Mathematical tools for continuum mechanics

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Hello^^ (I'm new here)
I want to know the mathematical tools i need to study continuum mechanics.
It would be great if someone give me a link that contains video lectures.
Thanks for help .
 

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  • #2
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Hello^^ (I'm new here)
I want to know the mathematical tools i need to study continuum mechanics.
It would be great if someone give me a link that contains video lectures.
Thanks for help .
The tools you need for continuum mechanics are ODE's, PDE's, differential geometry, and vector calculus.
 
  • #3
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Hello,
Thanks for your ansewr.
We started in class" Mécanique des milieux continus " which i translated to "Continuum mechanics".
We started by talking about the concept of deformation of a solid, about the tensor gradient of transfomation...
But it was introduced in a poor way (in class): we didn't even talk about what a tensor is..!(we took it as matrix)
....
The introduction was insufficient.. and things are vague, not rigourous and not clear to me!
So, please:
Could you tell me if i will need to know more about tensor analysis?
I'm confused about what i should ask you, but i want to know from your experiences the things that an engineer has to know...or.. (a link, a PDF, a video lecture)

PS: I tried to search in MIT ocw but couldn't find exactly what i need.
Sorry for my being not clear and thank you.
 
  • #4
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Vector-Tensor calculus, PDEs, with whatever physics is necessary. A good first start is the FREE book:
"Functional and Structured Tensor Analysis For Engineers"
 
  • #5
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