# Tagged Questions

Use this tag for questions about specific tensors (curvature tensor, stress tensor), or questions regarding tensor computations as they appear in multivariable calculus and differential/Riemannian geometry (specifically, when it is amenable to be treated as objects with multiple indices that ...

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### Infinitesimal Strain Tensor in a Cubic Crystal

I'm currently working through Vectors and Tensor in Engineering and Physics, and there's a problem regarding the strain tensor that I'm having a bit of trouble with. Given a cubic crystal with zero ...
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### Geometric Significance of some features of the Exterior Algebra

I've been tinkering with differential forms for a while now, and I've had a few questions all rolled into one trying to understand them. The exterior derivative is quite natural to me - it looks just ...
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### Series Relation

$\{A_n\}$ is a sequence of 4th order tensors. $lim_{n\rightarrow\infty}A_n = O_4$, where $O_4$ is the null 4th order tensor. The series $\sum_{n=1}^{\infty}A_n$ converge to a known tensor $B$. I ...
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### Linearize Matrix Equation

I want to find a linearized formula for G in terms of A. $G = B^TC^{-1}T(I+BA)$ $G$ is 4x2 $B$ is a constant matrix 2x4 $A$ is a variable matrix 4x2 $C = I + A^TB^T + BA + BAA^TB^T$, so $C$ is ...
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### Symbol of differential operator and change of coordinates

Some time ago I posted the question about the change of coordinates in differential operator. Here is the relevant discussion Symbol of differential operator transforms like a cotangent vector The ...
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### Tensor Book Recommendation Request

Requirements Tensors Intuitive + Practical Reason for Tensor Introduction Current Knowledge Course Notes Abstract + Theoretical
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### Vector as directional derivate? [duplicate]

The Poor Man’s Introduction to Tensors - by Justin C. Feng. https://web2.ph.utexas.edu/~jcfeng/notes/Tensors_Poor_Man.pdf On page 3, "Before I can tell you what a tensor is, I must tell you what a ...