## Vector and tensor analysis |

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### Contents

Chapter | 3 |

Infinite Sequences and Functions | 15 |

The Calculus of Functions of Two Variables | 45 |

Copyright | |

14 other sections not shown

### Common terms and phrases

admissible sequence admissible simple contour arc length associated assume Cartesian coordinate system Christoffel symbols components Consequently constant contravariant coordinate transformation corresponding covariant curve defined Definition denote determinant dg/dt differential direction divergence theorem equal Euclidean Euclidean space exists expression extensor exterior normal force acting functional form Furthermore geodesic geometry given hence Hint indices interval intrinsic derivative invariant in functional iterated integrals Kronecker deltas line integral Lorentz-Einstein mass mathematical member of equation normal number system observer obtained origin parameter parameterized arc partial derivatives particle plane Prob Problems Proof properties Prove quantities question radius vector real number rectangular Cartesian coordinate regard region relationship respect right member right-handed rotation scalar Similarly single-valued space special relativity surface integral system x tangent vector tensor analysis tion transformation equations unit vector vanishes variables vector analysis velocity volume world line x-system zero