The development of Newtonian calculus in Britain 1700 - 1800:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
Cambridge <<[u.a.]>>
Cambridge Univ. Pr.
1989
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 228 S. Ill. |
| ISBN: | 0521364663 |
Internformat
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| 245 | 1 | 0 | |a The development of Newtonian calculus in Britain 1700 - 1800 |c Niccolò Guicciardini |
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Datensatz im Suchindex
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| adam_text | CONTENTS
Introduction vii
overture: newton s published work on the calculus
oe fluxions i
PART I: THE EARLY PERIOD 9
1 THE DIFFUSION OF THE CALCULUS (17OO-3O) II
1.1 Early initiates 12
1.2 Textbook writers 13
1.3 The teaching of the calculus in the universities 18
2 DEVELOPMENTS IN THE CALCULUS OF FLUXIONS
(1714-33) 28
2.1 Methods of integration 29
2.2 The Methodus differentialis 31
2.3 Geometry 36
3 THE CONTROVERSY ON THE FOUNDATIONS OF THE
CALCULUS (1734-42) 38
3.1 Berkeley s criticisms of the calculus 38
3.2 The definitions of the basic terms of the calculus in the
works of the early fluxionists 41
3.3 The doctrine of prime and ultimate ratios 43
3.4 The foundations of the calculus in Maclaurin s Treatise of
Fluxions 47
iii
iy CONTENTS
PART II: THE MIDDLE PERIOD 53
4 THE TEXTBOOKS ON FLUXIONS (1736-58) 55
4.1 Teaching the algorithm of fluxions 55
4.2 Textbooks on fluxions and the science books trade 60
5 SOME APPLICATIONS OF THE CALCULUS (174O-3) 68
5.1 Maclaurin s study of the attraction of ellipsoids 69
5.2 Simpson s study of the attraction of ellipsoids 73
5.3 Remarks on the use of partial differentials in Clairaut s
The orie de la Figure de la Terre 79
6 THE ANALYTIC ART (1755-85) 82
6.1 Simpson s methodology 83
6.2 Landen s Residual Analysis 85
6.3 Waring s work on partial fluxional equations 89
PART III: THE REFORM 93
7 SCOTLAND (1785-1809) 95
7.1 The universities and the Royal Society of Edinburgh 95
7.2 John Playfair 99
7.3 Wallace and Ivory 103
7.4 Glenie and Spence 104
8 THE MILITARY SCHOOLS (1773-I819) IO8
8.1 The Royal Military Academy at Woolwich 109
8.2 Charles Hutton in
8.3 Olynthus Gregory and Peter Barlow 112
8.4 The Royal Military College at Sandhurst 114
8.5 The Ladies Diary and the Mathematical Repository 115
8.6 Ivory s break-through 117
8.7 Other journals and the encyclopaedias 118
8.8 The Royal Naval Academy at Portsmouth 121
9 CAMBRIDGE AND DUBLIN (179O-182O) 124
9.1 Fluxions in Cambridge 124
9.2 Robert Woodhouse 126
9.3 Ireland in the eighteenth century 131
9.4 The reform of mathematics at the University of Dublin 132
9.5 The Analytical Society 135
CONTENTS V
CONCLUSION 139
APPENDIX A TABLES OF CONTENTS OF FLUXIONARY
TEXTBOOKS I43
A. 1 Table of contents of William Emerson s The Doctrine of
Fluxions (1743), (2nd edn., 1757) 143
A. 2 Table of contents of Thomas Simpson s The Doctrine and
Application of Fluxions (1750c) 146
A. 3 Table of contents of John Rowe s An Introduction to the
Doctrine of Fluxions (17 51) 147
APPENDIX B PRICE LIST OF MATHEMATICAL BOOKS
PRINTED FOR JOHN NOURSE I48
APPENDIX C CHAIRS IN THE UNIVERSITIES 150
C.i The Gregory s family tree 150
C.2 University of Cambridge 150
C.3 University of Oxford 151
C.4 University of Edinburgh 152
C.5 University of Glasgow 152
C.6 University of St Andrews 153
C. 7 University of Aberdeen 153
C.8 University of Dublin 155
APPENDIX D MILITARY ACADEMIES I56
D.i Royal Military Academy at Woolwich (masters and
assistants of mathematics and fortification) 156
D.2 Royal Military College (Sandhurst) (masters and
professors of mathematics) 157
D.3 Royal Naval Academy at Portsmouth (head-masters) 158
APPENDIX E SUBJECT INDEX OF PRIMARY LITERATURE 159
APPENDIX F MANUSCRIPT SOURCES 165
Notes 167
Bibliography 183
Index 222
|
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| discipline | Mathematik |
| era | Geschichte 1700-1800 gnd |
| era_facet | Geschichte 1700-1800 |
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| id | DE-604.BV024368070 |
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| indexdate | 2024-07-09T21:58:09Z |
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| isbn | 0521364663 |
| language | Undetermined |
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| spelling | Guicciardini, Niccolò Verfasser aut The development of Newtonian calculus in Britain 1700 - 1800 Niccolò Guicciardini Cambridge <<[u.a.]>> Cambridge Univ. Pr. 1989 XII, 228 S. Ill. txt rdacontent n rdamedia nc rdacarrier Zugl.: Council for National Academic Awards, Diss., 1987 Geschichte 1700-1800 gnd rswk-swf Kalkül (DE-588)4163108-0 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Großbritannien (DE-588)4022153-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Großbritannien (DE-588)4022153-2 g Kalkül (DE-588)4163108-0 s Geschichte 1700-1800 z DE-604 Infinitesimalrechnung (DE-588)4072798-1 s 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=018348838&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guicciardini, Niccolò The development of Newtonian calculus in Britain 1700 - 1800 Kalkül (DE-588)4163108-0 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4163108-0 (DE-588)4072798-1 (DE-588)4037944-9 (DE-588)4022153-2 (DE-588)4113937-9 |
| title | The development of Newtonian calculus in Britain 1700 - 1800 |
| title_auth | The development of Newtonian calculus in Britain 1700 - 1800 |
| title_exact_search | The development of Newtonian calculus in Britain 1700 - 1800 |
| title_full | The development of Newtonian calculus in Britain 1700 - 1800 Niccolò Guicciardini |
| title_fullStr | The development of Newtonian calculus in Britain 1700 - 1800 Niccolò Guicciardini |
| title_full_unstemmed | The development of Newtonian calculus in Britain 1700 - 1800 Niccolò Guicciardini |
| title_short | The development of Newtonian calculus in Britain 1700 - 1800 |
| title_sort | the development of newtonian calculus in britain 1700 1800 |
| topic | Kalkül (DE-588)4163108-0 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Kalkül Infinitesimalrechnung Mathematik Großbritannien Hochschulschrift |
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