## Advanced Mathematics for Engineers: Special Courses |

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### Contents

SCALAR AND VECTOR FIELDS | 15 |

Special Types of Field | 23 |

THE THEORY OF ANALYTIC FUNCTIONS | 36 |

Copyright | |

147 other sections not shown

### Common terms and phrases

analytic function apply approximate arbitrary asymptotic asymptotic expansion asymptotically stable basis boundary conditions characteristic value coefficients complex compute conformal mapping const constant construct contour convergent coordinates corresponding defined denote derive determined differential equations domain G eigenfunctions eigenvalues eigenvectors equal to zero Euclidean Euclidean space Euler's equation example expansion expression extremum finite number formula Fredholm's func function f function y(x given half-plane Hence implies inequality infinity instance inverse kernel Laplace transformation let the reader Let us consider linear matrix means method multiply nonlinear notion obtain operator orthogonal parameter periodic periodic function plane polynomial problem properties prove quadratic form quantity relation respect rest point right-hand side Ritz method satisfying scalar singular points solution of equation sought-for space stable subspace Substituting sufficient suppose surface symmetric tensor theorem tion trajectories transformation variables variation vector field z-plane