## Schaum's Outline of Theory and Problems of Vector Analysis and an Introduction to Tensor AnalysisThis book introduces students to vector analysis, a concise way of presenting certain kinds of equations and a natural aid for forming mental pictures of physical and geometrical ideas. Students of the physical sciences and of physics, mechanics, electromagnetic theory, aerodynamics and a number of other fields will find this a rewarding and practical treatment of vector analysis. Key points are made memorable with the hundreds of problems with step-by-step solutions, and many review questions with answers. |

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### Contents

VECTORS AND SCALARS | 6 |

THE DOT AND CROSS PRODUCT | 16 |

VECTOR DIFFERENTIATION 35 | 54 |

Copyright | |

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### Common terms and phrases

A-dr A-rfr acceleration adjoining figure angle Bx3 Bx3 Bxfe called Christoffel symbols closed curve constant vector contravariant tensor coordinate surfaces coordinate system cosh covariant derivative curl curvilinear coordinates cylindrical coordinates defined denoted differentiable direction divergence theorem ds ds elliptic cylindrical coordinates Evaluate F-dr Find function given Green's theorem invariant line integral magnitude matrix metric tensor mixed tensor multiplication notation orthogonal outer product ox ox ox Ox Oy Oz Oz Ox Oz Oz parabolic cylindrical parabolic cylindrical coordinates particle perpendicular position vector Prove quantities radius rectangular coordinates region bounded relative tensor respectively result Show Similarly sin2 sint sinv SOLVED PROBLEMS space curve spherical coordinates straight line surface integral symmetric tensor of rank triangle unit normal unit tangent unit vector vector field velocity volume element xy plane zero