Mathematical Analysis for Engineers

1. Differential operators of mathematical physics -- 2. Line integrals -- 3. Gradient vector fields -- 4. Green theorem -- 5. Surface integrals -- 6. Divergence theorem -- 7. Stokes theorem -- 8. Appendix --9. Holomorphic functions and Cauchy-Riemann equations -- 10. Complex integration -- 11. Laurent series -- 12. Residue theorem and applications -- 13. Conformal mapping -- 14. Fourier series -- 15. Fourier transform -- 16. Laplace transform -- 17. Applications to ordinary differential equations -- 18. Applications to partial differential equations -- Exercises: Differential operators of mathematical physics -- Line integrals -- Gradient vector fields -- Green theorem -- Surface integrals -- Divergence theorem -- Stokes theorem -- Holomorphic functions and Cauchy-Riemann equations -- Complex integration -- Laurent series -- Residue theorem and applications -- Conformal mapping -- Fourier series -- Fourier transform -- Laplace transform -- Applications to ordinary differential equations -- Applications to partial differential equations -- Bibliography -- Table of Fourier transform -- Table of Laplace transform.