How to Read and Do Proofs
John Wiley & Sons Inc (Verlag)
978-0-471-68058-1 (ISBN)
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An easy-to-use guide that shows how to read, understand, and do proofs. Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.
Foreword.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.
| Erscheint lt. Verlag | 12.11.2004 |
|---|---|
| Zusatzinfo | Illustrations |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 158 x 238 mm |
| Gewicht | 327 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 0-471-68058-3 / 0471680583 |
| ISBN-13 | 978-0-471-68058-1 / 9780471680581 |
| Zustand | Neuware |
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