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Author Topic: What topics of math needed to understand Both theories of Relativity ?  (Read 2453 times)

ScientificBoysClub

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What topics of math needed to understand Both theories of Relativity ?

Special theory of relativity !?
General theory of relativity ?

What about M-theory or membrane theory or string theory ?
What topics of math I should be good at ?


 

Offline PhysBang

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To understand the theories, you first need to handle some basic algebra and linear algebra (working with matrices). Once you can handle that, it's a quick jump to tensors, which are a way of shortening a lot of the mathematics involved. Once one gets a handle of a couple of rules, working with tensors can be pretty striaghtforward. Tensor albegra provides the basics of the system in which one will then do calculus.

So you need:
algebra,
linear algbra,
tensor algebra,
calculus

You'll probably have to pick up a little geometry, but you are likely to learn enough learning the above areas.
 

ScientificBoysClub

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To understand the theories, you first need to handle some basic algebra and linear algebra (working with matrices). Once you can handle that, it's a quick jump to tensors, which are a way of shortening a lot of the mathematics involved. Once one gets a handle of a couple of rules, working with tensors can be pretty striaghtforward. Tensor albegra provides the basics of the system in which one will then do calculus.

So you need:
algebra,
linear algbra,
tensor algebra,
calculus

You'll probably have to pick up a little geometry, but you are likely to learn enough learning the above areas.
What about group theory ?
 

Offline PhysBang

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If you'd like to really, really get deep into the theory, you have to understand some of group theory and more advanced calculus in order to look at manifolds and gauge invariance.
 

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