Carol Schumacher's Chapter Zero: Fundamental Notions of Abstract Mathematics (Featured Titles for Transition to Advanced Mathematics)
This book is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which Readers
construct their own understanding. However, while Readers
are called upon to write their own proofs, they are also encouraged to Work
in groups. There are few finished proofs contained in the text, but the author offers "proof sketches" and helpful technique Tips
to help Readers
as they develop their proof writing skills. This book is most successful in a small, seminar style class. Logic, Sets, Induction, Relations, Functions, Elementary Number Theory, Cardinality, The Real Numbers For all Readers
interested in abstract mathematics.