21. References For Maclaurin References for colin maclaurin. Biography in Encyclopaedia Britannica. BooksS Mills (ed.), The collected letters of colin maclaurin (Nantwich, 1982). http://www-gap.dcs.st-and.ac.uk/~history/References/Maclaurin.html

References for Colin Maclaurin Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: S Mills (ed.), The collected letters of Colin Maclaurin (Nantwich, 1982). E L Sageny, Colin Maclaurin and the Foundations of the Method of Fluxions (PhD Thesis, Princeton, 1989). H W Turnbull, Bi-centenary of the death of Colin Maclaurin (1698-1746), mathematician and philosopher, professor of mathematics in Marischal College, Aberdeen (1717-1725) (Aberdeen, 1951). Articles: Colin Maclaurin, The Scottish Nation III (Edinburgh, 1869), 37-38. Colin Maclaurin, Biographical Dictionary of Eminent Scotsmen III (Glasgow, 1872), 64-69. Colin Maclaurin, Dictionary of National Biography XXXV (London, 1893), 196-198. G Giorello, The 'fine structure' of mathematical revolutions : metaphysics, legitimacy, and rigour, The case of the calculus from Newton to Berkeley and Maclaurin, in Revolutions in mathematics (New York, 1992), 134-168. J V Grabiner, Was Newton's calculus a dead end? The continental influence of Maclaurin's treatise of fluxions, Amer. Math. Monthly

22. Maclaurin, Colin (1698-1746) -- From Eric Weisstein's World Of Scientific Biogra maclaurin, colin (16981746), Scottish mathematician who became a discipleof Newton. He published the first systematic formulation http://scienceworld.wolfram.com/biography/Maclaurin.html

Branch of Science Mathematicians Nationality Scottish Maclaurin, Colin (1698-1746) Scottish mathematician who became a disciple of Newton . He published the first systematic formulation of Newton's methods in A Treatise of Fluxions (1742). In this work, he developed a method for expanding functions about the origin in terms of series now known as Maclaurin series This method was generalized to expansion about an arbitrary point by Brook Taylor . Maclaurin also invented several devices, made astronomical observations, and improved maps of the Scottish isles. Maclaurin knew Cramer's rule probably as early as 1729. Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

23. Maclaurin, Colin encyclopediaEncyclopedia maclaurin, colin, muklôr'in, –lär'in PronunciationKey. maclaurin, colin , 1698–1746, Scottish mathematician http://www.infoplease.com/ce6/people/A0830990.html

The # 1 wireless color security cam! Ultimate home movie ! Genuine Indian and Asian astrology reports and consultations by reputed Vedic Astrologers. Step-by-step guide to finding money for a growing business All Infoplease All Almanacs General Entertainment Sports Biographies Dictionary Encyclopedia Infoplease Home Almanacs Atlas Dictionary ... Fact Monster Kids' reference Info:Daily Fun facts Homework Center Newsletter You've got info! Help Site Map Visit related sites from: Family Education Network Encyclopedia Maclaurin, Colin [m u Pronunciation Key Maclaurin, Colin , Scottish mathematician and natural philosopher, one of the greatest mathematicians of his time. He was professor at Aberdeen and from 1725 at the Univ. of Edinburgh. He was an authority on fluxions (as Newton's version of the calculus was called), on Newton's gravitational theory, and on geometry. He also contributed to astronomy, cartography, and did actuarial computation for insurance companies. His writings include Geometria organica (1720) and A Treatise on Fluxions McLaughlin, Andrew Cunningham

24. Maclaurin, Colin maclaurin, colin (16981746) In 1709 maclaurin entered the University of Glasgowwhere he became acquainted with Robert Simson, professor of mathematics. http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Maclaurin, Colin (16981746) In 1709 Maclaurin entered the University of Glasgow where he became acquainted with Robert Simson, professor of mathematics. In 1715 Maclaurin defended the thesis On the Power of Gravity , for which he was awarded his degree. It led to his appointment, in 1717, as professor of mathematics at Marischal College in Aberdeen, although he was still only in his teens. This appointment marked the beginning of a brilliant mathematical career. His book Geometrica organica, sive descriptio linearum curvarum universalis dealt with the general properties of conics and of higher plane curves. Maclaurin was elected a fellow of the Royal Society of London in 1719. Maclaurin’s Treatise of Fluxions (1742) has been described as the earliest logical and systematic publication of Newton's methods. It stood as the model of rigor until the appearance of Cauchy’s Cours d’analyse in 1821. Maclaurin was a zealous disciple of Newton, and in his work he tried to provide a geometrical framework for the doctrine of fluxions Maclaurin hoped to refute Newton's critics, the most vociferous of whom was

25. 1600 - 1800 Translate this page Berkeley, George, (16851753), Taylor, Brook, (16851731), maclaurin, colin,(16981746), Bernoulli, Daniel, (17001782), Euler, Leonhard, (17071783), http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

A.D. Snel, Willebrord St. Vincent, Gregory Mersenne, Marin Descartes, René ... Cavalieri, Bonaventura (ca. 15981647) Fermat, Pierre de Roberval, Gilles Wallis, John Torricelli, Evangelista ... Fourier, Joseph A.D.

26. Maclaurin, Colin. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. maclaurin, colin. (mklôr´ n, –lär´ n) (KEY) , 1698–1746, Scottish mathematician http://www.bartleby.com/65/ma/Maclauri.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Maclaurin, Colin

27. Maclaurin, Colin maclaurin, colin 16981746, Scottish mathematician and natural philosopher,one of the greatest mathematicians of his time. maclaurin, colin. http://www.slider.com/enc/32000/Maclaurin_Colin.htm

mp3 players Home Encyclopeadia L Lyo - Lyt ... Rope Ladders Trellian WebPage Slider Search: The Web Encyclopaedia Shopping Index Help Encyclopaedia Maclaurin, Colin 1698-1746, Scottish mathematician and natural philosopher, one of the greatest mathematicians of his time. He was professor at Aberdeen and from 1725 at the Univ. of Edinburgh. He was an authority on fluxions (as Newton's version of the calculus was called), on Newton's gravitational theory, and on geometry. He also contributed to astronomy, cartography, and did actuarial computation for insurance companies. His writings include Geometria organica (1720) and A Treatise on Fluxions Add URL Advertise Contact Us calculus

28. M - Mac shark Mackinac Mackinaw City Mackinder, Sir Halford John Mackintosh, Charles RennieMackintosh, Sir James Macklin, Charles maclaurin, colin Maclay, William http://www.slider.com/enc/m_1.htm

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29. Maclaurin, Colin maclaurin, colin (16981746). Scottish mathematician who played a leadingpart in establishing the hegemony of Isaac Newton's calculus in the UK. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/M/Maclaurin/1.ht

Maclaurin, Colin Scottish mathematician who played a leading part in establishing the hegemony of Isaac Newton's calculus in the UK. Maclaurin was the first to present the correct theory for distinguishing between the maximum and minimum values of a function. Maclaurin was born in Argyllshire and studied at Glasgow. At the age of 19, he was appointed professor at the Marischal College of Aberdeen. On a visit to London in 1719 he first met Isaac Newton. Maclaurin left Aberdeen 1722 to become travelling tutor to the son of an English diplomat, returning to Scotland 1724 to become professor at Edinburgh. He won the admiration of Edinburgh society for his public lectures and demonstrations in experimental physics and astronomy. In 1745, during the Jacobite rebellion, he organized the defence of Edinburgh. Maclaurin's Treatise of Fluxions 1742 was an attempt to prove Newton's doctrine of prime and ultimate ratios and to provide a geometrical framework to support Newton's fluxional calculus. So influential was the treatise that it contributed to the ascendancy of Newtonian mathematics which cut off Britain from developments in the rest of the world.

30. Mathematicians Translate this page maclaurin, colin Mandelbrot, Benoit B. Mästlin, Michael Markov, Andrei Mayer,Christian McCrea, William Hunter McCrae, John, Mersenne, Marin Milne, Edward http://www.cartage.org.lb/en/themes/Biographies/Categories/Scientists/Mathematic

Maclaurin, Colin Mandelbrot, Benoit B. Markov, Andrei Mayer, Christian Maclaurin, Colin Mandelbrot, Benoit B. Markov, Andrei Mayer, Christian ... Muir, Thomas

31. MACLAURIN, Colin, An Account Of Sir Isaac Newton's Philosophical Discoveries, In B. L. Rootenberg Rare Books. maclaurin, colin An account of SirIsaac Newton's philosophical discoveries, in four books. London http://www.polybiblio.com/blroot/4987.html

MACLAURIN, Colin An account of Sir Isaac Newton's philosophical discoveries, in four books. London Printed for the author's children 1748 8vo., [xxviii], xx, 392 pp., With half-title, subscriber's list, publisher's advertisements, errata, and six folding engraved plates. A handsome copy in contemporary marbled boards, rebacked and recornered; interior clean, without the usual browning. Preserved in a slipcase. First edition of this author's defense of the most controversial points of Newton's cosmology, as well as his theories of celestial motion and gravity. Published posthumously by subscription for the benefit of the author's family, this edition contains a biography of Maclaurin by Patrick Murdoch (d. 1744), still the primary source of biographical information on the author.Maclaurin (1698-1746), a leading mathematician, natural philosopher, and friend of Newton who was appointed to his chair of mathematics at Edinburgh on Newton's recommendation, introduced a method of generating conics named in his honor. He is also renowned for his proof that a homogeneous liquid mass revolving uniformly around an axis under the action of gravity must assume an ellipsoid form of revolution. This item is listed on Bibliopoly by ; click here for further details.

32. Maclaurin maclaurin, colin. (16981746). Skotský matematik, který se stal následovníkemNewtona. Jako první publikoval systematické formulace http://www.aldebaran.cz/famous/people/Maclaurin_Colin.html

Maclaurin, Colin Skotský matematik, který se stal následovníkem Newtona . Jako první publikoval systematické formulace Newtonových metod v díle A Treatise of Fluxions z roku 1742. V tomto díle použil k øešení rostoucích funkcí tzv. Maclaurinovy øady, které se staly inspirací pro Brooka Taylora a jeho Taylorovu øadu. Maclaurin také vynalezl nìkolik užiteèných zaøízení, zhotovil astronomickou observatoø a zlepšil mapu ostrovù pøiléhajících ke Skotsku. Pravdìpodobnì znal Cramerovo pravidlo již v roce 1729. Astrofyzika Galerie Sondy Úkazy ... Odkazy

33. Genealogy Data Mary Hartwell Family Marriage living in St Lukes, Scone, NSW Spouse CROAKER,Barbara Ann Gender Female Children maclaurin, colin Birth living http://www.st.net.au/~susanp/dat12.html

Genealogy Data Back to Main Page HARRIDGE, Elizabeth Birth : 30 JAN 1732/33 Gender: Female Family: Marriage: 31 MAY 1756 in Prittlewell, Essex. UK Spouse: ALSTON, Thomas Birth : 1717 Death : ABT 1762 Gender: Male Parents: Father: ALSTON, Thomas Mother: KILLINGSWORTH, Mary Children: ALSTON, William ALSTON, Elizabeth Birth : ABT 1758 Gender: Female Back to Main Page ALSTON, Edward Birth : JUL 1712 Newton, Suffolk. UK Death : OCT 1785 Newton, Suffolk. UK Gender: Male Parents: Father: ALSTON, Nicholas Mother: FAIRBROTHER, Elizabeth Family: Marriage: 1743 Spouse: TOLLER, Elizabeth (nee LEE) Death : 1775 Gender: Female Children: ALSTON, Edward ALSTON, Elizabeth Birth : 22 DEC 1752 Death : 1831 Gender: Female ALSTON, Toller Birth : 17 OCT 1754 Death : 10 JUL 1755 Gender: Male ALSTON, Lucy Birth : 29 FEB 1756 Gender: Female ALSTON, Thomas ALSTON, Samuel Birth : 1759 Death : MAR 1835 Gender: Male ALSTON, Judith Birth : 1762 Death : 1833 Gender: Female ALSTON, Toller Birth : 1766 Death : 1790 Gender: Male Back to Main Page THEOBALD, Alice Birth : 1766 Death : 1827 Gender: Female Family: Marriage: 26 SEP 1787 in St. Luke's Church, Old Street, St. Lukes, London

34. Genealogy Index For Surnames Beginning With M MACKAY, William Gordon () MACKENFIELD, Constance (-) MACKENZIE, Hilda Ann (-25 SEP1918) MACKEY, Duncan (UNKNOWN-1914) maclaurin, colin (living) maclaurin http://www.st.net.au/~susanp/idxm.html

Genealogy Index for surnames beginning with M Back to Main Page M'GILDOWNEY, Charles (1770-24 JAN 1842) M'GILDOWNEY, John (FEB 1820-) MacDonald, Alexandrina Victoria (Hon.) MACDONALD, Archibald William M.A. MacDONALD, Elizabeth Helen MacDONALD, R. ... MacDOWALL, Charles (18 DEC 1807-25 FEB 1856) MacDOWALL, Elizabeth Anne (15 FEB 1827-23 JUL 1921) MACFARLANE, Charles MACFARLANE, Janet Alston (7 FEB 1895-) MACFARLANE, John Cameron (Ian) (13 JUN 1896-) MACFARLANE, William Alston (30 SEP 1897-) MACGREGOR, George Hall MACKAY, Alice MACKAY, Barbara MACKAY, Charles (living) MACKAY, Donald MACKAY, Elaine Beth (living) MACKAY, Isabel Judith (living) MACKAY, Isabell MACKAY, W. R. G. MACKAY, William Gordon MACKENFIELD, Constance ... MACKENZIE, Hilda Ann (-25 SEP 1918) MACKEY, Duncan (UNKNOWN-1914) MACLAURIN, Colin (living) MACLAURIN, Dorothea (living) MACLAURIN, Emily Elizabeth (living) MACLAURIN, Evan Colin Briarcliffe (14 SEP 1912-24 FEB 1979) MACLAURIN, Helen (living) MACLAURIN, James (living) MACLAURIN, James Briarcliffe (ABT 1874-ABT 1938) MACLAURIN, Jill

35. Maclaurin,Colin M For . maclaurin, colin (16981746). He was born in Scotland, UKand studied at Glasgow University and was Professor of Mathematics http://www.moe.edu.sg/schools/siling/onlineqns/Maths/Project/maclauri.htm

M For .... Maclaurin, Colin (1698-1746) He was born in Scotland, UK and studied at Glasgow University and was Professor of Mathematics at Aberdeen university and chairman of Mathematics at Edinburgh University. His best known work, ' Treatise on Fluxions' in 1742 gave a systematic account of Newton's approach to calculus, taking a Geometric point of view. Home A B C ... L ] [M] [ N O P Q ... Z

36. Euler-Maclaurin Formula - Wikipedia machinery of calculus. The formula was discovered independently byLeonhard Euler and colin maclaurin around 1735. Euler needed http://www.wikipedia.org/wiki/Euler-Maclaurin_formula

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Euler-Maclaurin formula From Wikipedia, the free encyclopedia. The Euler-Maclaurin formula provides a powerful connection between integrals (see calculus ) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus. The formula was discovered independently by Leonhard Euler and Colin Maclaurin around . Euler needed it to compute slowly converging infinite series while Maclaurin used it to calculate integrals. If n is a natural number and f x ) is a smooth (meaning: sufficiently often differentiable function defined for all real numbers x between and n , then the integral can be approximated by the sum (see trapezoidal rule ). The Euler-Maclaurin formula provides expressions for the difference between the sum and the integral in terms of the higher derivatives

37. Colin McLaren maclaurin, colin, an eminent mathematician, youngest son of the Reverend John maclaurinminister of Glenderule, author of an Irish version of the Psalms, was http://www.jim-mclaren.co.uk/colin_mclaren.htm

In 1745, having been very active in making plans, and superintending the operations necessary for the defence of the city of Edinburgh against the Highland army, Mr. MacLaurin was, upon their entering the city, obliged to withdraw to the north of England, when he was invited by the archbishop of York to reside with him. On his journey southward he had a fall from his horse, and the fatigue, anxiety, and cold to which he was exposed on this occasion, laid the foundation of a dropsy, of which he died soon after his return to Edinburgh, June 14, 1746. His portrait, from an engraving in Smiths Iconographia Scotica, is subjoined. His works are. Geometra Organica, sive Descriptio Linearum Curvarum, Universalis. Lond., 1720, 4to. The same, with the Life and Writings of The Author, by Pat. Murdoch. Lond., 1748, 4to. Piece qui a remporte le Prix de L'Academie Royale des Sciences proposé pour l'anné e mill sept cens vingt-quatre, selon la Foundatione fait par feu M. Rouille de Morlay, Ancien Conseiller au Parlément de Paris. Par. 1724, 4to. A complete System of Fluxions; with their application to the most considerable Problems in Geometry and Natural Philosophy. Edin. 1742, 2 vols. 4to.

38. ThinkQuest Library Of Entries Emery student of the calculus is familiar with the name of the Englishman BrookTaylor (16851731) and the mane of the Scotsman colin maclaurin (1698-1746 http://library.thinkquest.org/22584/temh3022.htm

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Mathematics History , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Mathematics History click here Back to the Previous Page The Site you have Requested ... Mathematics History click here to view this site A ThinkQuest Internet Challenge 1998 Entry Click image for the Site Languages : Site Desciption An extensive history of mathematics is at your fingertips, from Babylonian cuneiforms to advances in Egyptian geometry, from Mayan numbers to contemporary theories of axiomatical mathematics. You will find it all here. Biographical information about a number of important mathematicians is included at this excellent site. Students Hyun-jin Jae-yun Hwang(Seoul Yo Sang) Korea, South Kyung-sun Jae-yun Hwang(Seoul Yo Sang) Korea, South So-young Jae-yun Hwang(Seoul Yo Sang) Korea, South

39. Maclaurin, Colin (1698-1746) -- From Eric Weisstein's World Of Scientific Biogra Similar pages Manuscripts Catalogue colin maclaurin 16981746, 15 entries. colin maclaurin. Autograph letters,copies of letters and other material relating to his life. http://www.astro.virginia.edu/~eww6n/bios/Maclaurin.html

Branch of Science Mathematicians Nationality Scottish Maclaurin, Colin (1698-1746) Scottish mathematician who became a disciple of Newton . He published the first systematic formulation of Newton's methods in A Treatise of Fluxions (1742). In this work, he developed a method for expanding functions about the origin in terms of series now known as Maclaurin series This method was generalized to expansion about an arbitrary point by Brook Taylor . Maclaurin also invented several devices, made astronomical observations, and improved maps of the Scottish isles. Maclaurin knew Cramer's rule probably as early as 1729. Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

40. Scottish Thought And Letters In The Eighteenth Century of the earth were published. 78. maclaurin, colin. Geometria organica.London 1720 Eaton 14. A child prodigy, maclaurin entered http://special.lib.gla.ac.uk/exhibns/scottish/sci-med.html

Special Collections Library Home Special Collections Catalogues Main Library ... Course Material Scottish Thought and Letters in the Eighteenth Century Introduction History and Antiquites Geography Travels ... Literature SCIENCE AND MEDICINE 74. SIMSON, Robert. Volume of holograph letters on mathematical topics between Robert Simson.and Matthew Stewart. [1741-1755] MS Gen 146 After graduating at Glasgow University in 1711, Robert Simson spent a year in London where he met several eminent mathematicians, amongst them Edward Halley. It was the latter's influence that tended to confirm Simson's interest in the writings of the Greek mathematicians. In 1712 Simson returned to Glasgow as Professor of Mathematics. The rest of his life was spent in teaching and in research on the early Greek mathematicians - he published important works on Euclid, Pappus of Alexandria and Apollonius of Perga. This correspondence between Simson and Matthew Stewart (Professor of Mathematics at Edinburgh) was published in The proceedings of the Edinburgh Mathematical Society , vol. XXI, session 1902-1903.

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