Johann Bernoulli's first lecture from the first integral calculus textbook ever written: an annotated translation

References

• Bernoulli J. Lectiones de methodo integralium, aliisque conscriptae in usum Ill. Marchionis Hospitalii cum auctor Parisiis ageret annis 1691 et 1692. Lausannae et Genevae: Bousquet; 1742.
   Google Scholar
• Agnesi M. Instituzioni analitiche. Milano: Regia-ducal Corte; 1748.
   Google Scholar
• Kowalewski G. Die erste Integralrechnung. Berlin: Wilhelm Engelmann-Verlag; 1914.
   Google Scholar
• Struik JD. A source book in mathematics: 1200–1800. Princeton: Princeton University Press; 1986.
   Google Scholar
• De L'Hospital G. Analyse des infiniment petits pour l'intelligence des lignes courbes. Paris: Imprimerie Royale; 1696.
   Google Scholar
• Manfredi G. De constructione aequationum differentialium primi gradus. Bononiae: Pisani; 1707.
   Google Scholar
• de-Grave PR, Villaggio P. Die Werke von Johann I und Nicolaus II Bernoulli, Band 6: Mechanik I. Basel: Birkhäuser; 2008.
   Google Scholar
• Brian NR. The first attempt at a table of integrals. Am Math Mon. 1922;29:392–394. doi: 10.1080/00029890.1922.11986181
   Google Scholar
• Ferguson W. Lectures on the integral calculus. 21st Century. 2004;17:34–43.
   Google Scholar
• Laeven H. The Acta Eruditorum under the editorship of Otto Mencke. The history of an international learned journal between 1682 and 1707. APA-Holland University Press; 1990.
   Google Scholar
• Newton I. De analysi per aequationes numero terminorum infinitas. Londini: Typis Pearsonianis; 1712.
   Google Scholar
• Newton I. The method of fluxions and infinite series. Londini: Henry Woodfall; 1736.
   Google Scholar
• Leibniz GW. De geometria recondita et analysi indivisibilium atque infinitorum. Acta Eruditorum. 1686;5:292–298.
   Google Scholar
• Taylor B. Methodus incrementorum directa et inversa. Londini: Impensis Gulielmi Innys; 1717.
   Google Scholar
• Bernoulli J. Additamentum effectionis omnium quadraturarum et rectificationum curvarum per seriem quandam generalissimam. Acta Eruditorum. 1694;13:437–442.
   Google Scholar
• d'Alembert JB. Rechèrches sur differens points importans du systéme du monde. Paris: David; 1754.
   Google Scholar
• Lacroix SF. Traitè du Calcul diffèrentiel et du Calcul intègral, seconde èdition. Paris: Courcier; 1810.
   Google Scholar
• Descartes R. La Gèomètrie. Amstelodami: Maire; 1637.
   Google Scholar
• Newton I. Tractatus de quadratura curvarum, in: Opticks. London: Smith and Walton; 1704.
   Google Scholar
• Bernoulli J. De integrationibus equationum differentialium. Comment Acad Petrop. 1726;–:167–184.
   Google Scholar
• Tschirnhaus EW. Medicina mentis sive artis inveniendi praecepta generalia, editio nova. Lipsiae: J. Thomam Fritsch; 1695.
   Google Scholar
• Wallis J. Arithmetica infinitorum. Oxonii: Tho. Robinson; 1656.
   Google Scholar
• Legendre A. Exercices de calcul intègral. Paris: Courcier; 1811.
   Google Scholar
• Bachet de Mèziriac CG. Diophanti Alexandrini Arithmeticorum libri sex, et de numeris multangulis liber unus, nunc primum Graece et Latine editi, atque absolutissimis commentariis illustrati. Lutetiae Parisiorum: Sumptis S. Cramoisy; 1621.
   Google Scholar
• Leibniz GW. Continuatio analyseos quadraturarum rationalium. Acta Eruditorum. 1703;22:19–25.
   Google Scholar
• Bernoulli J. Solution d'un problème concernant le calcul intègral avec quelques abregès par raport à ce calcul. Memoires de l'Acad Royale des Sci de Paris. 1702;385–393.
   Google Scholar
• Euler L. Introductio in analysin infinitorum. Lausannae: Bousquet; 1748.
   Google Scholar
• Euler L. Institutionum calculi integralis. Petropoli: Impensis Academiae Imperialis Scientiarum; 1768.
   Google Scholar
• Spiess O. Die Werke von Johann I und Nicolaus II Bernoulli, Band 1: Der Briefwechsel mit Jacob Bernoulli. Basel: dem Marquis de L'Hospital u.a. Birkhäuser; 1955.
   Google Scholar
• Bradley RE, Petrilli SJ, Sandifer EC. L'Hospital's analyse des infinement petits. Basel: Birkhäuser; 2015.
   Google Scholar
• Bernoulli J. Perfectio regulae suae editae in libro gall. “Analyse des infinement petits” pro determinando valore fractionis cujus numerator et denominator certo casu evanescunt. Acta Eruditorum. 1704;23:175–180.
   Google Scholar