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Die Entwicklung Des Tensorkalkuls: Vom Absoluten Differentialkalkul Zur Relativitatstheorie on Paperback by Karin Reich
Die Entwicklung Des Tensorkalkuls: Vom Absoluten Differentialkalkul Zur Relativitatstheorie on Paperback by Karin Reich
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Entwicklung Des Tensorkalkuls

Vom Absoluten Differentialkalkul Zur Relativitatstheorie
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Description

Die allgemeine Relativitastheorie lasst sich nur mit Hilfe des Tensorkalkuls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differentialkalkuls kennen. Dessen Schopfer war Gregorio Ricci, dem zusammen mit Sophus Lie und anderen der Ausbau der Theorie der Differentialinvarianten gelang. Der absolute Differentialkalkul passte zur allgemeinen Relativitatstheorie wie ein Schlussel zum Schloss: der in den Jahren 1884-92 von Ricci entwickelte Kalkul erfullte in der Tat genau das physikalische Konzept der allgemeinen Relativitatstheorie, das Einstein 1907-15 ausarbeitete. Ein derartiges Zusammenpassen war nur dadurch moglich, weil sowohl Ricci innerhalb der Mathematik als auch Einstein innerhalb der Physik vergleichbare Fragen stellten, namlich Fragen nach Invarianten bei speziellen Transformationen. Es wird versucht, den historischen Weg so genau wie moglich anhand der Quellen nachzuzeichnen. Neu ist die Herausarbeitung des invariantentheoretischen Aspekts, dem gegenuber die Bedeutung der Differentialgeometrie fur die Entwicklung des Tensorkalkuls in den Hintergrund treten muss.
Release date NZ
October 10th, 2012
Author
Audience
  • General (US: Trade)
Country of Publication
United Kingdom
Illustrations
black & white illustrations, bibliography
Imprint
Birkhauser
Pages
334
Dimensions
178x254x18
ISBN-13
9783034896436
Product ID
21575383

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