I’m not sure why, but it would seem Dan Sloughter of Furman University thinks his A Primer of Real Analysis has few defined prerequisites. He mentions a standard sequence of calculus courses (usually 3-4 semesters), exposure to ideas of mathematical proof (including induction) and familiarity with such topics as equivalence relations and the elementary algebraic properties of the integers.
My guess is if you are looking for an real analysis textbook that you have already taken those courses but be prepared for an advanced mathematics course here. And if you need review on any of his non-prerequisites, I’m sure there’s something here on The Free Textbook List that can help.
Chapter Titles for A Primer of Real Analysis
- Fundamentals
- Sequences and Series
- Cardinality
- Topology of the Real Line
- Limits and Continuity
- Derivatives
- Integrals
- More Functions
View this Free Online Material at the source:
A Primer of Real Analysis
