Partial differential equations of applied mathematics

Preface. 1. Random Walks and Partial Differential Equations. 2. First Order Partial Differential Equations. 3. Classification of Equations and Characteristics. 4. Initial and Boundary Value Problems in Bounded Regions. 5. Integral Transforms. 6. Integral Relations. 7. Green's Functions. 8. variational and Other Methods. 9. Regular Perturbation Methods. 10. Asymptotic Methods. 11. Finite Difference Methods. 12. Finite Element Methods in Two Dimensions. Bibliography. Index.