Chapter 16


Mathematics

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Coordinate transformations.................................396 Vector analysis............................................396 Differential elements.....................................398 Definite integrals.........................................399 The Fourier transform......................................399 Useful definitions........................................400 Fourier transform theorems................................401 Fourier transform pairs...................................402 Special functions..........................................403 Spherical harmonics.......................................403 Bessel functions..........................................404 Numerical analysis.........................................404 Taylor series.............................................404 Quadrature................................................404 Six-point Gauss-Legendre..................................405 Linear interpolation......................................405 Approximations............................................405 Curve fitting (linear least-squares)......................406 Bibliography...............................................406

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