John Playfair on British decline in mathematics

Bibliography

• Ackerberg-Hastings , A . 2002 . ‘Analysis and synthesis in John Playfair's Elements of geometry,’ . British Journal for the History of Science , 35 : 43 – 72 .
   Web of Science ®Google Scholar
• Ackerberg-Hastings , A . 2006 . “ ‘Mathematics in the wider culture: John Playfair, the French Revolution, and the Napoleonic Wars’ ” . In Proceedings of the Canadian society for history and philosophy of mathematics Edited by: Cupillari , A . Vol. 19 , 9 – 18 .
   Google Scholar
• Ackerberg-Hastings , A . 2007 . “ ‘Euler and the enlightenment mathematicians: a Scottish perspective’ ” . In Proceedings of the Canadian society for history and philosophy of mathematics Edited by: Cupillari , A . Vol. 20 , 12 – 23 .
   Google Scholar
• [Ballantyne, J (comp)], Catalogue of the library of the late John Playfair, Esq, Edinburgh: James Ballantyne and Co, 1820
   Google Scholar
• Bowditch , N (trans) . Celestial mechanics , 1966 – 69 . by P S LaPlace, 5 vols, reprint: Chelsea
   Google Scholar
• Clive , J L . 1957 . Scotch reviewers: the Edinburgh Review, 1802–1815 , Harvard University Press .
   Google Scholar
• Costa , S . 2002 . ‘The Ladies’ Diary: gender, mathematics and civil society in early eighteenth-century England’ . Osiris , 17 : 49 – 73 .
   Web of Science ®Google Scholar
• Craik , A D D . 2000 . ‘Geometry versus analysis in early 19th-century Scotland: John Leslie, William Wallace, and Thomas Carlyle’ . Historia Mathematica , 27 : 133 – 163 .
   Web of Science ®Google Scholar
• [Davison, J, Drummond, H H, and Copleston, E], Review of A reply to calumnies of the Edinburgh Review against Oxford and Second reply to the Edinburgh Review, by E Copleston, Quarterly Review, 4 (1810), 177–206
   Google Scholar
• Enros , P C . 1983 . ‘The Analytical Society (1812–1813): precursor of the renewal of Cambridge mathematics,’ . Historia Mathematica , 10 : 24 – 47 .
   Web of Science ®Google Scholar
• Grabiner , J V . 2007 . ‘Why should historical truth matter to mathematicians? Dispelling myths while promoting maths’ . BSHM Bulletin , 22 : 78 – 91 .
   Google Scholar
• Grattan-Guinness , I . 2005 . “ Landmark writings in western mathematics, 1640–1940 ” . In ‘P S Laplace, Exposition du système du monde, first edition (1796); Traité de mécanique céleste (1799–1823/1827)’ , Edited by: Grattan-Guinness , I . 242 – 257 . Elsevier .
   Google Scholar
• Guicciardini , N . 1989 . The development of Newtonian calculus in Britain, 1700–1800 , Cambridge University Press .
   Google Scholar
• Houghton , W E (ed) . 1966–87 . The Wellesley index to Victorian periodicals: 1824–1900 , Vol. 4 , University of Toronto Press .
   Google Scholar
• Morrell , J B . 1975 . ‘The Leslie affair: careers, kirk, and politics in Edinburgh in 1805’ . Scottish Historical Review , 54 : 63 – 72 .
   Web of Science ®Google Scholar
• Knight , R P . 1809 . Review of the Oxford edition of Strabo . Edinburgh Review , 14 : 429 – 441 .
   Google Scholar
• Olson , R . 1971 . ‘Scottish philosophy and mathematics 1750–1830’ . Journal of the History of Ideas , 32 : 29 – 44 .
   Web of Science ®Google Scholar
• Parshall , K H and Rowe , D E . 1994 . The emergence of the American mathematical research community, 1876–1900: J J Sylvester, Felix Klein, and E H Moore , American Mathematical Society .
   Google Scholar
• Perl , T H . 1979 . ‘The Ladies’ diary or woman's almanac, 1704–1841‘ . Historia Mathematica , 6 : 36 – 53 .
   Google Scholar
• Playfair , J . 1778 . ‘On the arithmetic of impossible quantities’ . Philosophical Transactions of the Royal Society of London , 68 : 318 – 343 .
   Google Scholar
• Playfair , J . 1788 . ‘On the causes which affect the accuracy of barometrical measurements’ . Transactions of the Royal Society of Edinburgh , 1 ( part II ) : 87 – 130 .
   Google Scholar
• Playfair , J . 1790 . ‘Remarks on the astronomy of the Brahmins’ . Transactions of the Royal Society of Edinburgh , 2 ( part II ) : 135 – 192 .
   Google Scholar
• Playfair , J . 1795 . Elements of geometry; containing the first six books of Euclid, with two books on the geometry of solids. To which are added, Elements of plane and spherical trigonometry , second edition , 1804 Edinburgh : Edinburgh .
   Google Scholar
• [Playfair, J], Review of Analytical Institutions, by M Agnesi, J Colson (trans), Edinburgh Review, 3 (1804a), 401–410
   Google Scholar
• [Playfair, J], Review of Euclidis Elementorum Libri Priores XII and Euclidis Datorum Liber, S Horsley (ed), Edinburgh Review, 4 (1804b), 257–272
   Google Scholar
• Playfair , J . 1805 . Investigation of certain theorems relating to the figure of the earth . Transactions of the Royal Society of Edinburgh , 5 ( part I ) : 3 – 30 .
   Google Scholar
• [Playfair, J], Review of Geometrie du compas, by L Mascheroni, A M Charette (trans), Edinburgh Review, 9 (1806), 161–168
   Google Scholar
• [Playfair, J], Review of Base du systéme mètrique décimal, by P Mechain and J Delambre, Edinburgh Review, 9 (1807a), 373–391
   Google Scholar
• [Playfair, J], Review of ‘On the Hindoo systems of astronomy, and their connexion with history in ancient and modern times’, by J Bentley, Edinburgh Review, 10 (1807b), 455–471
   Google Scholar
• [Playfair, J], Review of Traité de méchanique céleste, by P S Laplace, Edinburgh Review, 11 (1808), 249–284
   Google Scholar
• [Playfair, J], Review of Discours sur les progrès des sciences, lettres et arts, depuis 1789 jusqua ce jour (1808); ou, Compte rendu par l'Institut de France, Edinburgh Review, 15 (1809), 1–22
   Google Scholar
• [Playfair, J], Review of The System of the World, by P S Laplace, J Pond (trans), Edinburgh Review, 15 (1810), 396–417
   Google Scholar
• Playfair , J . 1811 . ‘Account of a lithological survey of Schehallien, made in order to determine the specific gravity of the rocks which compose that mountain’ . Philosophical Transactions of the Royal Society , 101 : 347 – 377 .
   Google Scholar
• [Playfair, J], Review of Elements of geometry, geometrical analysis, and plane trigonometry, by J Leslie, Edinburgh Review, 20 (1812), 79–100
   Google Scholar
• [Playfair, J], Review of Bija Gannita, or the algebra of the Hindus, by E Strachey, Edinburgh Review, 21 (1813), 364–377
   Google Scholar
• Playfair , J . 1814 . Outlines of natural philosophy , Vol. 2 , Edinburgh .
   Google Scholar
• Playfair , J . 1816 . “ ‘Dissertation second: on the progress of mathematical and physical science since the revival of letters in Europe’ ” . In Supplement to the Encyclopaedia Britannica , Vol. 2 and 4 , Edinburgh .
   Google Scholar
• [Playfair, J], Review of Algebra, with arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bhascara, H T Colebrooke (trans), Edinburgh Review, 29 (1817), 141–164
   Google Scholar
• [Playfair, J, Knight, R P, and Smith, S], Review of A Reply to the calumnies of the Edinburgh Review against Oxford, by [E Copleston], Edinburgh Review, 16 (1810), 396–417
   Google Scholar
• Playfair , James . 1822 . The works of John Playfair , Vol. 4 , Edinburgh : Constable .
   Google Scholar
• Pycior , Helena . 1997 . Symbols, impossible numbers, and geometric entanglements , Cambridge University Press .
   Google Scholar
• Sanders , C R . 1970 . The collected letters of Thomas and Jane Welsh Carlyle , Vol. 1–7 , Duke University Press .
   Google Scholar
• [Smith, S], Review of Professional Education, by R and M Edgeworth, Edinburgh Review, 15 (1809), 40–53
   Google Scholar
• Todhunter , I . 1861 . A history of the calculus of variations during the nineteenth century . reprint; Chelsea, n. d
   Google Scholar
• Toplis , J . 1805 . ‘On the decline of mathematical studies, and the sciences dependent on them’ . Philosophical Magazine , 20 : 25 – 31 .
   Google Scholar
• Woodhouse , R . 1802 . ‘On the independence of the analytical and geometrical methods of investigation; and on the advantages to be derived from their separation’ . Philosophical Transactions of the Royal Society , 92 : 85 – 125 .
   Google Scholar