Mathematical Analysis, Volume 1: The Zakon Series on Mathematical Analysis

This text grew out of the lecture notes from the author at the University of Windsor and was originally copyrighted in 1975. It is now published by the Trillia Group, a publishing company started by his son-in-law, Bradley Lucier, a professor of mathematics and computer science at Purdue. The level of the book is appropriate for a rigorous analysis course. The author writes in the introduction that “we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.” The chapter titles are:Set TheoryReal Numbers. FieldsVector Spaces. Metric SpacesFunction Limits and ContinuityDifferentiation and Antidifferentiation