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Introduction to Vector Analysis

Hisashi Yokota

• Contents
• Vector
  • Space vector
  • Inner product
  • Cross produc
  • Directional cosine
  • Application of inner product and cross product
    • Area vector
    • Scalar triple product
    • Vector triple product
  
  
• Differentiation / integration of vectors
  • Space curves
  • Motion of objects
  
  
• Scalar field, vector field
  • Gradient and directional derivative
  • Line integral
  • Surface integrals
  • Divergence
  • Rotation
  
  
• Integral formula
  • Gauss's divergence theorem
  • Stokes'theorem
  
  
• Exercise Answer
• Index
• About this document ...