Mathematical tools for continuum mechanics

[Pressure]

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 .

 

[Chestermiller]

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.

 

[Pressure]

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.

 

[Aero51]

Vector-Tensor calculus, PDEs, with whatever physics is necessary. A good first start is the FREE book:
"Functional and Structured Tensor Analysis For Engineers"

 

[Chestermiller]

Yes. You really need to know tensor analysis. Here is a link to a document that I was very impressed by, and which appeared in Physics Forums in the section on Learning Materials.
http://www.grc.nasa.gov/WWW/K-12/Numbers/Math/documents/Tensors_TM2002211716.pdf

I think you will find it very easy to learn from, and the material is presented in a very effective way.

Chet