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P.S. My level is only solid up through all of single variable calc, with some dabbling in random fields, but feel free to put in higher level examples if need be (I hear the math in string theory is exceptionally difficult).

- Thread starter RisingSun
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- #1

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P.S. My level is only solid up through all of single variable calc, with some dabbling in random fields, but feel free to put in higher level examples if need be (I hear the math in string theory is exceptionally difficult).

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I am not qualified to make a statement about this, but hey it's late, and I just feel like posting stuff. When you asked about the math that is used in string theory, I became curious. Well after some digging, here is a rundown of the math courses:

Linear Algebra

Euclidean Geometry

Trigonometry

Single Variable Calculus

Multivariable Calculus

Ordinay Differential Equations

Partial Differential Equations

Numerical Methods and Approximations

Probability and Statistics

Real Analysis

Complex Analysis

Group Theory

Differential Geometry

Lie Groups

Differential Forms

Homology

Cohomology

Homotopy

Fiber Bundles

Characteristic Classes

Index Theorems

Supersymmetry and Supergravity

K-theory

Noncommutative Geometry

Looks like a lot of fun stuff

By the way, I got the list from:

https://nrich.maths.org/discus/messages/8577/7608.html?1082032185 [Broken]

I have no idea how qualified the person is that posted it.

Linear Algebra

Euclidean Geometry

Trigonometry

Single Variable Calculus

Multivariable Calculus

Ordinay Differential Equations

Partial Differential Equations

Numerical Methods and Approximations

Probability and Statistics

Real Analysis

Complex Analysis

Group Theory

Differential Geometry

Lie Groups

Differential Forms

Homology

Cohomology

Homotopy

Fiber Bundles

Characteristic Classes

Index Theorems

Supersymmetry and Supergravity

K-theory

Noncommutative Geometry

Looks like a lot of fun stuff

By the way, I got the list from:

https://nrich.maths.org/discus/messages/8577/7608.html?1082032185 [Broken]

I have no idea how qualified the person is that posted it.

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First of all, welcome the physics forums!RisingSun said:

P.S. My level is only solid up through all of single variable calc, with some dabbling in random fields, but feel free to put in higher level examples if need be (I hear the math in string theory is exceptionally difficult).

With all due respect, you don't even come close to the level required to understand even the most simple concepts rigorously. Which is normal for a freshman I might add

If you really want a shot at it, I'm posting a sort of introduction to string theory on my blog

http://stringschool.blogspot.com

Look for the posting "String Theory Primer".

If you've got any questions, I'll be happy to answer them

@Frogpad : The list looks ok to me. I'm not sure that K-theory and non-commutative geometry is essential, but it is certainly useful. A lot of the "harder" subjects you noted can be easily summed up by the fact that you'd better have an idea about Algebraic Geometry, Topology and Differential Geometry :-)

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I knew string theory required some crazy mathematics, I just wasn't sure how crazy it was... well, you guys take the cake with a list like that

Anyways, I'm studying electrical engineering so I doubt I'll ever see the majority of that math :) I'll stick with the baby novels, like elegant universe :)

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