ABSTRACT

The map of the arrows we have seen at the end of the first chapter is called a vector field, where an arrow (a vector quantity with both a direction and a magnitude) is specified at every position. The term vector field is often interchangeable with the term vector function, but it emphasizes that the domain of the function is spatial. These vectors do not change over time on a static vector field. On a dynamic vector field, these vectors can change and evolve over time. A dynamic vector field is like a changing landscape or a wind map under changing weather. We will first discuss static vector fields over the next few chapters and then work with dynamic vector fields later.