物理數學

this is a course whose main object is to strengthen the mathematical methods that aspiring scientists and engineers which are likely to encounters as students and beginning researchers.

微積分、向量分析、微分方程

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4 homeworks 100%

• Ch 13: Gamma Function

  1. Definitions, properties 2. Digamma and polygamma functions 3. Beta function 4. Stirling’s series 5. Riemann Zeta function

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• Ch 14: Bessel Functions

  1. Bessel functions of the first kind 2. Orthogonality 3. Neumann function 4. Modified Bessel functions 5. Asymptotic expansion

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• Ch 15: Legendre Functions

  1. Legendre polynomials 2. Orthogonality 3. Generating function 4. Associate Legendre functions 5. Spherical harmonics

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• Ch 22: Calculus of variations

  1. Euler Equation 2. More general variations 3. Constrained Minima/Maxima 4. Variations with constraints

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Mathematical Methods for Physicists, By Arfken, Weber and Harris, 7th Ed.

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