1740 · London:
Stephen Stigler describes how this book and the author's 1742 title, The Doctrine of Annuities and Reversions, irritated De Moivre. Both titles were based on the work of De Moivre, whom Stigler indicates was intellectually the superior to Simpson. – (Stigler, p. 88). De Moivre's second edition of his Annuities book is scathing of Simpson's work, saying he "mutilates my Propositions." The two exchanged barbs and accusations as evidenced in their own writings. Stigler observes that Simpson as a mathematician-writer tends to the reactionary and chooses to point out the distribution of errors and not on the mean observation. "Even though the position of the body observed might be considered unknown, the distribution of errors was, for Simpson, known." (p. 91).
[ALSO BOUND WITH:] SIMPSON. A New Treatise of Fluxions: wherein the direct and inverse method are demonstrated . . . also the doctrine of infinite series . . . are amply explained, . . . together with a variety of new and curious problems. London : Printed by Tho. Gardner… ; For, and are to be had of, the author …, 1737. First edition. [WITH:] STUART, Alexander (1673-1742). Three Lectures on Muscular Motion Read before the Royal Society in the Year MDCCXXXVIII … William Croone … Being a supplement to the Philosophical Transactions … London: Printed for T. Woodward; and C. Davis … 1739. See: Russell, K.F. British anatomy (2nd ed.), 782. First edition. [WITH:] LANGRISH, Browne (d.1759). A New Essay on Muscular Motion. Founded on Experiments, Observations, and the Newtonian Philosophy. London: Printed for A. Bettesworth and C. Hitch, 1733. First edition.
PROVENANCE: Rev. Thomas Salwey (ca.1705- after or on 1759), of Ludlow, L.L.D. * Salwey was Rector of Richard's Castle. He married Constance (only daughter of Francis Biddulph) in 1742. PROVENANCE: James Whitbread Lee Glaisher, Sc.D. (1848-1928), Fellow of Trinity College, was a prolific English mathematician and astronomer. PROVENANCE: Francis Galton Laboratory. Karl Pearson In the twentieth century Francis Galton and Karl Pearson led the way in developing statistics into a mathematical discipline. PROVENANCE: F.N.D. Florence Nightingale David (1909-1993), also known as F. N. David was an English statistician, born in Ivington, Herefordshire, England.
See: Blanco, Mónica. "Thomas Simpson: Weaving fluxions in 18th-century London." Historia Mathematica, vol. 41 (1) (2014), pp. 38—81. "The main part of this historical paper deals with a comparison of Thomas Simpson's 1737 and 1750 treatises on fluxions, and with their place in the exposition and development of Newtonian calculus in the 18th century. The author highlights some of the differences in emphasis and content between the two works, explaining several of those differences in helpful detail." – Douglas Bridges, Christchurch, New Zealand. REFERENCES: ESTC [Simpson, Laws of Chance] T78204; [Simpson, Fluxions] N7839; [Stuart, Three lectures] N14306; [Langrish] T65047. See: Theodore M. Porter, Karl Pearson: The Scientific Life in a Statistical Age, (2010), page 290-1: "Simpson … was a scoundrel, supporting himself by converting De Moivre's great discoveries into textbook routines." Lowndes p. 1685. FULL TITLE [I]: The Nature and Laws of Chance. Containing, among other Particulars, The Solutions of several abstruse and important Problems. . . the whole after a new, general, and conspicuous manner, and illustrated with a great variety of examples. [SAMMELBAND WITH FOUR WORKS]. [PLEASE CONTACT DIRECT FOR FURTHER INFORMATION]. (Inventory #: S13085)