-45

      The Influence of Justus Grassmann’s Crystallographic Works on Hermann Grassmann

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      Chapter

      Pages 47-58

      Geometrical Product — Exponentiation — Evolution. Justus Günther Grassmann and Dynamist Naturphilosophie

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      Chapter

      Pages 59-70

      The Cooperation between Hermann and Robert Grassmann on the Foundations of Mathematics

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      Chapter

      Pages 71-86

      The Origins of Colorimetry: What did Helmholtz and Maxwell Learn from Grassmann?

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      Chapter

      Pages 87-113

      Hermann Grassmann’s Contribution to the Construction of a German „Kulturnation“. Scientific School Grammar between Latin Tradition and French Conceptions

  4. Historical Influences of Grassmann’s Work

    1. Front Matter

      Pages 115-115

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      Chapter

      Pages 117-130

      The Reception of H. Grassmann’s Mathematical Achievements by A. Clebsch and His School

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      Chapter

      Pages 131-145

      On the Reception of Grassmann’s Work in Germany during the 1870’s

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      Chapter

      Pages 147-153

      Reception of Grassmann’s Ideas in Bohemia

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      Chapter

      Pages 155-163

      The Influence of H. Grassmann on Italian Projective N-Dimensional Geometry

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      Chapter

      Pages 165-173

      Hermann Günther Grassmann and the Theory of Hypercomplex Number Systems

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      Chapter

      Pages 175-196

      Basis and Dimension — From Grassmann to van der Waerden

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      Chapter

      Pages 197-210

      The Emergence of Vector Calculus in Physics: The Early Decades

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      Chapter

      Pages 211-216

      Where does Grassmann Fit in the History of Logic?

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      Chapter

      Pages 217-227

      The Influence of Hermann Günther Grassmann and Robert Grassmann on Ernst Schröder’s Algebra of Logic

  5. Influences of Grassmann’s Work on Recent Developments in Science

    1. Front Matter

      Pages 229-230

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      Chapter

      Pages 231-242

      Grassmann Progressive and Regressive Products and CG-Algebras

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      Chapter

      Pages 243-254

      Grassmann’s Vision

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