Paperback: ISBN 978-0-9894721-0-4
Hardcover:  ISBN 978-0-9894721-1-1

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 or download a PDF for free here. Click HERE for a PDF copy of the entire book, or get the chapters individually below.

NEW: The THIRD EDITION is here!  You can find it HERE.

• Contents

  (Click here for PDF contents, including sections of chapters.)

•  

• Preface	ix
  Introduction	x

• Part I: Fundamentals

  	1. Sets	3
  	2. Logic	33
  	3. Counting	63

• Part II: How to Prove Conditional Statements

  	4. Direct Proof	87
  	5. Contrapositive Proof	102
  	6. Proof by Contradiction	111

• Part III: More on Proof

  	7. Proving Non-Conditional Statements	121
  	8. Proofs Involving Sets	131
  	9. Disproof	146
  	10. Mathematical Induction	154

• Part IV: Relations, Functions and Cardinality

  	11. Relations	175
  	12. Functions	196
  	13. Cardinality	217

  Solutions	240
  Index	301