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.
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