Buch, Englisch, 370 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 604 g
Reihe: Boston Studies in the Philosophy and History of Science
Buch, Englisch, 370 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 604 g
Reihe: Boston Studies in the Philosophy and History of Science
ISBN: 978-90-481-4758-8
Verlag: Springer Netherlands
In this volume specialists in mathematics, physics, and linguistics present the first comprehensive analysis of the ideas and influence of Hermann G. Graßmann (1809-1877), the remarkable universalist whose work recast the foundations of these disciplines and shaped the course of their modern development.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
- Geisteswissenschaften Sprachwissenschaft Historische & Vergleichende Sprachwissenschaft, Sprachtypologie
- Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik
- Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
- Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
- Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
Weitere Infos & Material
A survey of Grassmann’s Ausdehnungslehre.- On Grassmann’s life and his work as a mathematics teacher.- Remarks on the fate of Grassmann’s Nachlaß.- The influence of Grassmann’s theory of tides on the Ausdehnungslehre.- The influence of Justus Grassmann’s crystallographic works on Hermann Grassmann.- Geometrical Product — Exponentiation — Evo-lution. Justus Günther Grassmann and dynamist Naturphilosophie.- The cooperation between Hermann and Robert Grassmann on the foundations of mathematics.- The origins of colorimetry: What did Helmholtz and Maxwell learn from Grassmann?.- Hermann Grassmann’s contribution to the construction of a German “Kulturnation” — Scientific school grammar between Latin tradition and French conceptions.- The reception of Grassmann’s mathematical achievements by A. Clebsch and his school.- The reception of Grassmann’s work in Germany during the 1870s.- Reception of Grassmann’s ideas in Bohemia.- The influence of Grassmann on Italian projective n-dimensional geometry.- Hermann Günther Grassmann and the theory of hypercomplex number systems.- Basis and Dimension — from Grassmann to van der Waerden.- Emergence of vector calculus in physics: the early decades.- Where does Grassmann fit in the history of logic?.- The influence of Hermann Günther Grassmann and Robert Grassmann on Ernst Schröder’s Algebra of Logic.- Grassmann progressive and regressive products and CG-Algebras.- Grassmann’s Vision.- Grassmann’s Dialectics and Category Theory.- The completion of Grassmann’s Natur-Wissenschaftliche Methode.- Grassmannian manifolds in geometry.- Regressive products and Bourbaki.- The Grassmann product in physics.- Array-based logic.- An application of Grassmann geometry to a problem in robotics.- Notes oncontributors.- Notes and Credits to the Illustrations.
