Engineering Mathematics for Marine Applications

Advance your mathematical problem-solving and design skills for engineering in the ocean environment with this single cohesive source.

Umesh A. Korde (Author), R. Cengiz Ertekin (Author)

9781108421041, Cambridge University Press

Hardback, published 25 May 2023

400 pages
25 x 17.5 x 2.8 cm, 0.89 kg

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.

Subject Areas: Mechanics of fluids [TGMF]