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Brook Taylor ( August 18, 1685 - December 29, 1731) was an English mathematician.His father was John Taylor of Bifrons House, Kent, his mother was Olivia Tempest, daughter of Sir Nicholas Tempest , Bart., of Durham. He was born at Edmonton in Middlesex. He entered St John's College, Cambridge, as a fellow-commoner in 1701, and took degrees of LL.B. and LL.D. respectively in 1709 and 1714. Having studied mathematicsMathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of "figures and numbers". In the formalist view, it is the investigation of axiomatically defined abstract structures under John MachinJohn Machin ( 1680— 1752), a professor of astronomy in London, is best known for developing a quickly converging series for π in 1706 and using it to compute π to 100 decimal places. Machin's formula is: : The benefit of the new formula, a variation and John Keill , he obtained in 1708Events March 23 James Francis Edward Stuart lands at the Firth of Forth Kandahar conquered by Mir Wais In Masuria one third of the population die during the plague September 28: Peter the Great defeats the Swedes at the Battle of Lesnaya J. Bach appointed a remarkable solution of the problem of the "centre of oscillation," which, however, remaining unpublished until May 1714 (Phil. Trans., vol. xxviii. p. x1), his claim to priority was unjustly disputed by Johann BernoulliJohann Bernoulli ( 27 July 1667 January 1 1748) was a Swiss mathematician. He was the brother of Jakob Bernoulli, and the father of Daniel Bernoulli and Nicolaus II Bernoulli. He is also know as Jean or John Bernoulli . With his brother Bernoulli pioneere. Taylor's Methodus Incrementorum Directa et Inversa (London, 1715Events September 1 King Louis XIV of France dies after a reign of 72 years, leaving the throne of his exhausted and indebted country to his great-grandson Louis XV. Regent for the new, five years old monarch is Philippe d'Orleans, nephew of Louis XIV.) added a new branch to the higher mathematics, now designated the " calculusFor other uses of the term calculus see calculus (disambiguation Calculus is a branch of mathematics, developed from algebra and geometry, involving two major complementary ideas: The first, called differential calculus is a theory about rates of change, of finite differenceThere are two subfields of mathematics that concern themselves with finite differences . One is a finite analogue to differential calculus. See also difference operator. The other is a branch of numerical analysis that aims at approximate solution of parts." Among other ingenious applications, he used it to determine the form of movement of a vibrating string, by him first successfully reduced to mechanical principles. The same work contained the celebrated formula known as Taylor's theoremIn calculus, Taylor's theorem named after the mathematician Brook Taylor, who stated it in 1712, allows the approximation of a differentiable function near a point by a polynomial whose coefficients depend only on the derivatives of the function at that p, the importance of which remained unrecognized until 1772, when J. L. Lagrange realized its powers and termed it "le principal fondement du calcul différentiel."
In his Essay on Linear Perspective (London, 1715) Taylor set forth the true principles of the art in an original and more general form than any of his predecessors; but the work suffered from the brevity and obscurity which affected most of his writings, and needed the elucidation bestowed on it in the treatises of Joshua Kirby ( 1754) and Daniel Fournier ( 1761).
Taylor was elected a fellow of the Royal Society early in 1712, and in the same year sat on the committee for adjudicating the claims of Sir Isaac Newton and Gottfried Leibniz, and acted as secretary to the society from January 13, 1714 to October 21, 1718. From 1715 his studies took a philosophical and religious bent. He corresponded, in that year, with the Comte de Montmort on the subject of Nicolas Malebranche's tenets; and unfinished treatises, On the Jewish Sacrifices and On the Lawfulness of Eating Blood, written on his return from Aix-la-Chapelle in 1719, were afterwards found among his papers. His marriage in 1721 with Miss Brydges of Wallington, Surrey, led to an estrangement from his father, which ended in 1723 after her death in giving birth to a son, who also died. The next two years were spent by him with his family at Bifrons, and in 1725 he married, this time with his father's approval, Sabetta Sawbridge of Olantigh, Kent, who also died in childbirth in 1730; in this case, however, the child, a daughter, survived. Taylor's fragile health gave way; he fell into a decline, died at Somerset House, and was buried at St Ann's, Soho. By his father's death in 1729 he had inherited the Bifrons estate. As a mathematician, he was the only Englishman after Sir Isaac Newton and Roger Cotes capable of holding his own with the Bernoullis; but a great part of the effect of his demonstrations was lost through his failure to express his ideas fully and clearly.
A posthumous work entitled Contemplatio Philosophica was printed for private circulation in 1793 by his grandson, Sir William Young, Bart., prefaced by a life of the author, and with an appendix containing letters addressed to him by Bolingbroke, Bossuet, etc. Several short papers by him were published in Phil. Trans., vols. xxvii. to xxxii., including accounts of some interesting experiments in magnetism and capillary attraction. He issued in 1719 an improved version of his work on perspective, with the title New Principles of Linear Perspective, revised by Colson in 1749, and printed again, with portrait and life of the author, in 1811. A French translation appeared in 1753 at Lyons. Taylor gave (Methodus Incrementoruin, p. 108) the first satisfactory investigaition of astronomical refraction.
