Find Surface Area of an N-Dimensional Sphere

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SUMMARY

The discussion focuses on deriving the formula for the surface area of an n-dimensional sphere. The original poster seeks clarification on the concept, which they encountered in a statistical mechanics class but did not fully grasp. The inquiry emphasizes the need for a clear derivation and understanding of the mathematical principles involved. Responses indicate that the question may have been addressed in other forums, suggesting that additional resources may be available for deeper exploration.

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  • Understanding of n-dimensional geometry
  • Familiarity with mathematical derivations
  • Basic knowledge of statistical mechanics
  • Concept of surface area in higher dimensions
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fizixx
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Hello everyone...

I mistakenly posted this question in a math section, met with insufficient answers. :frown: My fault there, but here's the gist:

How do you find the surface area of an n-dimensional sphere?​

I ran across this concept in a stat-mech class a long, long time ago...didn't understand it very well at the time. It was an aside kind of thing the prof did during a lecture. I thought if I spent a little one-on-one time with the concept I would 'get it', but the rigors of homework, research, etc disallowed the quality time intended, so I ended up putting this into my mental closet for rainy-day thinking, and of course, never got back to it, but I'm still very curious about it.

Can someone do this derivation and explain the thinking behind it please?


:confused:
 
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fizixx said:
How do you find the surface area of an n-dimensional sphere?

what do you mean "find"? do you want an epression for the amount of surface "area" of an n-dimensional sphere, given a "radius"?
 
Looks to me like you have plenty of responses in the math fourm.
 

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