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hammack r book proof 3ed 2018

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Textbook in PDF format In this third edition, Chapter 3 (on counting) has been expanded, and a new chapter on calculus proofs has been added. New examples and exercises have been added throughout. My decisions regarding revisions have been guided by both the Amazon reviews and emails from readers, and I am grateful for all comments. I have taken pains to ensure that the third edition is compatible with the second. Exercises have not been reordered, although some have beed edited for clarity and some new ones have been appended. (The one exception is that Chapter 3’s reorganization shifted some exercises.) The chapter sequencing is identical between editions, with one exception: The ﬁnal chapter on cardinality has become Chapter 14 in order to make way for the new Chapter 13 on calculus proofs. There has been a slight renumbering of the sections within chapters 10 and 11, but the numbering of the exercises within the sections is unchanged. This core of this book is an expansion and reﬁnement of lecture notes I developed while teaching proofs courses over the past 18 years at Virginia Commonwealth University (a large state university) and Randolph-Macon College (a small liberal arts college). I found the needs of these two audiences to be nearly identical, and I wrote this book for them. But I am mindful of a larger audience. I believe this book is suitable for almost any undergraduate mathematics program

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