Title
Gausche Flchentheorie, Riemannsche Rume Und Minkowskiwelt (Teubnerarchiv Zur Mathematik) (German Edition),Used
Delivery time: 8-12 business days (International)
In der Reihe 'TEUBNERARCHIV zur Mathematik' werden bedeutende klassische Arbeiten kommentiert, mit aktuellen Anmerkungen versehen und durch Literaturhin weise ergiinzt. Dieser erste Band enthillt fotomechanische Nachdrucke von vier Beitragen der Mathe matiker C. F. GAUSS, B. RIEMANN und H. MINKOWSKI. Diese Arbeiten waren grund legend filr die Entwicklung und Weiterentwicklung der Differentialgeometrie als innere Geometrie bis zur allgemeinen Rel, ativitatstheorie. Es ist gewiB nicht nur ein Zufall, daB sich filr diese drei Manner die produktive Zeit des Wirkens auf dem genannten Gebiet der Geometrie in der Universitiitsstadt Gottingen vollzog. Durch die folgenden Satze ALBERT EINSTEINS aus seiner Abhandlung tiber die Grund ztige der Relativitatstheorie aus dem Jahre 1922 lassen sich in einfacher und klarer Weise die diesbeztiglichen Verdienste dieser drei Mathematiker charakterisieren: 'GAUSS hat in seiner Fliichentheorie die metrischen Eigenschaften einer in einem dreidimensionalen euklidischen Raum eingebetteten Fliiche untersucht und gezeigt, daB diese durch Begriffe beschrieben werden konnen, die sich nur auf die Flache selbst, nicht aber auf die Ein bettung beziehen . . . RIEMANN dehnte den GauBschen Gedankengang auf Kontinua beliebiger Dimensionszahl aus; er hat die physikalische Bedeutung dieser Verallgemei nerung der Geometrie EUKLIDS mit prophetischem Blick vorausgesehen . . . Durch die Einfilhrung der imaginiiren Zeitvariable X4 = it hat MINKOWSKI die Invariantentheorie des vierdimensionalen Kontinuums des physikalischen Geschehens der des dreidimen sionalen Kontinuums des euklidischen Raumes vollig analog gemacht.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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