How to Read and Do Proofs
John Wiley & Sons Ltd (Verlag)
978-0-470-39216-4 (ISBN)
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When engineers, computer scientists, and economists need to learn how to read, think about, and create proofs, they turn to Solow. In order to make the material more relevant, the exercises in each chapter have been revised and expanded. New and more complete discussions are included on how to use a previously-proved proposition in both the forward and backward processes. The fifth edition also presents new, self-contained chapters on uniqueness, induction, either/or, and max/min methods. Several final examples of how to read and do proofs are included in the final chapter to reinforce the reader's knowledge of the various proof techniques.
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. The Uniqueness Methods 12. Induction. 13. The Either/Or Methods. 14. The Max/Min Methods. 15. 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 Selected Exercises. Glossary. References. Index.
| Erscheint lt. Verlag | 12.1.2010 |
|---|---|
| Verlagsort | Chichester |
| Sprache | englisch |
| Maße | 152 x 226 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 0-470-39216-9 / 0470392169 |
| ISBN-13 | 978-0-470-39216-4 / 9780470392164 |
| Zustand | Neuware |
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