The Pythagorean theorem: a 4,000-year history
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2007
|
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | XVI, 259 S. Ill., graph. Darst., Kt., Notenbeisp. |
| ISBN: | 0691125260 9780691125268 |
Internformat
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Datensatz im Suchindex
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| adam_text | THE PYTHAGOREAN THEOREM A 4,000-YEAR HISTORY ELI MAOR PRINCETON
UNIVERSITY PRESS PRINCETON AND OXFORD CONTENTS LIST OF COLOR PLATES IX
PREFACE XI PROLOGUE: CAMBRIDGE, ENGLAND, 1993 1 1 MESOPOTAMIA, 1800 BCE
4 SIDEBAR 1: DID THE EGYPTIANS KNOW IT? 13 2 PYTHAGORAS 17 3 EUCLID S
ELEMENTS 32 SIDEBAR 2: THE PYTHAGOREAN THEOREM IN ART, POETRY, AND PROSE
45 4 ARCHIMEDES 50 5 TRANSLATORS AND COMMENTATORS, 500-1500 CE 57 6
FRANCOIS VIETE MAKES HISTORY 76 7 FROM THE INFINITE TO THE INFINITESIMAL
82 SIDEBAR 3: A REMARKABLE FORMULA BY EULER 94 8 371 PROOFS, AND THEN
SOME 98 SIDEBAR 4: THE FOLDING BAG 115 SIDEBAR 5: EINSTEIN MEETS
PYTHAGORAS ^ 117 SIDEBAR 6: A MOST UNUSUAL PROOF 119 9 A THEME AND
VARIATIONS 123 SIDEBAR 7: A PYTHAGOREAN CURIOSITY 140 SIDEBAR 8: A CASE
OF OVERUSE 142 10 STRANGE COORDINATES 145 11 NOTATION, NOTATION,
NOTATION 158 VIII * CONTENTS 12 FROM FLAT SPACE TO CURVED SPACETIME 168
SIDEBAR 9: A CASE OF MISUSE 177 13 PRELUDE TO RELATIVITY 181 14 FROM
BERN TO BERLIN, 1905-1915 188 SIDEBAR 10: FOUR PYTHAGOREAN BRAINTEASERS
197 15 BUT IS IT UNIVERSAL? 201 16 AFTERTHOUGHTS 208 EPILOGUE: SAMOS,
2005 213 APPENDIXES A. HOW DID THE BABYLONIANS APPROXIMATE V2? 219 B.
PYTHAGOREAN TRIPLES 221 C. SUMS OF TWO SQUARES 223 D. A PROOF THAT ^2 IS
IRRATIONAL 227 E. ARCHIMEDES FORMULA FOR CIRCUMSCRIBING POLYGONS 229 F.
PROOF OF SOME FORMULAS FROM CHAPTER 7 231 G. DERIVING THE EQUATION X 2B
+ Y 2 3 = 1 235 H. SOLUTIONS TO BRAINTEASERS 237 CHRONOLOGY * 241
BIBLIOGRAPHY 247 ILLUSTRATIONS CREDITS - 251 INDEX 253
|
| adam_txt |
THE PYTHAGOREAN THEOREM A 4,000-YEAR HISTORY ELI MAOR PRINCETON
UNIVERSITY PRESS PRINCETON AND OXFORD CONTENTS LIST OF COLOR PLATES IX
PREFACE XI PROLOGUE: CAMBRIDGE, ENGLAND, 1993 1 1 MESOPOTAMIA, 1800 BCE
4 SIDEBAR 1: DID THE EGYPTIANS KNOW IT? 13 2 PYTHAGORAS 17 3 EUCLID'S
ELEMENTS 32 SIDEBAR 2: THE PYTHAGOREAN THEOREM IN ART, POETRY, AND PROSE
45 4 ARCHIMEDES 50 5 TRANSLATORS AND COMMENTATORS, 500-1500 CE 57 6
FRANCOIS VIETE MAKES HISTORY 76 7 FROM THE INFINITE TO THE INFINITESIMAL
82 SIDEBAR 3: A REMARKABLE FORMULA BY EULER 94 8 371 PROOFS, AND THEN
SOME 98 SIDEBAR 4: THE FOLDING BAG 115 SIDEBAR 5: EINSTEIN MEETS
PYTHAGORAS ^ 117 SIDEBAR 6: A MOST UNUSUAL PROOF 119 9 A THEME AND
VARIATIONS 123 SIDEBAR 7: A PYTHAGOREAN CURIOSITY 140 SIDEBAR 8: A CASE
OF OVERUSE 142 10 STRANGE COORDINATES 145 11 NOTATION, NOTATION,
NOTATION 158 VIII * CONTENTS 12 FROM FLAT SPACE TO CURVED SPACETIME 168
SIDEBAR 9: A CASE OF MISUSE 177 13 PRELUDE TO RELATIVITY 181 14 FROM
BERN TO BERLIN, 1905-1915 188 SIDEBAR 10: FOUR PYTHAGOREAN BRAINTEASERS
197 15 BUT IS IT UNIVERSAL? 201 16 AFTERTHOUGHTS 208 EPILOGUE: SAMOS,
2005 213 APPENDIXES A. HOW DID THE BABYLONIANS APPROXIMATE V2? 219 B.
PYTHAGOREAN TRIPLES 221 C. SUMS OF TWO SQUARES 223 D. A PROOF THAT ^2 IS
IRRATIONAL 227 E. ARCHIMEDES' FORMULA FOR CIRCUMSCRIBING POLYGONS 229 F.
PROOF OF SOME FORMULAS FROM CHAPTER 7 231 G. DERIVING THE EQUATION X 2B
+ Y 2 ' 3 = 1 235 H. SOLUTIONS TO BRAINTEASERS 237 CHRONOLOGY * 241
BIBLIOGRAPHY 247 ILLUSTRATIONS CREDITS - 251 INDEX 253 |
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| dewey-full | 516.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| era | Geschichte gnd |
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| index_date | 2024-07-02T17:27:13Z |
| indexdate | 2024-07-09T20:57:19Z |
| institution | BVB |
| isbn | 0691125260 9780691125268 |
| language | English |
| lccn | 2006050969 |
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| physical | XVI, 259 S. Ill., graph. Darst., Kt., Notenbeisp. |
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| spelling | Maor, Eli 1937- Verfasser (DE-588)1048134733 aut The Pythagorean theorem a 4,000-year history Eli Maor Princeton [u.a.] Princeton Univ. Press 2007 XVI, 259 S. Ill., graph. Darst., Kt., Notenbeisp. txt rdacontent n rdamedia nc rdacarrier Geschichte gnd rswk-swf Théorème de Pythagore - Histoire Geschichte Pythagorean theorem History Pythagoreischer Lehrsatz (DE-588)4176546-1 gnd rswk-swf Pythagoreischer Lehrsatz (DE-588)4176546-1 s Geschichte z DE-604 http://www.loc.gov/catdir/enhancements/fy0704/2006050969-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=015633550&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maor, Eli 1937- The Pythagorean theorem a 4,000-year history Théorème de Pythagore - Histoire Geschichte Pythagorean theorem History Pythagoreischer Lehrsatz (DE-588)4176546-1 gnd |
| subject_GND | (DE-588)4176546-1 |
| title | The Pythagorean theorem a 4,000-year history |
| title_auth | The Pythagorean theorem a 4,000-year history |
| title_exact_search | The Pythagorean theorem a 4,000-year history |
| title_exact_search_txtP | The Pythagorean theorem a 4,000-year history |
| title_full | The Pythagorean theorem a 4,000-year history Eli Maor |
| title_fullStr | The Pythagorean theorem a 4,000-year history Eli Maor |
| title_full_unstemmed | The Pythagorean theorem a 4,000-year history Eli Maor |
| title_short | The Pythagorean theorem |
| title_sort | the pythagorean theorem a 4 000 year history |
| title_sub | a 4,000-year history |
| topic | Théorème de Pythagore - Histoire Geschichte Pythagorean theorem History Pythagoreischer Lehrsatz (DE-588)4176546-1 gnd |
| topic_facet | Théorème de Pythagore - Histoire Geschichte Pythagorean theorem History Pythagoreischer Lehrsatz |
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