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Titlebook: Ricci-Calculus; An Introduction to T J. A. Schouten Book 1954 Springer-Verlag Berlin Heidelberg 1954 Derivative.Lie.algebra.calculus.curvat

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11#
發(fā)表于 2025-3-23 13:11:23 | 只看該作者
12#
發(fā)表于 2025-3-23 15:06:11 | 只看該作者
Miscellaneous examples,Let .. be rectilinear coordinates in an ordinary ... Then the distance . of an arbitrary point .. from the origin is .and by differentiation we get
13#
發(fā)表于 2025-3-23 20:57:20 | 只看該作者
14#
發(fā)表于 2025-3-24 00:10:14 | 只看該作者
Book 1954STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel- index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal
15#
發(fā)表于 2025-3-24 06:17:39 | 只看該作者
16#
發(fā)表于 2025-3-24 07:33:43 | 只看該作者
Linear connexions, rectilinear coordinate system, .. and ?... are a vector and a tensor because if (.′) is another rectilinear system, the .. are constants. .. is the difference between the vector .... at .... and a vector with the components .. at the same point. This latter vector can be derived from the vector ..
17#
發(fā)表于 2025-3-24 12:48:47 | 只看該作者
Variations and deformations,etrical objects suffer a finite or infinitesimal transformation and the behaviour of some other objects depending on them is required. In deformation problems we deal with the special case where the variation is due to displacements of some kind, for instance a dragging along or a parallel displacem
18#
發(fā)表于 2025-3-24 15:11:50 | 只看該作者
Variations and deformations,ent. The case occurring most frequently is that some objects are left at rest, others are dragged along and others are displaced parallel. The theory of variation and deformation is very important because a great number of problems in differential geometry can be treated in a very elegant way by using the methods of this theory.
19#
發(fā)表于 2025-3-24 20:45:45 | 只看該作者
20#
發(fā)表于 2025-3-25 03:09:14 | 只看該作者
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