81. Numerical Methods Using Mathematica We attribute much of the founding theory to Brook Taylor (16851731),colin maclaurin (1698-1746) and Joseph-Louis Lagrange (1736-1813). http://math.fullerton.edu/mathews/n2003/Web/TaylorPolyMod/TaylorPolyMod.html

Module for Maclaurin and Taylor Series Numerical Methods using Mathematica Background. When a Taylor series is truncated to a finite number of terms the result is a Taylor polynomial. A Taylor series expanded about , is called a Maclarin series. These Taylor (and Maclaurin) polynomials are used to numerically approximate functions. We attribute much of the founding theory to Brook Taylor Colin Maclaurin (1698-1746) and Joseph-Louis Lagrange Theorem ( Taylor Polynomial Approximation Assume that and is a fixed value. If , then where is a polynomial that can be used to approximate , and we write The error term has the form for some value that lies between . The formula is referred to as the Lagrange form of the remainder. Animations ( Taylor and Maclaurin Polynomial Approximation Taylor and Maclaurin Polynomial Approximation Internet hyperlinks to animations. Example 1. Consider the function 1 (a). Find the terms up to 1 (b). Investigate the error term 1 (c). Find the terms up to Solution 1 (a).

82. MacLaurin Translate this page colin maclaurin né à Kilmodan en février 1698, décédé à York,le 14 juin 1746. maclaurin fut professeur de mathématiques http://www.bib.ulb.ac.be/coursmath/bio/maclauri.htm

Colin MacLaurin né à Kilmodan en février 1698, décédé à York, le 14 juin 1746. Maclaurin fut professeur de mathématiques au Marischal College à Aberdeen de 1717 à 1725 et à l'université d'Edimbourg de 1725 jusqu'en 1745. Il fit des travaux remarquables en géométrie, plus précisément dans l'étude de courbes planes. Il écrivit un important mémoire sur la théorie des marées. Maclaurin fut élu membre de la Royal Society en 1719 et en 1724 il reçut un prix de l'Académie des Sciences pour son travail sur le choc des corps. En 1740 il fut honoré d'un autre prix de l'Académie des Sciences pour une étude des marées. Ce prix fut décerné conjointement à Maclaurin, Euler et Daniel Bernoulli. Le premier travail important de Maclaurin fut Geometrica Oranica... publié en 1720. En 1742 il publia les deux volumes du Treatise of fluxions , le premier exposé systématique des méthodes de Newton écrit en réponse aux attaques de Berkeley relatives au manque de rigueur et de fondement. Le Treatise of fluxions est une oeuvre de 763 pages. Bien que très appréciée par ceux qui le lurent, il n'eut curieusement que peu d'influence et encouragea malheureusement les mathématiciens britanniques à utiliser la géométrie au lieu de l'analyse nouvelle qui était alors développée.

83. Edinburgh University School Of Mathematics colin maclaurin joined the younger James Gregory in 1725, formally as his assistantbut actually undertaking his duties, as Gregory was unable to teach because http://www.maths.ed.ac.uk/aboutus/history.html

home about us people research ... About us History of School History of School Mathematics has been studied at the University from its very foundation in 1583. In the early years, all students followed the same MA curriculum, modelled on that of other European universities such as Paris and Bologna. It included Greek, Logic, Philosophy, Natural Philosophy (as Physics was then known) and Mathematics. Notable amongst the early Professors of Mathematics were the three Gregory's James , his nephew David and David's brother James - who held the Chair in succession from 1674 to 1742. They were enthusiastic supporters of Isaac Newton and incorporated his ideas into their teaching, ideas which at that time were controversial and considered quite revolutionary. Colin Maclaurin In the latter part of the eighteenth century, the University saw a number of mathematicians such as Adam Ferguson John Playfair and Sir John Leslie who were typical of their time, the age of the Scottish Enlightenment. They were all-round scholars who could well move from a chair in Moral Philosophy to one in Mathematics or from one in Mathematics to Natural Philosophy. The nineteenth century saw the controversial appointment of the Rev Philip Kelland as Professor of Mathematics. He was the first Englishman with an entirely English education admitted to a chair in the University and held the Chair for 41 years. He would have taught

84. Alibris - Find Your Favorite Authors And Books At Alibris. colin Mackerras. colin Mackinnon. colin Maclachlan. colin Maclachland. colin maclaurin.colin Maclean. colin Macleod. colin Macmillan. colin Macnair. colin Maggs. http://www.alibris.com/authors/authors0065.html

Colin Lawton Colin Leach Colin Lee Colin Legum Colin Lawton Colin Leach Colin Lee Colin Legum ... Conrad Bohm

85. GalaxyGoo Math Links: Mathematicians, Historical Gottfried Wilhelm von; maclaurin, colin; Mandelbrot, Benoit; Newton,Sir Isaac; Pascal, Blaise; Plato; Ptolemy, Claudius; Pythagoras of http://www.galaxygoo.org/blogs/archives_math/000153.html

GalaxyGoo Math Links Links to Math Resources Main December 14, 2002 Mathematicians, Historical Biographies of Women Mathematicians Indexes of Biographies Archimedes of Syracuse Aristotle ... Weierstrass, Karl Theodor Wilhelm Posted by Richard at December 14, 2002 04:10 PM Comments Post a comment Name: Email Address: URL: Comments: Remember info?

86. Edinburgh University School Of Mathematics colin maclaurin joined the younger James Gregory in 1725, formally as his assistantbut actually undertaking his duties, as Gregory was unable to teach because http://prospectus.maths.ed.ac.uk/school/history.html

undergrad home how to apply edinburgh life school ... History of School Mathematics has been studied at the University from its very foundation in 1583. In the early years, all students followed the same MA curriculum, modelled on that of other European universities such as Paris and Bologna. It included Greek, Logic, Philosophy, Natural Philosophy (as Physics was then known) and Mathematics. Notable amongst the early Professors of Mathematics were the three Gregory's James , his nephew David and David's brother James - who held the Chair in succession from 1674 to 1742. They were enthusiastic supporters of Isaac Newton and incorporated his ideas into their teaching, ideas which at that time were controversial and considered quite revolutionary. Colin Maclaurin In the latter part of the eighteenth century, the University saw a number of mathematicians such as Adam Ferguson John Playfair and Sir John Leslie who were typical of their time, the age of the Scottish Enlightenment. They were all-round scholars who could well move from a chair in Moral Philosophy to one in Mathematics or from one in Mathematics to Natural Philosophy. The nineteenth century saw the controversial appointment of the Rev Philip Kelland as Professor of Mathematics. He was the first Englishman with an entirely English education admitted to a chair in the University and held the Chair for 41 years. He would have taught

87. Matte - Historia colin maclaurin. Mer om colin maclaurin kan du läsa på http//wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/maclaurin.html. http://magnus-karlsson.nu/matte/historia.php?maclaurin

88. ThinkQuest Library Of Entries The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set. http://library.thinkquest.org/22584/tmh3022.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

89. MacLaurin Series maclaurin Series. Last Updated 5 November 2002.© Chemistry Department. University of York. http://www.york.ac.uk/depts/chem/course/studhand/macser.html

MacLaurin Series Last Updated: 5 November 2002

90. Å×ÀÏ·¯(Brook Taylor, 1685-1731)¿Í ¸ÅŬ·Î¸°(Colin Maclaurin, 1698 The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set. http://ysg.hs.kr/~zhin/math_man/math_man_33.html

Å×ÀÏ·¯(Brook Taylor, 1685-1731) ¹ÌÀûºÐÀ» °øºÎÇÏ´Â ÇлýµéÀº ¸Å¿ì À¯¿ëÇÑ ÇÔ¼öÀÇ ÄÉÀÏ·¯ Àü°³¿Í ¸ÅŬ·Î¸° Àü°³À» ÅëÇÏ¿© ¿µ±¹ÀÇ ¼öÇÐÀÚ Å×ÀÏ·¯(Brook Taylor. 1685-1731)¿Í ½ºÄÚƲ·£µå ¼öÇÐ ¸ÅÅ©·Î¸°(Colin Maclaurin, 1698-1746)ÀÇ À̸§À» Àß ¾Ë°í ÀÖ´Ù. Å×ÀÏ·¯°¡ (¼ö·É¼ºÀÇ °íÂû ¾øÀÌ)Àß ¾Ë·ÁÁø Àü°³ Á¤¸® 1717³â¿¡ Å×ÀÏ·¯´Â ´ÙÀ½°ú °°ÀÌ ¼öÄ¡ ¹æÁ¤½ÄÀÇ ÇØ¿¡ ±×ÀÇ ±Þ¼ö¸¦ Àû¿ëÇÏ¿´´Ù. "a¸¦ f(x)=0ÀÇ ±ÙÀÇ ±Ù»ç°ªÀ̶ó°í ÇÏ°í f(a)=k , f'(a)=k', f"(a)=k", x=a+b¶ó ³õÀÚ. 0=f(a+b) ¸¦ ±Þ¼ö Àü°³ÇÏ¿© bÀÇ 2Â÷ ÀÌ»óÀÇ Ç×À» ¹«½ÇÏ°í k, k', k"ÀÇ °ªÀ» ´ëÀÔÇϸé b¸¦ ±¸ÇÒ ¼ö ÀÖ´Ù. ÀÌ °úÁ¤À» °è¼Ó µÇÇ®ÀÌÇÏ¿©º¸´Ù ±ÙÁ¢ÇÑ ±Ù»ç°ªÀ» ¾òÀ» ¼ö ÀÖ´Ù." ¿ø±Ù¹ý¿¡ °üÇÑ Å×ÀÏ·¯ÀÇ ÀϺΠ³í¹®Àº ¿À´³¯ ºñÇà±â¿¡¼­ ÂïÀº »çÁøÀ¸·Î ø·®ÇÏ´Â »çÁø ø·®¹ýÀÇ ¼öÇÐÀû ³¸®¿¡ ÀÀ¿ëµÇ°í ÀÖ´Ù.

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 5     81-90 of 90    Back | 1  | 2  | 3  | 4  | 5