How to read and do proofs : an introduction to mathematical thought processes
著者
書誌事項
How to read and do proofs : an introduction to mathematical thought processes
John Wiley & Sons, c2002
3rd ed
- : pbk
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注記
Bibliography: p. 199-200
Includes index
内容説明・目次
内容説明
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.
目次
- 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
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