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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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- Thread starter Pressure
- Start date

In summary, a person is seeking help in finding the necessary mathematical tools for studying continuum mechanics. They specifically mention needing knowledge in ODEs, PDEs, differential geometry, and vector calculus. They also mention struggling with understanding tensors and ask for recommendations on resources to learn more about them. They mention trying to search for resources but not finding what they need. A recommendation is made for the book "Functional and Structured Tensor Analysis for Engineers" and a link is provided for a document on tensor analysis that the person found helpful.

- #1

- 2

- 0

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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The tools you need for continuum mechanics are ODE's, PDE's, differential geometry, and vector calculus.Pressure said:

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 .

- #3

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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.

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"Functional and Structured Tensor Analysis For Engineers"

- #5

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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

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