Mathematical Analysis in Engineering : How to Use the Basic Tools (Paperback)

Preface; Achnowledgments; 1. Formulation of physical problems; 2. Classification of equations; 3. One-dimensional waves; 4. Finite domains and separation of variables; 5. Elements of Fourier series; 6. Introduction to Green's functions; 7. Unbounded domains and Fourier transforms; 8. Bessel functions and circular domains; 9. Complex variables; 10. Laplace transform and initial value problems; 11. Conformal mapping and hydrodynamics; 12. Riemann?Hilbert problems in hydrodynamics and elasticity; 13. Perturbation methods - the art of approximation; 14. Computer algebra for perturbation analysis; Appendices; Bibliography; Index.