Applied mathematics in hydraulic engineering :
Mizumura, Kazumasa, 1948-
Applied mathematics in hydraulic engineering : an introduction to nonlinear differential equations / Hydraulic engineering Kazumasa Mizumura. - Singapore ; Hackensack, NJ : World Scientific, c2011. - xi, 424 p. : ill. ; 24 cm.
Applied Mathematics in Hydraulic Engineering is an excellent teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering. Undergraduates studying civil and coastal engineering, as well as analysis and differential equations, are started off applying calculus to the treatment of nonlinear partial differential equations, before given the chance to practice real-life problems related to the fields. This textbook is not only a good source of teaching materials for teachers or instructors, but is also useful as a comprehensive resource of mathematical tools to researchers.
Includes bibliographical references (p. 417-420) 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.
This is a teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering--
9789814299558 9814299553 (pbk.)
Hydraulic engineering
Differential equations, Nonlinear.--Mathematics.
627.015 / MIZ
Applied mathematics in hydraulic engineering : an introduction to nonlinear differential equations / Hydraulic engineering Kazumasa Mizumura. - Singapore ; Hackensack, NJ : World Scientific, c2011. - xi, 424 p. : ill. ; 24 cm.
Applied Mathematics in Hydraulic Engineering is an excellent teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering. Undergraduates studying civil and coastal engineering, as well as analysis and differential equations, are started off applying calculus to the treatment of nonlinear partial differential equations, before given the chance to practice real-life problems related to the fields. This textbook is not only a good source of teaching materials for teachers or instructors, but is also useful as a comprehensive resource of mathematical tools to researchers.
Includes bibliographical references (p. 417-420) 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.
This is a teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering--
9789814299558 9814299553 (pbk.)
Hydraulic engineering
Differential equations, Nonlinear.--Mathematics.
627.015 / MIZ