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.