Elementy analizy tensorowej. Wydanie 2
Elements of Tensor Analysis. 2nd Edition

Author(s): Leszek M. Sokołowski
Subject(s): Geography, Regional studies
Published by: Wydawnictwa Uniwersytetu Warszawskiego
Keywords: Riemann space; geodesic; differential manifold; vectors; tensors
Summary/Abstract: 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.

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