Brook Taylor (August 18, 1685 – November 30, 1731) was an English mathematician. His is the name that is attached to Taylor's Theorem and the Taylor Series. August 18 is the 230th day of the year (231st in leap years) in the Gregorian calendar. ... Events February 6 - James Stuart, Duke of York becomes King James II of England and Ireland and King James VII of Scotland. ... November 30 is the 334th day (335th in leap years) of the year in the Gregorian calendar, with 31 days remaining. ... Events 10 Downing Street becomes the official residence of the United Kingdoms Prime Minister when Robert Walpole moves in. ... Motto (French) God and my right Anthem God Save the King (Queen) England() – on the European continent() – in the United Kingdom() Capital (and largest city) London (de facto) Official languages English (de facto) Government Constitutional monarchy  -  Queen Queen Elizabeth II  -  Prime Minister Tony Blair MP Unification  -  by Athelstan 967  Area... In calculus, Taylors theorem, named after the mathematician Brook Taylor, who stated it in 1712, gives the approximation of a differentiable function near a point by a polynomial whose coefficients depend only on the derivatives of the function at that point. ... As the degree of the Taylor series rises, it approaches the correct function. ...

Brook Taylor

His father was John Taylor of Bifrons House, Kent, his mother was Olivia Tempest of Durham. He was born at Edmonton (at that time in Middlesex). He entered St John's^{[disambiguation needed]} (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). Brook Taylor This image is in the public domain because its copyright has expired in the United States and those countries with a copyright term of life of the author plus 100 years. ... Brook Taylor This image is in the public domain because its copyright has expired in the United States and those countries with a copyright term of life of the author plus 100 years. ... coat of Arms of Kent For other uses, see Kent (disambiguation). ... Durham (IPA: locally, in RP) is a small city and main settlement of the City of Durham district of County Durham in North East England. ... Edmonton is a place in the eastern part of the London Borough of Enfield. ... The Middlesex Guildhall at Westminster Middlesex is one of the 39 historic counties of England and was the second smallest (after Rutland). ... Saint John may refer to: Several Saints: John the Apostle, one of the twelve apostles of Jesus John the Evangelist, traditionally identified with the apostle, to whom the Gospel of John is attributed, often along with 1 John, 2 John, 3 John, and Revelation. ... Shortcut: WP:D or WP:DAB Disambiguation in Wikipedia and Wikimedia is the process of resolving the conflict that occurs when articles about two or more different topics have the same natural title. ... 1754 was a common year starting on Tuesday (see link for calendar). ... 1761 was a common year starting on Thursday (see link for calendar). ...

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 friage in 1721 with Miss Brydges of Wallington, 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 the date of 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. The premises of The Royal Society in London (first four properties only). ... // Events Treaty of Aargau signed between Catholic and Protestants. ... Sir Isaac Newton, (4 January 1643 – 31 March 1727) [ OS: 25 December 1642 – 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist, regarded by many as the greatest figure in the history of science. ... It has been suggested that this article be split into multiple articles. ... January 13 is the 13th day of the year in the Gregorian calendar. ... Battle of Gangut, by Maurice Baquoi, 1724-27. ... October 21 is the 294th day of the year (295th in leap years) in the Gregorian calendar, with 71 days remaining. ... // The Funj warrior aristocracy deposes the reigning mek and places one of their own ranks on the throne of Sennar. ... // Events July 24 - Spanish treasure fleet of ten ships under admiral Ubilla leave Havana, Cuba for Spain. ... Nicolas Malebranche. ... // Events Pope Innocent XIII becomes pope Johann Sebastian Bach composes the Brandenburg Concertos April 4 - Robert Walpole becomes the first prime minister of Britain September 10 - Treaty of Nystad is signed, bringing an end to the Great Northern War November 2 - Peter I is proclaimed Emperor of All the Russias... Wallington is a town in the London Borough of Sutton situated 10. ... Events Pope Clement XII elected September 17 - Change of emperor of the Ottoman Empire from Ahmed III (1703-1730) to Mahmud I (1730-1754) Anna Ivanova (Anna I of Russia) became czarina Births April 16 - Henry Clinton, British general (d. ... The central courtyard of Somerset House in London. ... Soho is an area of central Londons West End, in the borough of the City of Westminster. ... Events July 30 - Baltimore, Maryland is founded. ... Roger Cotes (Burbage, Leicestershire July 10, 1682 – June 5, 1716 in Cambridge, Cambridgeshire) was an English mathematician. ...

A posthumous work entitled Contemplatio Philosophica was printed for private circulation in 1793 by his grandson, Sir William Young, 2nd Bart., (d 10 Jan 1815) 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 John Colson in 1749, and printed again, with portrait and life of the author, in 1811. A French translation appeared in 1753 at Lyon. Taylor gave (Methodus Incrementorum, p. 108) the first satisfactory investigation of astronomical refraction. 1793 was a common year starting on Tuesday (see link for calendar). ... Magnetic lines of force of a bar magnet shown by iron filings on paper In physics, magnetism is one of the phenomena by which materials exert an attractive or repulsive force on other materials. ... This article or section does not adequately cite its references or sources. ... // Events January 23 - The Principality of Liechtenstein is created within the Holy Roman Empire April 25 - Daniel Defoe publishes Robinson Crusoe June 10 - Battle of Glen Shiel Prussia conducts Europes first systematic census Miners in Falun, Sweden find an apparently petrified body of Fet-Mats Israelsson in an unused... Johnathan John Colson was a Lucasian Professor of Mathematics at Cambridge University. ... Events While in debtors prison, John Cleland writes Fanny Hill (Memoirs of a Woman of Pleasure). ... 1811 was a common year starting on Tuesday (see link for calendar). ... 1753 was a common year starting on Monday (see link for calendar). ... City flag City coat of arms Motto: (Franco-Provençal: Forward, forward, Lyon the best) Location Coordinates Time Zone CET (GMT +1) Administration Country France Region Rhône-Alpes Department Rhône (69) Subdivisions 9 arrondissements Intercommunality Urban Community of Lyon Mayor Gérard Collomb  (PS) (since 2001) City Statistics...

References

This article incorporates text from the Encyclopædia Britannica Eleventh Edition, a publication now in the public domain. Encyclopædia Britannica, the 11th edition The Encyclopædia Britannica Eleventh Edition (1910–1911) is perhaps the most famous edition of the Encyclopædia Britannica. ... The public domain comprises the body of all creative works and other knowledge—writing, artwork, music, science, inventions, and others—in which no person or organization has any proprietary interest. ...

External links

• O'Connor, John J.; Edmund F. Robertson "Brook Taylor". MacTutor History of Mathematics archive.