## Generalized vector and dyadic analysis: applied mathematics in field theory |

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### Contents

Coordinate Systems | 8 |

Line Integrals Surface Integrals and Volume Integrals | 21 |

Vector Analysis in Space | 36 |

Copyright | |

8 other sections not shown

### Common terms and phrases

a x b x c Appendix Cartesian coordinate system Cartesian system contour coordinate variables curl theorem curvilinear orthogonal system cylindrical defined denoted derived differential expression differential form differential operator divergence theorem Dupin system dvi dv2 dx dy dyadic analysis dyadic function dyadic-dyadic Green's theorem Equation evaluated formula function f functions in vector Gauss theorem gradient theorem Helmholtz theorem hence integral of Type integral theorems Laplacian Lemma line integral metric coefficients notations obtain JJJ plane position vector relationship scalar component scalar function scalar product shown in Fig Stokes theorem surface curl surface divergence surface gradient surface integral symbolic expression symbolic method symbolic vector tion transport theorem unit vectors v x F vector algebra vector analysis vector expression vector function vector Green's theorem vector identities vector product vector-dyadic Green's theorem Weatherburn written