Applied mathematics in hydraulic engineering an introduction to nonlinear differential equations - Mizumura, Kazumasa 1948- (Singapore World Scientific Publishing, 2011)
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.
Includes bibliographical references (pages 417-420) and index.
Keywords: Hydraulic engineering -- Mathematics; Differential equations, Nonlinear