Vector Analysis: With an Introduction to Tensor Analysis |
Contents
CHAPTER | 1 |
2 Scalars and Vectors | 10 |
5 Illustrative Examples | 21 |
Copyright | |
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affine coördinate system angle angular velocity arbitrary point arc length axis C₁ called closed surface coefficients consider constant constitute a basis contravariant vector corresponding covariant vector curl curve defined denote determined differential direction displacement divergence theorem dt dt dt e₁ element Exercises əyi əyi function Gibbs-Wilson given grad f gradient Hence integral line integral linear vector space linearly independent necessary and sufficient normal notation obtain operation orthogonal osculating plane parallel parallelogram parameter perpendicular polar coördinates position vector quadratic form quantities quaternion real numbers rectangular Cartesian coördinates References respect result rigid body rotation satisfy scalar field scalar product Schreier-Sperner 49 sufficient condition system of base T₁ tangent vector tensor theorem tion transformation translation unique unit vector variable vector field vector space Weyl 53 zero zero-vector მე მეტ მყ