Math required for Statistical and solid state physics

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Discussion Overview

The discussion focuses on the mathematical methods needed for graduate-level courses in statistical mechanics and solid state physics. Participants are exploring the relevant mathematical concepts and techniques that would be beneficial for understanding these subjects.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant inquires about the mathematical methods frequently encountered in statistical mechanics and solid state physics.
  • Another participant suggests reviewing probability theory, including binomial coefficients, the law of large numbers, and the central limit theorem, as well as Gaussian integrals and series expansions for statistical physics.
  • A participant questions the necessity of tensor analysis, Fourier series/transform, and complex analysis for these subjects.
  • One response indicates that tensor analysis, Fourier series/transform, and complex analysis are not required for statistical physics.
  • Another participant simply states "Probability," implying its significance.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the mathematical prerequisites for statistical mechanics and solid state physics, with some participants suggesting specific areas of focus while others express uncertainty about the necessity of certain mathematical tools.

Contextual Notes

Participants have not reached a consensus on the complete list of mathematical methods required, and there are varying opinions on the relevance of tensor analysis, Fourier series/transform, and complex analysis.

kini.Amith
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I have to take a graduate level statistical mech course and a solid state physics course next sem (starting in feb).As I will be dealing with these topics for the first time, I'd like to like to prepare myself for them by learning/revising the math involved in them. What are the mathematical methods that frequently appear in these subjects?
 
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For statistical physics, I suggest a review of probability theory (including binomial coefficients, law of large numbers, central limit theorem). Knowing how to tackle Gaussian integrals is also important. A review of series expansions is also useful.
 
Will I require tensor analysis, Fourier series/transform and complex analysis? These are some of the things I am not quite in touch with.
 
kini.Amith said:
Will I require tensor analysis, Fourier series/transform and complex analysis?
Not for statistical physics.
 
Probability
 

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