This text is a rigorous, detailed introduction to real analysis that
presents the fundamentals with clear exposition and carefully written
definitions, theorems, and proofs. It is organized in a distinctive,
flexible way that would make it equally appropriate to undergraduate
mathematics majors who want to continue in mathematics, and to future
mathematics teachers who want to understand the theory behind calculus.
The Real Numbers and Real Analysis will serve as an excellent
one-semester text for undergraduates majoring in mathematics, and for
students in mathematics education who want a thorough understanding of
the theory behind the real number system and calculus.