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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Asia Campus Textbook Collection (PhD) |
Q175 .S66 2010
(Browse shelf) 900214976 |
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Asia Campus Textbook Collection (PhD) |
Q175 .S66 2010
(Browse shelf) 900214965 |
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Europe Campus Main Collection |
Q175 .S66 2010
(Browse shelf) 32419001198526 |
Available | 32419001198526 | |||
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Europe Campus Main Collection |
Q175 .S66 2010
(Browse shelf) 32419001198534 |
Available | 32419001198534 | |||
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Europe Campus Main Collection |
Q175 .S66 2010
(Browse shelf) 32419001198542 |
Available | 32419001198542 | |||
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Europe Campus Main Collection |
Q175 .S66 2010
(Browse shelf) 32419001198559 |
Checked out | 29/04/2023 | 32419001198559 |
Doriot: for 2012-2013 courses
Includes bibliographical references and index and glossary
Digitized
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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