Advanced engineering mathematics / Alan Jeffrey.

Pt. 1. Review Material -- Ch. 1. Review of Prerequisites -- Pt. 2. Vectors and Matrices -- Ch. 2. Vectors and Vector Spaces -- Ch. 3. Matrices and Systems of Linear Equations -- Ch. 4. Eigenvalues, Eigenvectors, and Diagonalization -- Pt. 3. Ordinary Differential Equations -- Ch. 5. First Order Differential Equations -- Ch. 6. Second and Higher Order Linear Differential Equations and Systems -- Ch. 7. The Laplace Transform -- Ch. 8. Series Solutions of Differential Equations, Special Functions, and Sturm - Liouville Equations -- Pt. 4. Fourier Series, Integrals, and The Fourier Transform -- Ch. 9. Fourier Series -- Ch. 10. Fourier Integrals and the Fourier Transform -- Pt. 5. Vector Calculus -- Ch. 11. Vector Differential Calculus -- Ch. 12. Vector Integral Calculus -- Pt. 6. Complex Analysis -- Ch. 13. Analytic Functions -- Ch. 14. Complex Integration -- Ch. 15. Laurent Series, Residues, and Contour Integration -- Ch. 16. The Laplace Inversion Integral -- Ch. 17. Conformal Mapping and Applications to Boundary Value Problems -- Pt. 7. Partial Differential Equations -- Ch. 18. Partial Differential Equations -- Pt. 8. Numerical Mathematics -- Ch. 19. Numerical Mathematics.