How to read and do proofs: an introduction to mathematical thought processes
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Hoboken, NJ
Wiley
2010
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Ausgabe: | 5. ed. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XVIII, 301 S. graph. Darst. |
ISBN: | 9780470392164 |
Internformat
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Datensatz im Suchindex
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adam_text | Titel: How to read and do proofs
Autor: Solow, Daniel
Jahr: 2010
Contents
Foreword ix
Preface to the Student xi
Preface to the Instructor xiii
Acknowledgments xvi
1 The Truth of It All 1
2 The Forward-Backward Method 9
3 On Definitions and Mathematical Terminology 25
4 Quantifiers I: The Construction Method J^l
5 Quantifiers II: The Choose Method 51
6 Quantifiers III: Specialization 67
7 Quantifiers IV: Nested Quantifiers 79
viii CONTENTS
8 Nots of Nots Lead to Knots 91
9 The Contradiction Method 99
10 The Contrapositive Method 113
11 The Uniqueness Methods 123
12 Induction 131
13 The Either/Or Methods 143
14 The Max/Min Methods 153
15 Summary 161
Appendix A Examples of Proofs from Discrete Mathematics 175
Appendix B Examples of Proofs from Linear Algebra 189
Appendix C Examples of Proofs from Modern Algebra 207
Appendix D Examples of Proofs from Real Analysis 225
Solutions to Selected Exercises 243
Glossary 289
References 297
Index 299
|
any_adam_object | 1 |
author | Solow, Daniel |
author_GND | (DE-588)141538406 |
author_facet | Solow, Daniel |
author_role | aut |
author_sort | Solow, Daniel |
author_variant | d s ds |
building | Verbundindex |
bvnumber | BV025594890 |
classification_rvk | SK 130 |
classification_tum | MAT 036f |
ctrlnum | (OCoLC)699606916 (DE-599)BVBBV025594890 |
dewey-full | 511.36 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.36 |
dewey-search | 511.36 |
dewey-sort | 3511.36 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 5. ed. |
format | Book |
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isbn | 9780470392164 |
language | English |
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spelling | Solow, Daniel Verfasser (DE-588)141538406 aut How to read and do proofs an introduction to mathematical thought processes Daniel Solow 5. ed. Hoboken, NJ Wiley 2010 XVIII, 301 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Beweis (DE-588)4132532-1 gnd rswk-swf Formaler Beweis (DE-588)4506115-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Mathematische Logik (DE-588)4037951-6 s Formaler Beweis (DE-588)4506115-4 s DE-604 Beweis (DE-588)4132532-1 s Mathematik (DE-588)4037944-9 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020190962&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Solow, Daniel How to read and do proofs an introduction to mathematical thought processes Beweis (DE-588)4132532-1 gnd Formaler Beweis (DE-588)4506115-4 gnd Mathematik (DE-588)4037944-9 gnd Mathematische Logik (DE-588)4037951-6 gnd |
subject_GND | (DE-588)4132532-1 (DE-588)4506115-4 (DE-588)4037944-9 (DE-588)4037951-6 (DE-588)4151278-9 |
title | How to read and do proofs an introduction to mathematical thought processes |
title_auth | How to read and do proofs an introduction to mathematical thought processes |
title_exact_search | How to read and do proofs an introduction to mathematical thought processes |
title_full | How to read and do proofs an introduction to mathematical thought processes Daniel Solow |
title_fullStr | How to read and do proofs an introduction to mathematical thought processes Daniel Solow |
title_full_unstemmed | How to read and do proofs an introduction to mathematical thought processes Daniel Solow |
title_short | How to read and do proofs |
title_sort | how to read and do proofs an introduction to mathematical thought processes |
title_sub | an introduction to mathematical thought processes |
topic | Beweis (DE-588)4132532-1 gnd Formaler Beweis (DE-588)4506115-4 gnd Mathematik (DE-588)4037944-9 gnd Mathematische Logik (DE-588)4037951-6 gnd |
topic_facet | Beweis Formaler Beweis Mathematik Mathematische Logik Einführung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020190962&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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