Differential Calculus from a More General Point of View

In this chapter we re-describe differential calculus, however, in a much more general, advanced and universal form which allows us to use this powerful tool far beyond real-valued functions, discussed in the first part of the textbook. Formally speaking, this chapter is independent of the material presented earlier, but without the background acquired by reading the first volume, the reader, most likely, would not recognize the rich content of the beautiful abstractions appearing here.