P.S. Laplace's work on probability

Anon., Géometrie. Hist. Acad. roy. sci. année 1733 avec Mém. math. et phys. pour la même année. Paris, 1735, pp. 43–45 of the Histoire.

Anon., Sur les probabilités. Ibidem, 1778 (1781), p. 43 of the Histoire.

Bayes, T., An essay towards solving a problem in the doctrine of chances. Philos. trans. Roy. soc. Lond. 1763 (1764), vol. 53, pp. 360–418 (pt. 1). Reprint: Studies in the history of statistics and probability. Eds, E. S. Pearson & M. G. Kendall. London, 1970, pp. 134–153.

Bernoulli, D., Hydrodynamica (1738). Russ. transl.: Leningrad, 1959.

Bernstein, S. N., Theory of probability. Moscow-Leningrad, 1946. (In Russian, 4th edition.)

Bertrand, J., Calcul des probabilités. Paris, 1888.

Biermann, K.-R., Problems of the Genoese lottery in the works of classics in probability. Hist.-math. essays 1957, vol. 10, pp. 649–670 (In Russian).

Boole, G., On the theory of probabilities, etc. (1951). Studies in logic and probability. vol. 1. London, 1952, 247–259.

Boole, G., On the conditions by which the solution of questions in the theory of probabilities are limited (1854). Ibidem, 280–288.

Braschman, N. D., On the influence of mathematical sciences on the development of intellectual faculties. Moscow, 1841. (In Russian.)

Buffon, G. L. L., Essai d'arithmétique morale. In Buffon's Histoire naturelle, Supplement, t. 4. Paris, 1777, pp. 46–148.

Buslenko, N. P. et al., Method of statistical testing. Amsterdam, 1964. (Originally in Russian, 1962.) See §§ 1–2 of Chap. 1 written by Ju. A. Schreider.

Cauchy, A. L., Sur la plus grande erreur à craindre etc. (1853). Oeuvr. compl. ser. 1, t. 12, Paris, 1900, pp. 114–124.

Cauchy, A. L., Mémoire sur les résultats moyens etc. (1853).. pp. 125–130.

Chebyshev, P. L., Essay on the elementary analysis of the theory of probability (1845). Compl. works, vol. 5. Moscow-Leningrad, 1951, pp. 26–87. (In Russian.)

Cournot, A. A., Exposition de la théorie des chances et des probabilités. Paris, 1843.

David, F. N., Games, gods and gambling. London, 1962.

Davidov, A. Ju., Application of the theory of probability to statistics. In: Scient. and liter. papers... publ. on the occasion of the... centenary jubilee [of the Moscow univ.] (separate pagination). Moscow, 1855. (In Russian.)

De Moivre, A., Doctrine of chances. London, 1718, 1738, 1756. Reprints of two last editions: London, 1967 and New York, 1967, respectively.

De Moivre, A., Treatise on annuities of lives (1725). Appended to [17], 1756, pp. 261–328.

Dorfman, Ja. G., World history of physics from the most ancient times until the end of the 18 th century. Moscow, 1974. (In Russian.)

Euler, L., Solutio quarundam quaestionum difficiliorum in calculo probabilium (1785). (Eneström 600). Opera omnia, ser. 1, t. 7. Leipzig-Berlin, 1923, pp. 408–424.

Feller, W., Introduction to probability theory and its applications, vol. 1. New York-London, 1957 (2nd edition).

Fourier, J. B. J., Mémoire sur la théorie analytique des assurances. Annales de chim. et de phys. 1819, t. 10, pp. 177–189.

Fourier, J. B. J. (ed.), Recherches statistiques sur la ville de Paris etc. Paris, 1826 [t. 3] et 1829 [t. 4].

Freudenthal, H., The implicit philosophy of mathematics today. In: Contemporary philosophy. A survey. Ed., R. Klibansky. Firenze, 1968, pp. 342–368 (see p. 352).

Freudenthal, H., & H.-G. Steiner, Aus der Geschichte der Wahrscheinlichkeitstheorie und der mathematischen Statistik. In: Grundzüge der Mathematik, Bd. 4. Göttingen, 1966, pp. 149–195. Hrsg., H. Behnke et al.

Fuss, P.N., Compte rendu de l'Académie pour l'année 1835. In: Recueil des actes de la séance publique de l'Acad. imp. sci. St. Pétersbourg tenue le 29 Dec. 1835. St. Pétersbourg, 1836. (Separate pagination.)

Gillispie, C.C., Probability and politics: Laplace, Condorcet, and Turgot. Proc. Amer. philos. soc. 1972, vol. 116, No. 1, pp. 1–20.

Gnedenko, B.V., Theory of probability. Moscow, 1954. Engl. transl. from a later Russian edition (Moscow, 1969 and 1973) does not contain the Essay on history of probability (pp. 361–388) suppressed by the author.

Godytsky-Tsvirko, A.M., Scientific concepts of R. Boscovich. Moscow, 1959 (In Russian.)

Gridgeman, N.T., Geometric probability and the number π. Scripta math. 1960, vol. 25, No. 3, pp. 183–195.

Hacking, I., The emergence of probability. Cambridge, 1975.

Hahn, R., Laplace's first formulation of scientific determinism in 1773. Actes X1e Congr. Intern. Hist. Sci. 1965, t. 2. Wroclaw, 1967, pp. 167–171.

Hahn, R., Determinism and probability in Laplace's philosophy. Proc. 13 th Intern. Congr. Hist. Sci. 1971, sect. 1. Moscow, 1974, pp. 170–175.

Halley, E., An estimate of the degree of mortality of mankind etc. (1694). Philos. Trans. Roy. Soc. Lond. 1665–1800 abridg., vol. 3, London, 1809, pp. 483–491 and 510–511.

Hostinský, B., Application du calcul des probabilités à la théorie du mouvement Brownien. Annales Inst. H. Poincaré, 1932, t. 3, pp. 1–72.

Lacroix, S.F., Traité du calcul différentiel et du calcul intégral, t. 1. Paris, 1810. (Seconde éd.)

Lagrange, J.L., Recherches sur les suites récurrentes etc. Lu 1776. Oeuvr., t. 4. Paris, 1869, pp. 151–251. (Publ. in 1777; see [85], §576.)

Laplace, P.S., Mémoire sur les suites récurro-récurrentes etc. (1774). Oeuvr. compl., t. 8. Paris, 1891, pp. 5–24.

Laplace, P.S., Recherches sur l'intégration des équations différentielles aux différences finies etc., 1773 (1776)., t. 8. Paris, 1891, pp. 69–197.

Laplace, P.S., Mémoire sur la probabilité des causes par les événements (1774),, t. 8. Paris, 1891, pp. 27–65.

Laplace, P.S., Mémoire sur les probabilités, 1778 (1781)., t. 9. Paris, 1893, pp. 383–485.

Laplace, P.S., Mémoire sur la détermination des orbites des comètes, 1780 (1784)., t. 10. Paris, 1894, pp. 93–146.

Laplace, P.S., Sur les approximations des formules qui sont fonctions de très-grands nombres, 1782 (1785)., t. 8. Paris, 1891, pp. 209–291.

Laplace, P.S., Suite (of [43]), 1783 (1786)., t. 8. Paris, 1891, 295–338.

Laplace, P.S., Sur les naissances, les mariages et les morts etc., 1783 (1786)., t. 11. Paris, 1895, pp. 35–46.

Laplace, P.S., Mémoire sur les intégrales définies etc. 1810 (1811)., t. 12. Paris, 1898, pp. 357–412.

Laplace, P.S., Leçons de mathématiques données à l'École normale, en 1795 (1812)., t. 14. Paris, 1912, pp. 10–177.

Laplace, P.S., Théorie analytique des probabilités (1812, 1814, 1820). Ibidem, t. 7, No. 1–2. Paris, 1886.

Laplace, P.S., Essai philosophique sur les probabilités. (1814). Ibidem, No. 1 (separate pagination).

Laplace, P.S., Exposition du système du monde (1796). Ibidem, t. 6. Paris, 1884. Reprint of the 1824 ed.

Markov, A.A., On one problem of Laplace (1915). Sel. works. Leningrad, 1951, pp. 551–571. (In Russian.)

Molina, E.C., Application to the binomial summation of a Laplacian method for the evaluation of definite integrals. Atti Congr. Intern. Matem. 1928, t. 6. Bologna [1932], pp. 205–214. Also, in Bell Syst. Techn. J. 1929, vol. 8, No. 1, pp. 99–108.

Molina, E.C., The theory of probability: some comments on Laplace's Théorie analytique. Bull. Amer. Math. Soc. 1930, vol. 36, No. 6, pp. 369–392.

Molina, E.C., A Laplacian expansion for Hermitian-Laplace functions of high order. Bell Syst. Techn. J. 1936, vol. 15, No. 3, pp. 355–362.

Ondar, H.O., On one work of V.A. Steklov pertaining to the theory of probability. Hist. and Methodology of Nat. Sci. 1970, vol. 9, pp. 262–266. (In Russian.)

Öttinger, L., Die Wahrscheinlichkeitsrechnung. Berlin, 1852.

Pearson, K., Historical note on the origin of the normal curve of errors. Biometrika 1924, vol. 16, pp. 402–404.

Pearson, K., On a method of ascertaining limits to the actual number of marked members... from a sample. 1928, vol. 20A, pt. 1–2, pp. 149–174.

Pearson, K., Tables of the incomplete Beta-function. Cambridge, 1934. (2nd ed.: Cambridge, 1968).

Petrova, S.S., Early history of Laplace transforms. Hist.-math. essays, 1975, vol. 20, pp. 246–256. (In Russian.)

Poisson, S.D., Review of [48]. Nouv. Bull. Sci. Soc. Philom. 1812, t. 3, 5e ann., pp. 160–163.

Poisson, S.D., Sur la probabilité des résultats moyens des observations. Conn. des temps pour 1827 (1824), pp. 273–302 et pour 1832 (1829), pp. 3–22 of the Additions.

Poisson, S.D., Discours prononcé aux obsèques de... Laplace. Ibidem, pour 1830 (1827). Additions, pp. 19–22.

Poisson, S.D., Discours prononcé aux funérailles de M. Legendre. J. für die reine und angew. Math. 1833, Bd. 10, pp. 360–363.

Poisson, S.D., Recherches sur la probabilité des jugemens. Paris, 1837.

Polya, G., Mathematics and plausible reasoning. Princeton, 1954.

Rao, C.R., Linear statistical inference and its applications. New York, 1965.

Rényi, A., Briefe über Wahrscheinlichkeit. Berlin, 1969.

Rietz, H.L., On certain topics in the mathematical theory of statistics. Bull. Amer. math. soc. 1924, vol. 30, No. 8, pp. 417–453.

Sarmanov, O.V., Comments on [51]. Markov's Sel. works, pp. 672–673. (In Russian.)

Sheynin, O.B., On the early history of the law of large numbers. Biometrika 1968, vol. 55, No. 3, pp. 459–467. Reprint: Studies in history, etc. (see [3]), pp. 231–239.

Sheynin, O.B., On the history of the De Moivre-Laplace limit theorems. Hist. and Methodology Nat. Sci. 1970, vol. 9, pp. 199–211. (In Russian.)

Sheynin, O.B., D. Bernoulli on the normal law. Biometrika, 1970, vol. 57, pt. 1, pp. 199–202.

Sheynin, O.B., On the history of some statistical laws of distribution., 1971, vol. 58, pt. 1, pp. 234–236.

Sheynin, O.B., Newton and the classical theory of probability. Arch. Hist. Ex. Sci. 1971, vol. 7, No. 3, pp. 217–243.

Sheynin, O.B., J.H. Lambert's work on probability. 1971, vol. 7, No. 3, pp. 244–256.

Sheynin, O.B., D. Bernoulli's work on probability. Rete. Strukturgeschichte der Naturwissenschaften 1972, Bd. 1, No. 3–4, pp. 273–300.

Sheynin, O.B., Finite random sums (historical essay). Arch. Hist. Ex. Sci. 1973, vol. 9, No. 4–5, pp. 275–305.

Sheynin, O.B., R.J. Boscovich's work on probability. 1973, vol. 9, No. 4–5, pp. 306–324.

Sheynin, O.B., On the prehistory of the theory of probability. 1974, vol. 12, No. 2, pp. 97–141.

Sheynin, O.B., On the appearance of the Dirac delta-function in the works of Laplace. Hist.-Math. Essays 1975, vol. 2, pp. 303–308. (In Russian.)

Soper, H.E., Numerical evaluation of the incomplete B function. Cambridge, 1921. (Tracts for computers No. 7.)

Steklov, V., On one problem of Laplace. Bull. Acad. sci. Petrograd 1915, vol. 9, No. 14, pp. 1515–1537. (In Russian.)

Stiegler, K., On the origin of the so-called Laplacean determinism. Proc. 13 th Intern. Congr. Hist. Sci. 1971, sect. 6. Moscow, 1974, pp. 307–312.

Todhunter, I., History of the mathematical theory of probability. (1865). New York, 1965.

Vashchenko-Zakharchenko, M., Short review of the theory of probability. [Kiev] Univ. proc. 1864, No. 2, pp. 59–77 of sect. 2. (In Russian.)

Westergaard, H., Contributions to the history of statistics. London, 1932.

Descartes, R., Les principes de la philosophie (1644). Oeuvr., t. 9, No. 2 (whole issue). Paris, 1971.

Hendriks, F., Contributions to the history of insurance, etc. Assurance mag., vol. 3, 1853, 93–120.

Huygens, C., Oeuvres complètes, tt. 1–22. La Haye, 1888–1950.