An introduction to the history of algebra: solving equations from Mesopotamian times to the Renaissance
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Multiple French |
| Veröffentlicht: |
Providence
American Mathematical Society
2009
|
| Schriftenreihe: | Mathematical world
27 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | VIII, 174 S. Ill., graph. Darst. |
| ISBN: | 9780821844731 |
Internformat
MARC
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| 240 | 1 | 0 | |a Introduction à l'histoire de l'algèbre |
| 245 | 1 | 0 | |a An introduction to the history of algebra |b solving equations from Mesopotamian times to the Renaissance |c Jacques Sesiano ; transl. by Anna Pierrehumbert |
| 264 | 1 | |a Providence |b American Mathematical Society |c 2009 | |
| 300 | |a VIII, 174 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical world |v 27 | |
| 500 | |a Includes bibliographical references and index | ||
| 648 | 7 | |a Geschichte Anfänge-1800 |2 gnd |9 rswk-swf | |
| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Algebra |x History | |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Geschichte Anfänge-1800 |A z |
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Datensatz im Suchindex
| _version_ | 1804140766687133696 |
|---|---|
| adam_text | Titel: An introduction to the history of algebra
Autor: Sesiano, Jacques
Jahr: 2009
Contents
Preface
vu
Chapter 1. Algebra in Mesopotamia 1
1.1. Introduction 1
1.2. Linear Systems 4
1.3. Quadratic Equations and Systems 9
Chapter 2. Algebra in Ancient Greece 17
2.1. Introduction 17
2.2. Common Algebra 19
2.3. Diophantine Algebra 31
Chapter 3. Algebra in the Islamic World 53
3.1. Introduction 53
3.2. Al-Khwârizmï 56
3.3. Abu Kàmil 63
3.4. The Geometric Construction of Solutions of the Quadratic
Equation 79
3.5. The Cubic Equation 80
Chapter 4. Algebra in Medieval Europe 93
4.1. Introduction 93
4.2. The Liber mahameleth 95
4.3. Leonardo Fibonacci 101
4.4. Later Developments 115
Chapter 5. Algebra in the Renaissance 123
5.1. The Development of Algebraic Symbolism 123
5.2. The General Solution of the Cubic and Quartic Equations 125
5.3. The Solution of the Cubic Equation in Italy 129
5.4. The Solution of the Quartic Equation in Italy 134
5.5. Bombelli and Imaginary Numbers 135
5.6. Casus irreducibiles 140
vi CONTENTS
Appendix A. Mesopotamian Texts in Translation 143
Appendix B. Greek and Latin Texts 147
Appendix C. Arabic Texts 157
Appendix D. Hebrew Text 163
Appendix E. French, German, Italian, and Provengal Texts 165
Index 171
|
| any_adam_object | 1 |
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| dewey-full | 512.009 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte Anfänge-1800 gnd |
| era_facet | Geschichte Anfänge-1800 |
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| id | DE-604.BV035813912 |
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| indexdate | 2024-07-09T22:05:12Z |
| institution | BVB |
| isbn | 9780821844731 |
| language | English Multiple French |
| lccn | 2009008068 |
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| physical | VIII, 174 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical world |
| series2 | Mathematical world |
| spelling | Sesiano, Jacques 1944- Verfasser (DE-588)139170308 aut Introduction à l'histoire de l'algèbre An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance Jacques Sesiano ; transl. by Anna Pierrehumbert Providence American Mathematical Society 2009 VIII, 174 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical world 27 Includes bibliographical references and index Geschichte Anfänge-1800 gnd rswk-swf Geschichte Algebra History Algebra (DE-588)4001156-2 gnd rswk-swf Algebra (DE-588)4001156-2 s Geschichte Anfänge-1800 z b DE-604 Mathematical world 27 (DE-604)BV004574320 27 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018672780&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sesiano, Jacques 1944- An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance Mathematical world Geschichte Algebra History Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 |
| title | An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance |
| title_alt | Introduction à l'histoire de l'algèbre |
| title_auth | An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance |
| title_exact_search | An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance |
| title_full | An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance Jacques Sesiano ; transl. by Anna Pierrehumbert |
| title_fullStr | An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance Jacques Sesiano ; transl. by Anna Pierrehumbert |
| title_full_unstemmed | An introduction to the history of algebra solving equations from Mesopotamian times to the Renaissance Jacques Sesiano ; transl. by Anna Pierrehumbert |
| title_short | An introduction to the history of algebra |
| title_sort | an introduction to the history of algebra solving equations from mesopotamian times to the renaissance |
| title_sub | solving equations from Mesopotamian times to the Renaissance |
| topic | Geschichte Algebra History Algebra (DE-588)4001156-2 gnd |
| topic_facet | Geschichte Algebra History Algebra |
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