- Part 1: Introductory calculus
- Part 2: Analysis of functions of one variable
Part 2 contains rigorous proofs of theorems from Part 1. In particular, they introduce the order structure on a real line using axioms of an ordered field. It is worth mentioning that Part 2 contains elements of topology obviously on real line and a good insight on convex functions. The convex functions relate Analysis to linear spaces equipped with norm. Finally, to close Part 2 the authors supply a number of Appendices, among them Appendices on logic, set theory and Peano axioms.
Remarkably, Volume I contains 360 problems with complete solutions.
Readership: Undergraduate students in mathematics.