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Mathematical topics

  1. Aug 17, 2014 #1
    Hello, it is said that maths is the language of science, specifically physics. I am posting to ask which areas of mathematics are used in sections of physics.

    In a months time I will be studying:

    Solid state physics
    Thermal and statistical physics
    Maxwells equations, relativity and optics
    Image processing


    The areas of maths that im revising are:

    Partial differentiation
    Differential equations (ordinary and partial)
    Fourier series
    Vector calculus



    Are there any other areas that are used within these topics?
     
  2. jcsd
  3. Aug 17, 2014 #2

    jtbell

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    Staff: Mentor

    For Maxwell's equations (electrodynamics) in particular you should add multiple integration (line, surface and volume integrals); also, the vector differentiation operators (div, grad, curl) if they're not already included under your "partial differentiation" entry.
     
  4. Aug 17, 2014 #3

    pasmith

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    Homework Helper

    I would be greatly surprised if all these topics were not covered in "vector calculus".
     
  5. Aug 17, 2014 #4

    jtbell

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    Staff: Mentor

    Bleah. :yuck: After I saw "partial differentiation" I thought, "what about multivariable integration" and mentally skipped over "vector calculus" at the end.
     
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