Exploring The Infinite by Kacmarcik Jennifer Brooks Jennifer E.
This is a textbook for an introductory course in analysis combining topics from a transition course. At some schools a transition course is combined over one or two semesters to introduce topics from real analysis. This allows students a more gradual approach to the difficult topics of analysis. Beginning with logic and sets this text gradually raises the sophistication level of students coming out of calculus and proceeds into analysis topics.