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Vector Analysis

Takuichi Hirano (Nov. 11, 2003)

1. Coordinate Systems

• Cartesian Coordinates
• Cylindrical Coordinates
• Spherical Coordinates

• Various coordinate systems
• Unit vector notation

2. Functions

2.1 Scalar Functions

• 2-D Scalar Function

3. Softwares

3.1 MATLAB (numerical calculation)

• Gradient (grad): grad.m
• Divergence (div): div.m
• Rotation (rot, curl): rot.m

3.2 Mathematica (symbolic calculation)

• VectorAnalysis Package: vector_analysis.pdf

A. Appendix

• Vector identities(PDF)
• Curvature can be neglected in integrals(PDF)
• Notes on vector and nabla operator expressions(PDF)

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