How to read and do proofs: an introduction to mathematical thought processes
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, N.J.
Wiley
2005
|
| Edition: | 4. ed. |
| Subjects: | |
| Online Access: | Table of contents only Publisher description Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 265-266) and index |
| Physical Description: | XVIII, 269 S. 25 cm |
| ISBN: | 0471680583 9780471680581 |
Staff View
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV035056614 | ||
| 003 | DE-604 | ||
| 005 | 20081110 | ||
| 007 | t | ||
| 008 | 080917s2005 xxu |||| 00||| eng d | ||
| 010 | |a 2004058651 | ||
| 020 | |a 0471680583 |c pbk. : acidfree paper |9 0-471-68058-3 | ||
| 020 | |a 9780471680581 |9 978-0-471-68058-1 | ||
| 035 | |a (OCoLC)56413065 | ||
| 035 | |a (DE-599)BVBBV035056614 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-384 | ||
| 050 | 0 | |a QA9.54 | |
| 082 | 0 | |a 511.3/6 | |
| 084 | |a QH 120 |0 (DE-625)141532: |2 rvk | ||
| 100 | 1 | |a Solow, Daniel |e Verfasser |0 (DE-588)141538406 |4 aut | |
| 245 | 1 | 0 | |a How to read and do proofs |b an introduction to mathematical thought processes |c Daniel Solow |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Hoboken, N.J. |b Wiley |c 2005 | |
| 300 | |a XVIII, 269 S. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 265-266) and index | ||
| 650 | 7 | |a Lógica matemática |2 larpcal | |
| 650 | 7 | |a Matemática (estudo e ensino) |2 larpcal | |
| 650 | 7 | |a Métamathématique |2 ram | |
| 650 | 7 | |a Preuve, Théorie de la |2 ram | |
| 650 | 4 | |a Proof theory |v Textbooks | |
| 650 | 4 | |a Logic, Symbolical and mathematical |v Textbooks | |
| 650 | 0 | 7 | |a Mathematische Logik |0 (DE-588)4037951-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Beweis |0 (DE-588)4132532-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Formaler Beweis |0 (DE-588)4506115-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Mathematische Logik |0 (DE-588)4037951-6 |D s |
| 689 | 0 | 1 | |a Formaler Beweis |0 (DE-588)4506115-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Beweis |0 (DE-588)4132532-1 |D s |
| 689 | 1 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/wiley051/2004058651.html |3 Table of contents only | |
| 856 | 4 | |u http://www.loc.gov/catdir/enhancements/fy0618/2004058651-d.html |3 Publisher description | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch Darmstadt |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016725194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016725194 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804137998996996096 |
|---|---|
| adam_text | HOW TO READ AND DO PROOFS AN INTRODUCTION TO MATHEMATICAL THOUGHT
PROCESSES FOURTH EDITION DANIEL SOLOW DEPARTMENT OF OPERATIONS
WEATHERHEAD SCHOOL OF MANAGEMENT CASE WESTERN RESERVE UNIVERSITY
CLEVELAND, OH 44106 E-MAIL: DANIEL.SOLOW@CASE.EDU WEB:
HTTP://WEATHERHEAD.CWRU.EDU/SOLOW/ WILEY JOHN WILEY & SONS, INC.
CONTENTS FOREWORD IX PREFACE TO THE STUDENT XI PREFACE TO THE INSTRUCTOR
XIII ACKNOWLEDGMENTS XVII 1 THE TRUTH OF IT ALL 1 2 THE FORWARD-BACKWARD
METHOD 9 3 ON DEFINITIONS AND MATHEMATICAL TERMINOLOGY 23 4 QUANTIFIERS
I: THE CONSTRUCTION METHOD 35 5 QUANTIFIERS II: THE CHOOSE METHOD 1^5 6
QUANTIFIERS III: SPECIALIZATION 59 7 QUANTIFIERS IV: NESTED QUANTIFIERS
69 VIII CONTENTS 8 NOTS OF NOTS LEAD TO KNOTS 79 9 THE CONTRADICTION
METHOD 87 10 THE CONTRAPOSITIVE METHOD 99 11 UNIQUENESS METHODS AND
INDUCTION 107 12 EITHER/OR AND MAX/MIN METHODS 123 13 SUMMARY 135
APPENDIX A EXAMPLES OF PROOFS FROM DISCRETE MATHEMATICS 143 APPENDIX B
EXAMPLES OF PROOFS FROM LINEAR ALGEBRA 157 APPENDIX C EXAMPLES OF PROOFS
FROM MODERN ALGEBRA 175 APPENDIX D EXAMPLES OF PROOFS FROM REAL ANALYSIS
193 SOLUTIONS TO SELECTED EXERCISES 211 GLOSSARY 257 REFERENCES 265
INDEX 267
|
| adam_txt |
HOW TO READ AND DO PROOFS AN INTRODUCTION TO MATHEMATICAL THOUGHT
PROCESSES FOURTH EDITION DANIEL SOLOW DEPARTMENT OF OPERATIONS
WEATHERHEAD SCHOOL OF MANAGEMENT CASE WESTERN RESERVE UNIVERSITY
CLEVELAND, OH 44106 E-MAIL: DANIEL.SOLOW@CASE.EDU WEB:
HTTP://WEATHERHEAD.CWRU.EDU/SOLOW/ WILEY JOHN WILEY & SONS, INC.
CONTENTS FOREWORD IX PREFACE TO THE STUDENT XI PREFACE TO THE INSTRUCTOR
XIII ACKNOWLEDGMENTS XVII 1 THE TRUTH OF IT ALL 1 2 THE FORWARD-BACKWARD
METHOD 9 3 ON DEFINITIONS AND MATHEMATICAL TERMINOLOGY 23 4 QUANTIFIERS
I: THE CONSTRUCTION METHOD 35 5 QUANTIFIERS II: THE CHOOSE METHOD 1^5 6
QUANTIFIERS III: SPECIALIZATION 59 7 QUANTIFIERS IV: NESTED QUANTIFIERS
69 VIII CONTENTS 8 NOTS OF NOTS LEAD TO KNOTS 79 9 THE CONTRADICTION
METHOD 87 10 THE CONTRAPOSITIVE METHOD 99 11 UNIQUENESS METHODS AND
INDUCTION 107 12 EITHER/OR AND MAX/MIN METHODS 123 13 SUMMARY 135
APPENDIX A EXAMPLES OF PROOFS FROM DISCRETE MATHEMATICS 143 APPENDIX B
EXAMPLES OF PROOFS FROM LINEAR ALGEBRA 157 APPENDIX C EXAMPLES OF PROOFS
FROM MODERN ALGEBRA 175 APPENDIX D EXAMPLES OF PROOFS FROM REAL ANALYSIS
193 SOLUTIONS TO SELECTED EXERCISES 211 GLOSSARY 257 REFERENCES 265
INDEX 267 |
| any_adam_object | 1 |
| any_adam_object_boolean | 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 | BV035056614 |
| callnumber-first | Q - Science |
| callnumber-label | QA9 |
| callnumber-raw | QA9.54 |
| callnumber-search | QA9.54 |
| callnumber-sort | QA 19.54 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 120 |
| ctrlnum | (OCoLC)56413065 (DE-599)BVBBV035056614 |
| dewey-full | 511.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/6 |
| dewey-search | 511.3/6 |
| dewey-sort | 3511.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| edition | 4. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02553nam a2200613zc 4500</leader><controlfield tag="001">BV035056614</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20081110 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">080917s2005 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2004058651</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471680583</subfield><subfield code="c">pbk. : acidfree paper</subfield><subfield code="9">0-471-68058-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780471680581</subfield><subfield code="9">978-0-471-68058-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)56413065</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035056614</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA9.54</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3/6</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 120</subfield><subfield code="0">(DE-625)141532:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Solow, Daniel</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)141538406</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">How to read and do proofs</subfield><subfield code="b">an introduction to mathematical thought processes</subfield><subfield code="c">Daniel Solow</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">4. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hoboken, N.J.</subfield><subfield code="b">Wiley</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 269 S.</subfield><subfield code="c">25 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 265-266) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Lógica matemática</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Matemática (estudo e ensino)</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Métamathématique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Preuve, Théorie de la</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Proof theory</subfield><subfield code="v">Textbooks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic, Symbolical and mathematical</subfield><subfield code="v">Textbooks</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Logik</subfield><subfield code="0">(DE-588)4037951-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Beweis</subfield><subfield code="0">(DE-588)4132532-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Formaler Beweis</subfield><subfield code="0">(DE-588)4506115-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematische Logik</subfield><subfield code="0">(DE-588)4037951-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Formaler Beweis</subfield><subfield code="0">(DE-588)4506115-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Beweis</subfield><subfield code="0">(DE-588)4132532-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/toc/wiley051/2004058651.html</subfield><subfield code="3">Table of contents only</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/enhancements/fy0618/2004058651-d.html</subfield><subfield code="3">Publisher description</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016725194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016725194</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV035056614 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T21:58:47Z |
| indexdate | 2024-07-09T21:21:12Z |
| institution | BVB |
| isbn | 0471680583 9780471680581 |
| language | English |
| lccn | 2004058651 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016725194 |
| oclc_num | 56413065 |
| open_access_boolean | |
| owner | DE-384 |
| owner_facet | DE-384 |
| physical | XVIII, 269 S. 25 cm |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Wiley |
| record_format | marc |
| spelling | Solow, Daniel Verfasser (DE-588)141538406 aut How to read and do proofs an introduction to mathematical thought processes Daniel Solow 4. ed. Hoboken, N.J. Wiley 2005 XVIII, 269 S. 25 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 265-266) and index Lógica matemática larpcal Matemática (estudo e ensino) larpcal Métamathématique ram Preuve, Théorie de la ram Proof theory Textbooks Logic, Symbolical and mathematical Textbooks Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf Formaler Beweis (DE-588)4506115-4 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 http://www.loc.gov/catdir/toc/wiley051/2004058651.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0618/2004058651-d.html Publisher description HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016725194&sequence=000001&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 Lógica matemática larpcal Matemática (estudo e ensino) larpcal Métamathématique ram Preuve, Théorie de la ram Proof theory Textbooks Logic, Symbolical and mathematical Textbooks Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd Beweis (DE-588)4132532-1 gnd Formaler Beweis (DE-588)4506115-4 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4037944-9 (DE-588)4132532-1 (DE-588)4506115-4 (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_exact_search_txtP | 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 | Lógica matemática larpcal Matemática (estudo e ensino) larpcal Métamathématique ram Preuve, Théorie de la ram Proof theory Textbooks Logic, Symbolical and mathematical Textbooks Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd Beweis (DE-588)4132532-1 gnd Formaler Beweis (DE-588)4506115-4 gnd |
| topic_facet | Lógica matemática Matemática (estudo e ensino) Métamathématique Preuve, Théorie de la Proof theory Textbooks Logic, Symbolical and mathematical Textbooks Mathematische Logik Mathematik Beweis Formaler Beweis Einführung |
| url | http://www.loc.gov/catdir/toc/wiley051/2004058651.html http://www.loc.gov/catdir/enhancements/fy0618/2004058651-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016725194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT solowdaniel howtoreadanddoproofsanintroductiontomathematicalthoughtprocesses |