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.
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