TY - BOOK AU - Mizumura,Kazumasa TI - Applied mathematics in hydraulic engineering: an introduction to nonlinear differential equations SN - 9789814299558 PY - 2011/// CY - Singapore PB - World Scientific Pub. KW - Hydraulic engineering KW - Mathematics KW - Differential equations, Nonlinear N1 - Includes bibliographical references and index; 1. Introduction -- 2. Differentiations -- 3. Integrations -- 4. Vector and tensor -- 5. Ordinary differential equations -- 6. Complex functions and complex integrals -- 7. Conformal mapping -- 8. Partial differential equation of the first-order -- 9. Special fuctions -- 10. Fourier series and integral -- 11. Laplace transform -- 12. Wave equations -- 13. Potential equations -- 14. Diffusion equations -- 15. Solution of nonlinear equations -- 16. Linearization methods -- 17. Method of boundary-layer theory -- 18. Variational method -- 19. Perturbation methods -- 20. Nonlinear systems analysis N2 - This is a teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering-- ER -