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Vector Calculus

Vector and Tensor Calculus

Topics

  • Multidimensional Vectors
  • Limits and Continuity
  • Differentiation of Vector Function
  • Multiple Integrals
  • Line Integrals
  • Surface Integrals
  • Curvilinear Coordinates
  • Tensors
  • Tensors in Coordinates
  • Tensor Calculus

These notes were written based on and using excerpts from the book Multivariable and Vector Calculus'' by David Santos and includes excerpts from Vector Calculus'' by Michael Corral, from Linear Algebra via Exterior Products'' by Sergei Winitzki, Linear Algebra'' by David Santos and from ``Introduction to Tensor Calculus'' by Taha Sochi.

These books are also available  under the terms of the GNU Free Documentation License.

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