From Past to Future: Graßmann's Work in Context

Table of Contents

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   Book Overview
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   Chapter 1 Description of the life of Hermann Grassmann by his son Justus Grassmann, probably written shortly after the death of his father, 1877
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   Chapter 2 Life history of Robert Grassmann, written by himself (1890)
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   Chapter 3 Discovering Robert Grassmann (1815–1901)
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   Chapter 4 Hermann Grassmann’s theory of religion and faith
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   Chapter 5 The Significance of Naturphilosophie for Justus and Hermann Grassmann
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   Chapter 6 Justus and Hermann Grassmann: philosophy and mathematics
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   Chapter 7 Institutional development of science in Stettin in the first half of the nineteenth century in the time of Hermann Grassmann
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   Chapter 8 Brief outline of a history of the geneticmethod in the development of the deductive sciences
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    Chapter 9 Grassmann’s epistemology: multiplication and constructivism
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    Chapter 10 Axiomatics and self-reference
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    Chapter 11 Concepts and contrasts: Hermann Grassmann and Bernard Bolzano
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    Chapter 12 New forms of science and new sciences of form: On the non-mathematical reception of Grassmann’s work
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    Chapter 13 Some philosophical influences of the Ausdehnungslehre
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    Chapter 14 Grassmann’s influence on Husserl
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    Chapter 15 Ernst Abbe’s reception of Grassmann in the light of Grassmann’s reception of Schleiermacher
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    Chapter 16 On the early appraisals in Russia of H. and R. Grassmann’s achievements
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    Chapter 17 Hermann Grassmann’s work and the Peano School
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    Chapter 18 Did Gibbs influence Peano’s “ Calcolo geometrico secondo l’Ausdehnungslehre di H. Grassmann …”?
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    Chapter 19 Rudolf Mehmke, an outstanding propagator of Grassmann’s vector calculus
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    Chapter 20 Robert and Hermann Grassmann’s influence on the history of formal logic
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    Chapter 21 Hermann Grassmann’s contribution to Whitehead’s foundations of logic and mathematics
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    Chapter 22 Grassmann’s legacy
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    Chapter 23 On Grassmann’s regressive product
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    Chapter 24 Projective geometric theorem proving with Grassmann–Cayley algebra
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    Chapter 25 Grassmann, geometry and mechanics
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    Chapter 26 Representations of spinor groups using Grassmann exterior algebra
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    Chapter 27 Hermann Grassmann’s theory of linear transformations
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    Chapter 28 The Golden Gemini Spiral
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    Chapter 29 A short note on Grassmann manifolds with a view to noncommutative geometry
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    Chapter 30 Hermann Grassmann: his contributions to historical linguistics and speech acoustics
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    Chapter 31 Grassmann’s “Wörterbuch des Rig-Veda” (Dictionary of Rig-Veda): a milestone in the study of Vedic Sanskrit
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    Chapter 32 The Rigveda Dictionary from amodern viewpoint
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    Chapter 33 Grassmann’s contribution to lexicography and the living-on of his ideas in the Salzburg Dictionary to the Rig-Veda
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    Chapter 34 Calculation and emotion: Hermann Grassmann and Gustav Jacobsthal’s musicology
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    Chapter 35 Classification of complex musical structures by Grassmann schemes
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    Chapter 36 New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford
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    Chapter 37 From Grassmann’s vision to geometric algebra computing
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    Chapter 38 Grassmann, Pauli, Dirac: special relativity in the schoolroom