How to Read and Do Proofs

An Introduction to Mathematical Thought Processes

Daniel Solow (Autor)

Buch | Softcover

224 Seiten

2003 | 3rd edition
John Wiley and Sons (WIE) (Verlag)
978-0-471-45300-0 (ISBN)

Infos

This book categorizes, identifies and explains the various techniques that are used repeatedly in all proofs and explains how to read proofs that arise in mathematical literature by understanding which techniques are used and how they are applied.

Inhalt

Foreword; Preface to the Student; Preface to the Instructor; Acknowledgments; The Truth of It All; The Forward-Backward Method; On Definitions and Mathematical Terminology; Quantifiers I: The Construction Method; Quantifiers II: The Choose Method; Quantifiers III: Specialization; Quantifiers IV: Nested Quantifiers; The Contradiction Method; The Contrapositive Method; Nots of Nots Lead to Knots; Uniqueness Methods and Induction; Either/Or and Max/Min Methods; Summary; Appendix A: Putting It All Together: Part I; Appendix B: Putting It All Together: Part II; Solutions to Selected Exercises; Glossary; References; Index

Produkt-Details

• Erscheint lt. Verlag: 10.6.2003
• Verlagsort: New York
• Sprache: englisch
• Maße: 157 x 238 mm
• Gewicht: 312 g
• Einbandart: Paperback
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 0-471-45300-5 / 0471453005
• ISBN-13: 978-0-471-45300-0 / 9780471453000
• Zustand: Neuware