 How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, 4th Edition
ISBN: 978-0-471-68058-1
Paperback
288 pages
October 2004
US $55.95
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Preface to the Student.
Preface to the Instructor.
Acknowledgments.
1. The Truth of It All.
2. The Forward-Backward Method.
3. On Definitions and Mathematical Terminology.
4. Quantifiers I: The Construction Method.
5. Quantifiers II: The Choose Method.
6. Quantifiers III: Specialization.
7. Quantifiers IV: Nested Quantifiers.
8. Nots of Nots Lead to Knots.
9. The Contradiction Method.
10. The Contrapositive Method.
11. Uniqueness Methods and Induction.
12. Either/or and Max/Min Methods.
13. Summary.
Appendix A: Examples of Proofs from Discrete Mathematics.
Appendix B: Examples of Proofs from Linear Algebra.
Appendix C: Examples of Proofs from Modern Algebra.
Appendix D: Examples of Proofs from Real Analysis.
Solutions to Select Exercises.
Glossary.
References.
Index.
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