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1. Coordinate Transformations and Mappings 2. Loci in Three-Space 3. Transformation of Coordinates in Space; Differentiation 4. Tensor Algebra 5. Tensor Analysis 6. Vector Analysis 7. Vector Algebra 8. Differentiation of Vectors 9. Differentiation of Tensors 10. Scalar and Vector Fields 11. Integration of Vectors 12. Geodesic and Union Curves Index