© 2013 by Richard Hammack; This work is licensed under the Creative Commons AttributionNo Derivative Works 3.0 License 

ISBN: 9780989472104 
BOOK OF PROOF 
(Second Edition) 
Richard Hammack 
Paperback: ISBN 9780989472104
Hardcover: ISBN 9780989472111
This book is an introduction to the standard methods of proving mathematical theorems. It has been approved by the American Institute of Mathematics' Open Textbook Initiative. Also see the Mathematical Association of America Math DL review (of the 1st edition), the Amazon reviews,
and a brief news story on VCU InSight.
Order a copy from Amazon or Barnes & Noble for $16.46 or download a PDF for free here. Click HERE for a PDF copy of the entire book, or get the chapters individually below.
WARNING: Avoid online sellers that offer the book new for under $12. This is below the cost of production and you are likely to get a sloppilybound printout of the PDF file offered for free here. Order from reputable sellers (e.g. Amazon, Barnes and Noble, or your college bookstore) to guarantee a highquality product.
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Contents 
(Click here for PDF contents, including sections of chapters.) 
ix 

Introduction  x 
1. Sets 
3 

2. Logic 
33 

3. Counting 
63 
4. Direct Proof 
87 

102 

111 
121 

131 

9. Disproof 
146 

154 
11. Relations 
175 

12. Functions 
196 

13. Cardinality 
217 
Solutions  240 
Index  301 
Thanks to readers around the world who wrote to report mistakes and typos! I will continue to incorporate reader feedback in periodic revisions. Please contact me if you find any additional mistakes. My email address is on my home page.