0
votes
0answers
203 views

Invariants of a tensor [closed]

I asked (almost) the same question in the math exchange. I'm teaching a course, and I need a simple and intuitive proof that the invariants of a matrix ($3\times3$, but it doesn't matter) can be ...
3
votes
2answers
361 views

What is the mathematical formulation for buckling?

Argument: Buckling is an engineering concept that can only be applied to thin columns with compressive loading. (Is it possible to) Prove the above sentence right or wrong with mathematical ...
6
votes
2answers
1k views

What is the covariant derivative in mathematician's language?

In mathematics, we talk about tangent vectors and cotangent vectors on a manifold at each point, and vector fields and cotangent vector fields (also known as differential one-forms). When we talk ...