From Past to Future: Gra▀mann's Work in Context: Gra▀mann Bicentennial Conference, September 2009

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Hans-Joachim Petsche, Albert C. Lewis, J÷rg Liesen, Steve Russ
Springer Science & Business Media, Dec 16, 2010 - Mathematics - 580 pages
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On the occasion of the 200th anniversary of the birth of Hermann Gra▀mann (1809-1877), an interdisciplinary conference was held in Potsdam, Germany, and in Gra▀mann's hometown Szczecin, Poland. The idea of the conference was to present a multi-faceted picture of Gra▀mann, and to uncover the complexity of the factors that were responsible for his creativity. The conference demonstrated not only the very influential reception of his work at the turn of the 20th century, but also the unexpected modernity of his ideas, and their continuing development in the 21st century.

This book contains 37 papers presented at the conference. They investigate the significance of Gra▀mann's work for philosophical as well as for scientific and methodological questions, for comparative philology in general and for Indology in particular, for psychology, physiology, religious studies, musicology, didactics, and, last but not least, mathematics. In addition, the book contains numerous illustrations and English translations of original sources, which are published here for the first time. These include life histories of Gra▀mann (written by his son Justus) and of his brother Robert (written by Robert himself), as well as the paper "On the concept and extent of pure theory of number'' by Justus Gra▀mann (the father).

 

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Contents

Historical contexts of Hermann Grassmanns creativity
17
Philosophical and methodological aspects of the work of the Grassmann brothers
86
Diversity of the influence of the Grassmann brothers
130
Present and future of Hermann Grassmanns ideas in mathematics
241
Present and future of Hermann Grassmanns ideas in philology
344
Hermann Grassmanns impact on music computing and education
390
Appendix
453
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