Leibnitz, Nova methodus pro maxinzis et minimisitentque tangentibus, Leipsic Aets, Oct. 1684.
The History of the Discovery of Fluxions is contained in the C'ommercium Epistolicunz de varia re Mathematica inter eeleberrinzos prxsentis seculi Mathenzaticos,&c. Jussu Socie tatis Regiec in lueenz editum, 1712, and the third volume of Opera Leibnitii, 1768, also a collection of pieces of M. Des maiseaux, the works of Wallis, and Ralphson's History of Fluxions.
James Bernoulli, Analysis niagni Problentatis Isofzerime trici, 1701.
John Bernoulli, Opera Omnia, 1742.
Leibnitz and Bernoulli, C'ommercium Phil. et Math. two vols. 4to. 1745.
De L'Hopital, Analyse des Infiniment petits, 1696. Cane, Methode pour la Mesure des Surfaces, Ste. 1700. Cheyne, Fluxionum nzethodus brversa, Harris, Algebra, 1702 ; and Lexie= Technicum, 1704, Hayes, A Treatise on Fluxions, 1704.
Ditton, Institution of Fluxions.
Manfredi, De constructione equation= defferentialium primi grades, 1704.
Jones, Synopsis Palmariorum Matheseas, 1706.
Craig, fihthodus Figurantm Curvilinearum quad raturas deternzinandi, 1685.
Craig, De Calculo Fluezztiuzn, 1718.
Taylor, Methodris Incrementorum 1715.
Reyneau, Analyse Denzontre.
lleyneazz, Science de Calcul, 1714.
Cotes, Harmonia Alensurarum, 1722.
Cotes, tEstimatio errorum in mixta mathesi.
Clarke, An Institution of Fluxions, 1726.
De Moivre, Miscellanea Analytica, 1730.
Stone, The Method of Fluxion.. 1732 Hodgson, The Doctrine cif Fluxions. 1736.
Deidier, Le Calcul dfferentiel et le Calcul Integral, 1740 Simpson, A Treatise on Fluxions, 17:37 ; also 1750. Maclaurin, A Treatise of Fluxions 1742, 2 vols. 4to. Emerson, The Doctrine of Flzexions, 1743.
Agnesi, Instituzioni Analytiche,&c. 1748, 2 vols. 4to. There is a French Translation by Cousin, 1775, also an English Translation by Colson.
Cramer, Introduction a l'.4nalyse des lignee Courbes, 1750.
Stirling, M'ethodus Deff'crentialis, 1753.
Eulei, Mezhodus inveniendi lineal curvas maximi alive proprietate gaudentes, 1744.
Euler, Introductio in Analysis Ir 1748.
Euler, Institutiones Calculi Diff'erentialis, 1755.
Euler, Institutiones Calculi Integralis. 3 tom. 1768 1770, also in 4 volumes, 1792, 1793, 1794 Euler's Acade mical Memoirs relating to the calculus, arc too numerous to admit of being specified here. A list of his writings, published and unpublished, is given in the edition of the Institutiones Calculi Differentialis, printed at Pavia 1787. It occupies 30 quarto pages. See EULER.
Niascheroni. Annotationes ad calculunz integralem 1790. Pars altera. 1792 Walmesly, Analyse des nzesures des rapports et des an gles, 1750.
Bougainville, Traite du Calcul Integral, 1754.
Robin's filathenzatical Tracts, 1761.
Landen, The Residual Analysis, 1764.
Landen, Mathematical Lucubrations, 1755.
Landen, Illathenzatical Memoirs, 1780.
Saunderson, The Method of Fluxions, 1756.
Lyons' Fluxions. 1758.
D'Alembert, Opuscules Illathematiques, 1761. Condorcet, Du Calcul Integral. 1765.
Le Seur et Jacquier, Elemens du Calcul Integral, 1768. Fontaine, Traite de Calcul Din'. et Integral, 1770. Waring, Miscellanea Analytica, 1762, Waring, Meditationes AnalY ticee. 1776.
Cousin, Le cons de Calcul dfferentiel et de Caleul Integra 1777. 2 vials 8vo. also since, in two vols 4to Kramp's Analyse des Refractions Astronomiques. L'Huillier. Exposition Elenzentaire des Principes des Cal culs Superieurs, 1786.
Princilziorum Calculi differentialzs et integralis Expositio elenzentans. 1795.
Tahiescen, Princi/zia atque Historia inventianis calculi Differentialis et Integralis, nee non nzethodi Fluxionum, 1793.
Lacroix, Traite du Calcul Dificrentiel et du Calcul Inte gral, 3 Vols. 4to, 1797 ; also Traite Elementaire de Calcul dzfferentiel et de Calcul Integral, 1 vol. 8vo. 1802.
Vince, The Principles of noxious, 1793.
Lagrange Calcul des Variations, in the Miscell. 7'auri nensia, tom. ii. at iv.
Lagrange, Theorie des Fonctions Analytiques, 1797. Lagrange, Lf fons sur le Calcul des Fonctions.
Bussut, Traite de Calcul Differentiel, et de Calcul Inte gral, 1798.
Carnot, Rejlexiona sur In .11ietaphysique du Calcul 1797.
Woodhouse, The Principles of Analytical Calculation, 1803 Woodhouse, A Treatise on Isoperinzetrical Problems, and the Calculus of Variations, 1810.
Spehcc., An Essay on the 77zeory of the various Orders of Logarithmic Transcendentals, 1809.
Ampere, Recherches sur quelques, Points de In Theorie des fonctions derivees. Journal de l'Ecole Polytechnique 13. Cahier, 1806.
Dcaitry, A Treatise on Fluxions 1810.
Du Bourguet Traite Elementaire de Calcul Difirerentiel, &c. 1811.
Gamier, Lecons de Calcul Differentiel. &c. 1811. Legendre, Exercices de Calcul Integral, 1811.
The memoirs relating to the calcuit,, wnich have been published in the transactions of learned societies, are too numerous to admit of a particular description here. For these, the Bibliotheca Alathematica of Al. Murhardt may be consulted: Also, the 7th volume of Repertorium Commentationum, a societatibus Lit terariis editarum, publish ed by M. Reuss. This volume, which is sold separate, con tains the titles of all the mathematical memoirs inserted in the academical collections, and classed according to the different subjects.
The most beautiful applications which have been made of the calculus are to be found in the Principia of Newton, the Mechanica of Euler, the 11lecanique Analytique of La Grange, and the Mecanique Celeste of La Place.
FLY-\VmEELs. Sec MECHANICS.