The origins of the infinitesimal calculus:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Pergamon Press
1969
|
| Ausgabe: | 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 304 S. graph. Darst. |
| ISBN: | 0080125131 |
Internformat
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| 100 | 1 | |a Baron, Margaret E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The origins of the infinitesimal calculus |c by Margaret E. Baron |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford [u.a.] |b Pergamon Press |c 1969 | |
| 300 | |a VIII, 304 S. |b graph. Darst. | ||
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| 650 | 4 | |a Geschichte | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
PREFACE vii
INTRODUCTION 1
CHAPTER 1. Greek Mathematics 11
1.0 Introduction 11
1.1 The influence of Greek mathematics in the seventeenth century 14
1.2 A brief chronology of Greek mathematics 15
1.3 Early Greek mathematics and the physical world 18
1.4 The axiomatisation of Greek mathematics 25
1.5 The theory of proportion and means 27
1.6 The squaring of the circle 30
1.7 The method of exhaustion 34
1.8 The discovery method of Archimedes 46
1.9 Curves, normals, tangents and curvature 51
CHAPTER 2. The Transition to Western Europe 60
2.0 Introduction 60
2.1 On Hindu mathematics 61
2.2 The Arabs 66
2.3 The influence of Aristotle 69
2.4 The continuum, indivisibles and infinitesimals 71
2.5 The growth of kinematics in the West 75
2.6 The latitude of forms 81
2.7 The function concept in the fourteenth and fifteenth centuries 87
2.8 Conclusion 89
CHAPTER 3. Some Centre of Gravity Determinations in the
Later Sixteenth Century 90
3.0 Introduction 90
3.1 Francesco Maurolico (1494 1575) 91
V
vi Contents
3.2 Federigo Commandino (1509 1575) 94
3.3 Simon Stevin (1548 1620) 96
3.4 LucaValerio (1552 1618) 101
CHAPTER 4. Infinitesimals and Indivisibles in the Early
Seventeenth Century 108
4.1 Johann Kepler (1571 1630) 108
4.2 Indivisibles in Italy 116
4.3 Bonaventura Cavalieri (1598 1647) 122
4.4 Gregoirede Saint Vincent (1584 1667) 135
CHAPTER 5. Further Advances in France and Italy 149
5.0 Introduction 149
5.1 The arith metisation of integration methods 151
5.2 First investigations of the cycloid 156
5.3 Another integration method 162
5.4 The concept of tangent 163
5.5 The composition of motions 174
5.6 The link between differential and integral processes 177
5.7 Evangelista Torricelli: tangent and quadrature 182
CHAPTER 6. Consolidation of Gains: France, England and
the Low Countries 195
6.0 Introduction 195
6.1 Blaise Pascal (1623 1662) ¦ 196
6.2 Infinitesimal methods in England 205
6.3 Infinitesimal methods in the Low Countries 214
6.4 The rectification of arcs 223
6.5 James Gregory (1638 1675) 228
6.6 Isaac Barrow (1630 1677) 239
CHAPTER 7. Epilogue: Newton and Leibniz 253
7.0 Introduction 253
7.1 Isaac Newton (1642 1727) 255
7.2 Gottfried Wilhelm Leibniz (1646 1716) 268
BIBLIOGRAPHY 291
INDEX 299
|
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| id | DE-604.BV005690446 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:33:11Z |
| institution | BVB |
| isbn | 0080125131 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003554181 |
| oclc_num | 10415 |
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| physical | VIII, 304 S. graph. Darst. |
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| publishDate | 1969 |
| publishDateSearch | 1969 |
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| publisher | Pergamon Press |
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| spelling | Baron, Margaret E. Verfasser aut The origins of the infinitesimal calculus by Margaret E. Baron 1. ed. Oxford [u.a.] Pergamon Press 1969 VIII, 304 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Infinitesimaalrekening gtt Geschichte Calculus History Geschichte (DE-588)4020517-4 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 s Geschichte (DE-588)4020517-4 s DE-604 Mathematik (DE-588)4037944-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003554181&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baron, Margaret E. The origins of the infinitesimal calculus Infinitesimaalrekening gtt Geschichte Calculus History Geschichte (DE-588)4020517-4 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4020517-4 (DE-588)4072798-1 (DE-588)4037944-9 |
| title | The origins of the infinitesimal calculus |
| title_auth | The origins of the infinitesimal calculus |
| title_exact_search | The origins of the infinitesimal calculus |
| title_full | The origins of the infinitesimal calculus by Margaret E. Baron |
| title_fullStr | The origins of the infinitesimal calculus by Margaret E. Baron |
| title_full_unstemmed | The origins of the infinitesimal calculus by Margaret E. Baron |
| title_short | The origins of the infinitesimal calculus |
| title_sort | the origins of the infinitesimal calculus |
| topic | Infinitesimaalrekening gtt Geschichte Calculus History Geschichte (DE-588)4020517-4 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Infinitesimaalrekening Geschichte Calculus History Infinitesimalrechnung Mathematik |
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