Applications of Vector Analysis and Complex Variables in Engineering

1. Vectors in Three-Dimensional Space.- 2. Vector Fields.- 3. Fundamental Equations for Fluid Mechanics.- 4. Integral Theorems.- 5. Coordinate Transformations; Definitions of Vectors and Tensors.- 6. Partial Differential Equations of the First Order.- 7. Partial Differential Equations of the Second Order.- 8. The Elliptic Case: Two Complex Characteristics.- 9. Applications of Complex Variables.- 10. The Parabolic Case: Two Coinciding Characteristics.- 11. The Hyperbolic Case: Two Real Characteristics.- 12. Hyperbolic Quasi Linear Partial Differential Equations.- 13. The Navier-Stokes Equations.- Appendix A. Numerical Integration of the Cauchy Integral.- Appendix B. List of Problems with Page Numbers.