1. For details of the mathematical issues involved and the opinions of Euler and d’Alembert see, Ivor Grattan-Guinness, From the Calculus to Set Theory (London: Duckworth, 1980), chap. 1
2. Jerome R. Ravetz, “Vibrating Strings and Arbitrary Functions,” in The Logic of Personal Knowledge, (Glencoe II.: Free Press, 1961), 71–88
3. and Clifford Truesdell, “The Rational Mechanics of Flexible or Elastic Bodies, 1638–1788,” in Euler, Opera Omnia, series 2, vol. 11, part 2, (Bern: 1957), 240–262, although Truesdell is too partial to Euler. Henk Bos also noted this partiality
4. in H. J. M. Bos, “Mathematics and Rational Mechanics,” in Ferment of Knowledge: Studies in the Historiography of the Eighteenth Century, G. S. Rousseau and Roy Porter, eds. (Cambridge: Cambridge University press, 1980), 327–355. For d’Alembert
5. see Thomas Hankins, Jean d’Alembert: Science and the Enlightenment (Oxford: The Clarendon Press, 1970).