دانلود کتاب From Past to Future: Graßmann's Work in Context: Graßmann Bicentennial Conference, September 2009

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Front Matter....Pages i-xx
Front Matter....Pages 1-2
Description of the life of Hermann Grassmann by his son Justus Grassmann, probably written shortly after the death of his father, 1877....Pages 3-8
Life history of Robert Grassmann, written by himself (1890)....Pages 9-16
Front Matter....Pages 17-17
Discovering Robert Grassmann (1815–1901)....Pages 19-35
Hermann Grassmann’s theory of religion and faith....Pages 37-47
The Significance of Naturphilosophie for Justus and Hermann Grassmann ....Pages 49-59
Justus and Hermann Grassmann: philosophy and mathematics....Pages 61-70
Institutional development of science in Stettin in the first half of the nineteenth century in the time of Hermann Grassmann....Pages 71-84
Front Matter....Pages 85-85
Brief outline of a history of the geneticmethod in the development of the deductive sciences....Pages 87-90
Grassmann’s epistemology: multiplication and constructivism....Pages 91-100
Axiomatics and self-reference....Pages 101-116
Concepts and contrasts: Hermann Grassmann and Bernard Bolzano....Pages 117-128
Front Matter....Pages 129-129
New forms of science and new sciences of form: On the non-mathematical reception of Grassmann’s work....Pages 131-139
Some philosophical influences of the Ausdehnungslehre ....Pages 141-148
Grassmann’s influence on Husserl....Pages 149-159
Ernst Abbe’s reception of Grassmann in the light of Grassmann’s reception of Schleiermacher....Pages 161-174
On the early appraisals in Russia of H. and R. Grassmann’s achievements....Pages 175-183
Hermann Grassmann’s work and the Peano School....Pages 185-195
Did Gibbs influence Peano’s “ Calcolo geometrico secondo l’Ausdehnungslehre di H. Grassmann …”?....Pages 197-208
Rudolf Mehmke, an outstanding propagator of Grassmann’s vector calculus....Pages 209-220
Robert and Hermann Grassmann’s influence on the history of formal logic....Pages 221-228
Front Matter....Pages 129-129
Hermann Grassmann’s contribution to Whitehead’s foundations of logic and mathematics....Pages 229-240
Front Matter....Pages 241-241
Grassmann’s legacy....Pages 243-260
On Grassmann’s regressive product....Pages 261-274
Projective geometric theorem proving with Grassmann–Cayley algebra....Pages 275-285
Grassmann, geometry and mechanics....Pages 287-302
Representations of spinor groups using Grassmann exterior algebra....Pages 303-309
Hermann Grassmann’s theory of linear transformations....Pages 311-323
The Golden Gemini Spiral....Pages 325-331
A short note on Grassmann manifolds with a view to noncommutative geometry....Pages 333-342
Front Matter....Pages 343-343
Hermann Grassmann: his contributions to historical linguistics and speech acoustics....Pages 345-352
Grassmann’s “Wörterbuch des Rig-Veda” (Dictionary of Rig-Veda): a milestone in the study of Vedic Sanskrit....Pages 353-361
The Rigveda Dictionary from amodern viewpoint....Pages 363-375
Grassmann’s contribution to lexicography and the living-on of his ideas in the Salzburg Dictionary to the Rig-Veda....Pages 377-388
Front Matter....Pages 389-389
Calculation and emotion: Hermann Grassmann and Gustav Jacobsthal’s musicology....Pages 391-400
Classification of complex musical structures by Grassmann schemes....Pages 401-412
New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford....Pages 413-422
From Grassmann’s vision to geometric algebra computing....Pages 423-433
Grassmann, Pauli, Dirac: special relativity in the schoolroom....Pages 435-452
Back Matter....Pages 453-580