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How to read and do proofs: an introduction to mathematical thought processes

Author: Solow, Daniel Publisher: Wiley, 2010.Edition: 5th ed.Language: EnglishDescription: 301 p. ; 23 cm.ISBN: 9780470392164Type of document: BookNote: Doriot: for 2012-2013 coursesBibliography/Index: Includes bibliographical references and index and glossary
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Doriot: for 2012-2013 courses

Includes bibliographical references and index and glossary

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How to Read and Do Proofs An Introduction to Mathematical Thought Processes Contents Foreword Preface to the Student Preface to the Instructor Acknowledgrnents 1 The Truth of It All 2 The Forward-Backward Method 3 On Definitions and Mathematical Terminology Quantifiers I: The Construction Method 5 Quantifiers II: The Choose Method 6 Quantifiers Specialization ix xi xiii xvi 1 9 25 41 51 67 79 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 91 99 113 123 131 143 153 161 Appendix A Examples of Proofs from Discrete Mathematics 175 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 189 207 225 243 289 297 299

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