Mathematical Physics This classic text focuses on pedagogy to enhance comprehension for students and make it more suitable for independent study. |
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analytic arbitrary Bessel functions boundary conditions C₁ calculate cartesian coefficients complex numbers components Consider const constant contravariant convergence coordinate system cosh covariant deduce defined denoted derivative diagonal differential equations distribution eigenfunctions eigenvalues eigenvectors evaluate Example expression Figure finite fn(x follows formula Fourier series Fourier sine Fourier sine series Fourier transform frequency function f(x given grad Green's function hermitian infinite initial conditions inner product instance integral Laplace transform Legendre Legendre polynomials linearly independent matrix method modes multiply N-tuples nonhomogeneous normal obtain operator orthogonal physical polynomials problem Remark represents respect result rotation satisfy scalar Section sequence Show shown in Fig sinh solution solve spherical string symmetric tensor term theorem u₁ values vanish variable vector space wave yields zero ди дик ду ппх