By Niccolò Guicciardini
Publisher: Cambridge University Press
Print Publication Year: 1989
Online Publication Date:September 2009
Online ISBN:9780511524745
Hardback ISBN:9780521364669
Paperback ISBN:9780521524841
Chapter DOI: http://dx.doi.org/10.1017/CBO9780511524745.010
Subjects: History, Philosophy and Foundations of Physics, History of Science: General Interest
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the military schools played an interesting role in the reform of the British calculus. At Woolwich we find a group of engineers including Hutton, Barlow, Gregory and Bonnycastle. They had at their disposal the dockyard, the arsenal and nautical instruments, and so were in a position to investigate the strength of materials, magnetism and ballistics. Their knowledge of similar work in France was extensive, while their own contributions to engineering were known on the continent. They did not excel as mathematicians, and, with the exception of Bonnycastle, they did not break with the fluxional tradition. As teachers they could not introduce any sophisticated innovations into the curriculum for the ‘raw and inexperienced’ cadets. However, with their textbooks and essays they greatly contributed to improving the knowledge of continental science in Britain. At Sandhurst more basic research on integration was carried out by the two Scots, Ivory and Wallace, assisted by Leybourn and several other colleagues. They contributed to a Mathematical Repository, where differential notation, partial derivatives and difference equations appeared as early as 1806. Their work marked a significant step towards the continental calculus. Certainly it was not possible for them to introduce their students to more than algebra and trigonometry. The masters at the military schools also participated actively in the astonishing number of scientific journals and encyclopaedias published during the first decades of the nineteenth century. Their contribution to the development of British science has been unjustly neglected.
pp. i-ii
pp. iii-vi
pp. vii-xii
OVERTURE: NEWTON'S PUBLISHED WORK ON THE CALCULUS OF FLUXIONS : Read PDF
pp. 1-8
PART I - THE EARLY PERIOD : Read PDF
pp. 9-10
1 - THE DIFFUSION OF THE CALCULUS (1700–30) : Read PDF
pp. 11-27
2 - DEVELOPMENTS IN THE CALCULUS OF FLUXIONS (1714–33) : Read PDF
pp. 28-37
3 - THE CONTROVERSY ON THE FOUNDATIONS OF THE CALCULUS (1734–42) : Read PDF
pp. 38-52
PART II - THE MIDDLE PERIOD : Read PDF
pp. 53-54
4 - THE TEXTBOOKS ON FLUXIONS (1736–58) : Read PDF
pp. 55-67
5 - SOME APPLICATIONS OF THE CALCULUS (1740–3) : Read PDF
pp. 68-81
6 - THE ANALYTIC ART (1755–85) : Read PDF
pp. 82-92
PART III - THE REFORM : Read PDF
pp. 93-94
7 - SCOTLAND (1785–1809) : Read PDF
pp. 95-107
8 - THE MILITARY SCHOOLS (1773–1819) : Read PDF
pp. 108-123
9 - CAMBRIDGE AND DUBLIN (1790–1820) : Read PDF
pp. 124-138
pp. 139-142
APPENDIX A - TABLES OF CONTENTS OF FLUXIONARY TEXTBOOKS : Read PDF
pp. 143-147
APPENDIX B - PRICE LIST OF MATHEMATICAL BOOKS PRINTED FOR JOHN NOURSE : Read PDF
pp. 148-149
APPENDIX C - CHAIRS IN THE UNIVERSITIES : Read PDF
pp. 150-155
APPENDIX D - MILITARY ACADEMIES : Read PDF
pp. 156-158
APPENDIX E - SUBJECT INDEX OF PRIMARY LITERATURE : Read PDF
pp. 159-164
APPENDIX F - MANUSCRIPT SOURCES : Read PDF
pp. 165-166
pp. 167-182
pp. 183-221
pp. 222-228