Engineering Mathematics for Marine Applications

Gaining expertise in marine floating systems typically requires access to multiple resources to obtain the knowledge required, but this book fills the long-felt need for a single cohesive source that brings together the mathematical methods and dynamic analysis techniques required for a meaningful analysis, primarily, of large and small bodies in oceans. You will be introduced to fundamentals such as vector calculus, Fourier analysis, and ordinary and partial differential equations. Then you'll be taken through dimensional analysis of marine systems, viscous and inviscid flow around structures surface waves, and floating bodies in waves. Real-life applications are discussed and end of chapter problems help ensure full understanding. Students and practicing engineers will find this an invaluable resource for developing problem solving and design skills in a challenging ocean environment through the use of engineering mathematics.

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.