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Elementy analizy tensorowej

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The second revised edition of the modern tensor analysis lecture on physical and engineering science. The author gives detailed definitions of a differentiable manifold, a vector and a tensor and explains why a vector does not belong to space at points... czytaj więcej

Elementy analizy tensorowej

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Edition:
2
Place and year of publication:
Warszawa 2018
Publication language:
polski
ISBN/ISSN:
978-83-235-3491-4
EAN:
9788323534914
Number of page:
424
Binding:
Miękka
Format:
17x24 cm
Weight:
510 g
Publication type:
Praca naukowa
DOI:
https://doi.org/10.31338/uw.9788323534990
Elements of Tensor Analysis. 2nd Edition

The second revised edition of the modern tensor analysis lecture on physical and engineering science. The author gives detailed definitions of a differentiable manifold, a vector and a tensor and explains why a vector does not belong to space at points of which it is defined. The subjects discussed include the Lie derivative and its relations to symmetries and conservation laws, relative tensors and finding geodesic lines, as well as the representation of the geodesic deviation equation in the form of a system of equations for Jacobi scalars. Apart from the main text, the publication includes examples and tasks. The last chapter is a monograph on tensor analysis applications for investigating the curvature and symmetry of a Riemann space and space-time.

Keywords: Riemann space, geodesic, differential manifold, vectors, tensors.

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