Part I. The Foundations: 1. Vector calculus I; 2. Vector calculus II; 3. Complex variables; 4. Fourier analysis; Part II. Understanding Dynamic Systems: 5. Ordinary differential equations I; 6. Ordinary differential equations II; 7. Partial differential equations I; 8. Partial differential equations II; Part III. Mathematics of Scaling: 9. Dimensional analysis; Part IV. Marine Applications: 10. Viscous-fluid flow; 11. Ideal-fluid flow; 12. Water waves; 13. Wave diffraction and wave loads; 14. Prescribed body motions and floating bodies; 15. Irregular-sea analysis; Part V. Variational Methods: 16. Introduction to analytical dynamics; References; Author index; Index.
Advance your mathematical problem-solving and design skills for engineering in the ocean environment with this single cohesive source.
Umesh A. Korde works on wave energy, waves, oscillating systems, and control. His recent interests include dynamics of natural and engineered multi-scale systems with a focus on energy and climate. He is a Fellow of the American Society of Mechanical Engineers. Cengiz Ertekin's research includes nonlinear wave theories, hydroelasticity, wave energy, and storm impact. He is a Fellow of the American Society of Mechanical Engineers and the Society of Naval Architects and Marine Engineers. He is the Founder and Editor-in-Chief of Journal of Ocean Engineering and Marine Energy.
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