Summary

In this chapter, we have built a solid foundation that will carry us through the rest of this book. We started with two fundamental mathematical concepts: sets and functions. From there, we defined a binary operation as being a function with two input values from sets. We combined all of these concepts to create groups, fields, and our ultimate goal, vector spaces. In the next chapter, we will look at all the great things we can do with these vectors that live in vector spaces!