## Mathematical physics |

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### Contents

Vectors Matrices and Coordinates | xiii |

Functions of a Complex Variable | 44 |

Linear Differential Equations of Second Order | 123 |

Copyright | |

14 other sections not shown

### Common terms and phrases

analytic arbitrary assume Bessel Bessel functions boundary conditions calculate cartesian Cauchy theorem coefficients complex numbers components Consider const constant contour contravariant convergence coordinate system cosh covariant curl curve deduce defined denoted derivative diagonal differential equations distribution eigenfunctions eigenvalues eigenvectors Euler-Lagrange equation evaluate Example expression Figure finite follows formula Fourier series Fourier sine Fourier sine series Fourier transform Frobenius function f(x given grad Green's function harmonic Helmholtz equation hermitian homogeneous infinite infinity initial conditions inner product instance integral interval Laplace transform Laurent series Legendre linear linearly independent matrix method multiply nonhomogeneous normal notation obtain operator orthogonal partial physical piecewise plane pole polynomials problem Remark represents respect result rotation satisfy scalar Section sequence Show shown in Fig sinh solution solve spherical symmetric tensor term theorem values vanish variable vector space verify wave yields zero