ABSTRACT
Most of what we have covered in the previous chapters has dealt with how applied mathematics has contributed to our understanding of some of the basic and fundamental problems in physical oceanography. We have applied methods from linear algebra and matrix theory, from ordinary and partial differential equations, and obtained approximate solutions to circulation problems ranging from the reduced models of the Gulf Stream to flows in shallow water regions. We have also used several MATLAB tools based on sophisticated algorithms, algorithms whose design rely heavily on rigorous mathematical theories from matrix theory and differential equations, to obtain solutions of partial differential equations. In addition we employed many visualization utilities within MATLAB whose development are also based entirely on advanced mathematics.
