Tensor CalculusAlpha Science Int'l Ltd., 2005 - 170 Seiten This work covers all the basic topics of tensor analysis in a lucid and clear language and is aimed at both the undergraduate and postgraduate in Civil, Mechanical and Aerospace Engineering and in Engineering Physics. |
Inhalt
Preface | 1 |
Tensor Algebra | 15 |
Tensor Calculus | 64 |
GeodesicsRiemannian Coordinates and Geodesic Coordi | 158 |
History of Tensor Calculus | 166 |
Häufige Begriffe und Wortgruppen
agij Aijk Aijkl arbitrary tensor axi axi called Cartesian coordinate system Christoffel symbols cofactor contravariant tensor contravariant vector covariant derivative covariant tensor covariant vector curvature tensor defined denoted ds² dummy index dx ¹)² equation Euclidean space Example Exercise Əgij Əgik Əxi Əxk functions geodesic Hence interchanging the dummy invariant Let us consider log g metric tensor mixed tensor number of independent orthogonal prove quotient law rectangular Cartesian coordinate relative tensor replacing the dummy respect Rhijk Ricci tensor Riemannian space Rijk scalar scalar curvature second order skew-symmetric symmetric tensor system ¹ tensor calculus tensor of order tensor of type term Theorem transformation vanish identically zero απ δι λι მე მე მედ მეს მთ მი მუ მყ