The development of Arabic mathematics: between arithmetic and algebra
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English French |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1994
|
| Schriftenreihe: | Boston studies in the philosophy of science
156 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 372 S. graph. Darst. |
| ISBN: | 0792325656 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | ROSHDI RASHED
Centre National de la Recherche Scientifique, Paris, France
THE DEVELOPMENT OF
ARABIC MATHEMATICS:
BETWEEN ARITHMETIC AND
ALGEBRA
Translated by AFW Armstrong
KLUWER ACADEMIC PUBLISHERS
DORDRECHT/ BOSTON / LONDON
CONTENTS
Editorial Note vii
Preface ix
Introduction 1
CHAPTER I: The Beginnings of Algebra 8
1 Al-Khwarizml s Concept of Algebra 8
2 Al-KarajT 22
3 The New Beginnings of Algebra in the Eleventh and
Twelfth Centuries 34
4 Mathematical Induction: al-Karaj! and al-Samaw^al 62
CHAPTER II: Numerical Analysis 85
The Extraction of the nth Root and the Invention of Decimal
Fractions (Eleventh to Twelfth Centuries)
CHAPTER III: Numerical Equations 147
The Solution of Numerical Equations and Algebra: Sharaf
al-Dln al-TusT and Viete
CHAPTER IV: Number Theory and Combinatorial Analysis 205
1 Diophantine Analysis in the Tenth Century: al-Khazin 205
2 Ibn al-Haytham and Wilson s Theorem 238
3 Algebra and Linguistics: Combinatorial Analysis in Arabic
Science 261
4 Amicable Numbers, Aliquot Parts and Figurate Numbers
in the Thirteenth and Fourteenth Centuries 275
5 Ibn al-Haytham and Perfect Numbers 320
vi CONTENTS
APPENDIX 1: The Notion of Western Science: Science as a 332
Western Phenomenon
APPENDIX 2: Periodization in Classical Mathematics 350
Bibliography 356
Index 367
|
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| discipline | Allgemeines Geschichte Mathematik |
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| spelling | Rashed, Roshdi 1936- Verfasser (DE-588)120250446 aut Entre arithmétique et algèbre The development of Arabic mathematics between arithmetic and algebra Roshdi Rashed Dordrecht [u.a.] Kluwer 1994 X, 372 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Boston studies in the philosophy of science 156 Geschichte Mathematics, Arab History Mathematik (DE-588)4037944-9 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Arabien (DE-588)4002529-9 gnd rswk-swf Arabien (DE-588)4002529-9 g Mathematik (DE-588)4037944-9 s Geschichte (DE-588)4020517-4 s DE-604 Boston studies in the philosophy of science 156 (DE-604)BV023547349 156 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006450755&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rashed, Roshdi 1936- The development of Arabic mathematics between arithmetic and algebra Boston studies in the philosophy of science Geschichte Mathematics, Arab History Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4020517-4 (DE-588)4002529-9 |
| title | The development of Arabic mathematics between arithmetic and algebra |
| title_alt | Entre arithmétique et algèbre |
| title_auth | The development of Arabic mathematics between arithmetic and algebra |
| title_exact_search | The development of Arabic mathematics between arithmetic and algebra |
| title_full | The development of Arabic mathematics between arithmetic and algebra Roshdi Rashed |
| title_fullStr | The development of Arabic mathematics between arithmetic and algebra Roshdi Rashed |
| title_full_unstemmed | The development of Arabic mathematics between arithmetic and algebra Roshdi Rashed |
| title_short | The development of Arabic mathematics |
| title_sort | the development of arabic mathematics between arithmetic and algebra |
| title_sub | between arithmetic and algebra |
| topic | Geschichte Mathematics, Arab History Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Geschichte Mathematics, Arab History Mathematik Arabien |
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