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Where can I find some good resources on tensors? I studied them few years ago in fluid mechanics and continuum medium mechanics but I forgot almost everything.
>I just remember that a tensor is to a vector what vectors are to scalars
>I remember the teacher repeating over and over that TENSORS ARE NOT MATRICES !!!
I since then graduated from a master in motion control where I hadn't had the occasion to manipulate tensors.
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We could meet up and form a study group
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>>7784940
Why would i do that? At best i might try to wrestle in some cheese whiz after smooth manifold calculations.
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>>7784942
>cheese whiz
Alright, I'm in. The only issue is, I'm British.
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>>7784943
Np, I'll visit, I already had your IP traced.
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What about tensors resources tho.
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>>7784947
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>>7784947
But I'm posting through a VPN...
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>>7784955
Then enjoy your vpn getting banned.
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You start with two vector spaces [math] V [/math] and [math] W [/math] over the same field [math] \mathbb{K} [/math].
Then you define an equivalence relation [math] \sim [/math] on [math] V \times W [/math] such that
[math](v_1, w) + (v_2, w) \sim (v_1 + v_2, w) [/math]
[math](v, w_1) + (v, w_2) \sim (v , w_1 + w_2) [/math]
[math] c (v, w) \sim (c v, w) \sim (v , c w) [/math]
for [math]v, v_1, v_2 \in V, w, w_1, w_2 \in W, c \in \mathbb{K} [/math]
Now tensors are just the elements of [math] (V \times W) / \sim [/math].
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>>7784967
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>>7784974
Actually you don't need vector spaces. You can do it with arbitrary modules over a ring.
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