Passage to Abstract Mathematics
Passage to Abstract Mathematics facilitates the transition from introductory mathematics courses to the more abstract work that occurs in advanced courses. The text covers logic, proof, numbers, sets, induction, functions, cardinality, and more-material which instructors of upper-level courses often presume their students have already mastered but is generally missing from lower-level courses. This streamlined text can realistically be covered in a semester. The authors resisted the temptation to include topics that are covered in the advanced courses for which this course is a prerequisite.
The text assumes students have taken at least two semesters of calculus. Occasionally, the authors also refer to multivariable calculus and linear algebra, but these are not essential to the understanding of the text.