Reviewed by Michael Barrus, Assistant Professor, University of Rhode Island on 2/1/18 I would definitely recommend this textbook to other colleagues. I haven't found any text in the book that is culturally insensitive or offensive. I have not observed any grammatical errors in the text.
#Proof of satisfactory pdf#
I love the downloaded pdf with quick links to particular Chapter and Sections in the book. The only chapter that I don't usually cover is Chapter 3 and the Chapter on proofs in Calculus. The author does a great job on organizing the book. Usually I can cover at least one section or two for each class. There is a few longer chapters, but these chapters are divided in to manageable sections. The way the book is organized, things are easily divided into smaller sections. The textbook is very consistent except on the aspect listed in the previous comment about paragraph proofs.
However, the book contradicts this throughout the book with proofs that do not follow this format. I stress at the beginning of the class the mathematical norms of the class (what we expect in terms of proofs and proving in the class for the semester) and the book points out that proofs are written in paragraph form with complete sentence. I just have one minor thing that would help with clarity. Adding some more homework problems that present a new mathematical definition and corresponding proofs dealing with this new definition would be very beneficial for introduction to proof students (to prepare students for aspects in upper-level proof courses). The textbook is very relevant and has served as a good textbook for an introduction to proof course. I have not found any errors in the textbook other than a place where the author says he is using a proof of the contrapositive but proceeds to prove it by a proof by contradiction. There is plenty of material in the book for a very thorough treatment of proofs and flexibility with other chapters devoted to counting, calculus, and other material. Covers a basic review of sets and set operations, logic and logical statements, all the proof techniques, set theory proofs, relation and functions, and additional material that is helpful for upper-level proof course preparation (like a chapter on proofs in calculus). Reviewed by David Miller, Professor, West Virginia University on 4/18/19 Journalism, Media Studies & Communications +.
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