## Mathematical methods for scientists and engineers |

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### Contents

Elements of Function Theory | 1 |

Differential Calculus | 14 |

Integral Calculus | 46 |

Copyright | |

19 other sections not shown

### Common terms and phrases

analytic function angle asymptotic Bessel functions bounded circle coefficients complex numbers complex variable components compute Consequently consider constant continuous function convenient coordinates corresponding cosh covariant curve defined denoted determinant differential equation domain dx dy element elliptic integral evaluated example exists expressed in terms formula Fourier func gamma function given Green's theorem independent integral equation integral representation integrand interval inverse Laguerre polynomials Legendre limit line integral linear transformation mapping function matrix means method obtained orthogonal orthonormal set partial derivatives path poles polygon polynomials positive number potential power series prob quadratic form radius radius of convergence random variables real axis region relation respect result satisfy scalar product set of functions shown in Fig solution surface integral tensor of order theorem tion traverses vanish vector velocity written xy plane zero