61. Newton Manuscript Project Guide To Records - Bibliography BP Copenhaver, Jewish theologies of space in the scientific revolution Henry More,joseph raphson, Isaac Newton and their predecessors , Annals of Science 37 http://www.newtonproject.ic.ac.uk/catalogue/bibliography.htm

Newton Manuscript Project Guide to Records Bibliography Home Contents Introduction Abbreviations ... Bibliography J.C. Adams, G. Stokes, H.R. Luard and G.D. Liveing, A Catalogue of the Portsmouth Collection of Books and Papers written by or belonging to Sir Isaac Newton, the Scientific Part of which has been Presented by the Earl of Portsmouth to the University of Cambridge, drawn up by the Syndicate appointed 6th November 1872 (Cambridge: The University Press, 1888) H.G. Alexander, ed., The Leibniz-Clarke Correspondence, Together with Extracts from Newton's Principia and Opticks (Manchester: Manchester University Press, 1956) W.H. Austen, "Isaac Newton on science and religion", Journal of the History of Ideas J. Baillon, "La réformation permanente: les newtoniens et le dogme trinitaire," in Maria-Cristina Pitassi, ed., (Geneva, 1994), 123-37 J. Baillon, "Newtonisme et idéologie dans l'Angleterre des lumières", (doctoral thesis, Sorbonne, 1995) Science and Religion/Wissenschaft und Religion. Proceedings of the Symposium of the XVIIIth International Congress of History of Science at Hamburg-Munich, 1-9 August 1989

62. Sts3700b: Lecture Number 11a the Newtonraphson Theorem. This result was independently arrivedat by Netwon and joseph raphson (1648 - 1715). In fact the two http://www.yorku.ca/sasit/sts/sts3700b/lecture11a.html

ATKINSON FACULTY OF LIBERAL AND PROFESSIONAL STUDIES S C I E N C E A N D T E C H N O L O G Y S T U D I E S STS 3700B 6.0 HISTORY OF COMPUTING AND INFORMATION TECHNOLOGY Lecture 11: Newton and the Beginning of the Modern Era Prev Next Syllabus Selected References ... Home Topics Nature is pleased with simplicity, and affects not the pomp of superfluous causes. If I had staid for other people to make my tools and other things for me, I had never made anything of it. Isaac Newton Newtons's Deathmask (Isaac Newton Institute for Mathematical Sciences) As far as science is concerned, the figure of Isaac Newton (1643 - 1727) does stand as a watershed between the ancient world and the modern one. The introduction of the so-called "scientific method" is often attributed to Newton. Even though such a claim is very questionable, it suggests the fundamental role that he played in transforming physical science into an experimentally grounded, yet analytical, quantitative, mathematical enterprise (consider, for example, the very title of his fundamental work, Philosophiae Naturalis Principia Mathematica method of fluxions ', as he termed it, was based on his crucial insight that the integration of a function is merely the inverse procedure to differentiating it. Taking differentiation as the basic operation, Newton produced simple analytical methods that unified many separate techniques previously developed to solve apparently unrelated problems such as finding areas, tangents, the lengths of curves and the maxima and minima of functions. Newton's

63. Brief Description And Manual For The FRAME Analysis Program D_i} divided by the rootmean-square of {F}. Newton-raphson iterations stop ISBN0471551570 4. Raymond W. Clough and joseph Penzien, Dynamics of Structures http://www.duke.edu/~hpgavin/frame/frame.html

A Brief Description and Manual for the FRAME Analysis Program (version March 3, 2003) http://www.duke.edu/~hpgavin/frame/ Department of Civil and Environmental Engineering Edmund T. Pratt School of Engineering Duke University - Box 90287, Durham NC Henri Gavin - Associate Professor - Henri.Gavin@Duke.edu - tel: 919-660-5201 - fax: 919-660-5219 NAME Gnuplot SYNOPSIS frame [Input/Ouput file] DESCRIPTION http://www.duke.edu/~hpgavin/frame/ . FRAME is free software; you may redistribute it and/or modify it under the terms of the GNU General Public License ( GPL ) as published by the Free Software Foundation . FRAME is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License ( GPL ) for more details. NOTES < d ) where Q = 1/3 - 0.2244 / (d/b + 0.1607); CROSS SECTION PROPERTIES OF SOME STANDARD WOOD SECTIONS Ax Asy Asz Jp Iy Iz 2x3 3.750 2.500 2.500 1.776 1.953 0.708 2x4 5.250 3.500 3.500 2.875 6.359 0.984 2x5 6.750 4.500 4.500 3.984 11.390 1.266 2x6 8.250 5.500 5.500 5.099 20.800 1.547 2x8 10.850 7.233 7.233 7.057 47.630 2.039 2x10 13.880 9.253 9.253 9.299 98.930 2.602 2x12 16.880 11.253 11.253 11.544 178.000 3.164 2x14 19.880 13.253 13.253 13.790 290.800 3.727 in^2 in^2 in^2 in^4 in^4 in^4

64. Decomposition Of NO And NO2 Using Zeolite, Quantum Equation Modeling For Kinetic Newtonraphson Method. Newton-raphson method consists of taking the slopeof the curve . Mascetta, joseph, Barron’s Chemistry, Barrons, 1998. http://ceaspub.eas.asu.edu/Singhal/Research/papers/zeolite/

[ Avi Singhal's Reseach Publications Online ] Decomposition of NO and NO Using Zeolite, Quantum Equation Modeling for Kinetic Rate with and without CO and O Avi Singhal, Jim Adams, and Jaya Rajman Arizona State University Tempe, Arizona Abstract One of the major environmental problems of our time is the presence of nitrous oxide (NO) as an exhaust gas from automobiles. The primary goal of this research is to determine the quantum mechanism that aids the conversion of NO through the use of naturally found zeolite called Cu-ZMS-5 and small quantities of ammonia (NH ). During the conversion process, the effectiveness of zeolite is degraded. During the experiments performed at the Ford Motor Company without NH , it is found that the catalyst zeolite needs to be frequently replaced. Rate equation analysis based on energy principles will be used to determine the mechanism, which makes ZMS-5 effective. Decomposition of NO to nitrogen is a very active topic of current research especially at Shell Chemicals and California Institute of Technology. One of the primary goals of this research is to numerically produce the general trends as observed by experimental studies carried by Iwamoto, specifically look at the gas concentration as a function of time and temperature. These results will also be compared with other preliminary calculations previously made at ASU.

65. Origins Of Some Arithmetic Terms 3. Apparently, the first English translation of Leibniz' Nova Methodvs pro maximiset minimis was carried out by joseph raphson in The Theory of Fluxions http://www.pballew.net/arithme1.html

Origins of some Math terms Abscissa is the formal term for the x-coordinate of a point on a coordinate graph. The abscissa of the point (3,5) is three. The word is a conjunction of ab (remove) + scindere (tear). Literally then, to tear or cut apart, as a line perpendicular to the x-axis would do to the coordinate plane. The main root is closely related to the Latin root from which we get the word scissors. Leibniz apparently coined the mathematical use of the term around 1692. Absolute Value The word absolute is from a variant of absolve and has a meaning related to free from restriction or condition. It seems that the mathematical phrase was first used by Karl Weierstrass in reference to complex numbers. In "The Words of Mathematics", Steven Schwartzman suggests that the use of the word for real values only became common in the middle of the 20th century. For complex numbers the absolute value is also called magnitude or length of the complex number. Complex numbers are sometimes drawn as a vector using an Argand Diagram Acute is from the Latin word acus for needle, with derivatives generalizing to anything pointed or sharp. The root persists in the words acid (sharp taste), acupuncture (to treat with needles) and acumen (mentally sharp). An acute angle then, is one which is sharp or pointed. In mathematics we define an acute angle as one which has a measure of less than 90

66. TOC Funaro Pages 447 457, Randomized Newton-raphson G. joseph, A. Levine,J. Liukkonen Pages 459 - 469, Stability and convergence of http://portal.acm.org/toc.cfm?id=96588&coll=portal&dl=ACM&type=issue&CFID=111111

67. Nature Publishing Group Nasir alDin al-Tusi, who appears here, is only one of many in a traditionthat reaches well beyond Isaac Newton and joseph raphson (whose separate http://www.nature.com/cgi-taf/DynaPage.taf?file=/nature/journal/v403/n6771/full/

68. StatLib---General Archive Submitted by Lawrence joseph (joseph@binky.epi.mcgill.ca), David Wolfson and 13kb)dassoc Fortran program using the modified Newtonraphson algorithm for http://www.stat.unipg.it/stat/statlib/general/

StatLib-General Archive This collection contains a variety of software written in Fortran, C and Lisp, some complete statistical systems and other odds and ends. To contribute software to this archive, please obtain a copy of the submission instructions: send mail to statlib and ask send submissions from general The software is not warranteed in any way. Unless otherwise stated the software is exactly what is provided by the submitters. All questions and comments should be directed to the submitter. Some of the entries are shar archives. If you don't know how to deal with a shar archive, send the message send shar from general for instructions. The general archive currently contains: submissions The instructions for how to submit software to statlib. [1/May/89] (1673 bytes) accflf See utexas below. Program to fit very general accelerated failure model with log-F error to possibly censored data. ace Brieman and Friedman's ACE algorithm (in fortran). Estimates optimal transformations for multiple regression [10/Oct/89][5/Jan/94] (38 kbytes) adj_ptsl.tar.gz

69. John Fauvel theory in traditions of problemsolving going back four thousand years, in a linestretching through Newton (and his youngr colleague joseph raphson) back to http://ifs.massey.ac.nz/mathnews/NZMS73/centrefold.html

CENTREFOLD John Fauvel This year's New Zealand Mathematical Society Visiting Lecturer, John Fauvel, is a historian of mathematics from the Open University in the UK. He will arrive in Auckland on 26 September, and spend the next three weeks touring through the universities in a southerly direction. The Open University teaches students who are studying part-time, from home, and has built up a strong reputation for the quality of its teaching materials designed to be studied at a distance. John brings on his visit to New Zealand a great enthusiasm for mathematics education at all levels, and the use of history of mathematics within that teaching and learning process. This is the first time that the New Zealand Mathematical Society Visiting Lecturer has been a specialist in the history of mathematics. A Scot, born in Glasgow, John was educated in mathematics at the universities of Essex and Warwick before joining the Open University to help in an area which the University (then in its early years) was seeking to develop, the history of mathematics. Since then he has worked on mathematics as well as interdisciplinary courses. It was for an Open University course on the history of mathematics that John produced, with his OU colleague Jeremy Gray, one of the leading source-books in the field, "The history of mathematics: a reader" (Macmillan 1987). John's last visit to New Zealand, in 1995, was to make some films for the Open University's foundation mathematics course, having returned from an earlier visit to insist to his UK colleagues that every possible way in which mathematical modelling is used to understand the world can be found in New Zealand! The films include the modelling work of Colin Fox (University of Auckland), David Fletcher (University of Otago), and Dion Burns (University of Otago), an interview with statistician Wiremu Solomon (University of Auckland), and include, too, the 1858 Maori arithmetic which John found in the Auckland Public Library on his previous visit, thanks to the help of New Zealand's historian-in-residence Garry Tee and Auckland mathematics educator Bill Barton.

70. Math.colgate.edu/faculty/dlantz/disccalc/calcbatl.txt How can a man of intellect conceive of such a stupid notation? It must be madeclear that Leibniz is a villain joseph, joseph raphson, I need a favor. http://math.colgate.edu/faculty/dlantz/disccalc/calcbatl.txt

71. TStat - O F F I C I A L - S I T E by James Hardin and joseph Hilbe Introduction Origins and motivation; Notational Newton–raphson;Starting values for Newton–raphson; Fisher scoring; Starting http://www.tstat.it/novita/testi/generalizedlinmods.htm

var toolupImages = Array( new ImageSet("home","../../images/tool_up/home_off.gif","../../images/tool_up/home_on.gif"), new ImageSet("chisiamo","../../images/tool_up/chi_off.gif","../../images/tool_up/chi_on.gif"), new ImageSet("novita","../../images/tool_up/novita_off.gif","../../images/tool_up/novita_on.gif"), new ImageSet("softw","../../images/tool_up/soft_off.gif","../../images/tool_up/soft_on.gif"), new ImageSet("libreria","../../images/tool_up/libreria_off.gif","../../images/tool_up/libreria_on.gif"), new ImageSet("richiesta","../../images/tool_up/richiesta_off.gif","../../images/tool_up/richiesta_on.gif"), new ImageSet("corsi","../../images/tool_up/corsi_off.gif","../../images/tool_up/corsi_on.gif"), new ImageSet("contact","../../images/tool_up/contact_off.gif","../../images/tool_up/contact_on.gif"), new ImageSet("registrazione","../../images/tool_up/registrazione_off.gif","../../images/tool_up/registrazione_on.gif") ); NOVITA'/TESTI Contents of Generalized Linear Models and Extensions by James Hardin and Joseph Hilbe Introduction Origins and motivation Notational conventions Applied or theoretical?

72. Raphson http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Raphson.html

RAPHSON Joseph anglais, 1648-1715 de Newton de Newton-Raphson Thomas Ceva Tschirnhausen

73. Index Of Scientists Leclerc Comte De. Bunnett, Joseph Frederick. Bunsen, Robert List of mathematical biographies indexed alphabetically http://careerchem.com/NAMED/Index-Scientists.pdf

74. Numerical Methods Using Mathematica of . The method is attributed to Sir Isaac Newton (16431727) andJoseph raphson (1648-1715). Theorem (Newton-raphson Theorem). http://math.fullerton.edu/mathews/n2003/Web/Newton'sMethodMod/Newton'sMethodMod.

Module for Newton's Method Numerical Methods using Mathematica If are continuous near a root , then this extra information regarding the nature of can be used to develop algorithms that will produce sequences that converge faster to than either the bisection or false position method. The Newton-Raphson (or simply Newton's) method is one of the most useful and best known algorithms that relies on the continuity of . The method is attributed to Sir Isaac Newton (1643-1727) and Joseph Raphson Theorem ( Newton-Raphson Theorem Assume that and there exists a number , where . If , then there exists a such that the sequence defined by the iteration for will converge to for any initial approximation Derivation. Animations ( Newton's Method Newton's Method Internet hyperlinks to animations. Algorithm ( Newton-Raphson Iteration To find a root of given an initial approximation using the iteration for Mathematica Subroutine (Newton-Raphson Iteration). Example 1. Use Newton's method to find the three roots of the cubic polynomial . Determine the Newton-Raphson iteration formula that is used. Show details of the computations for the starting value

75. HP49G Symbolic Math Applications Algebraics with units may be automatically evaluated to arbitrary precision,and it also includes a simple Newtonraphson solver for rootsolving. http://www.hpcalc.org/hp49/math/symbolic/

HP49G Symbolic Math Applications The first size listed is the downloaded file size and the second size listed is the size on the calculator. There are 40 files totaling 1431KB in this category. Analisis Funcion 1.0 details This program performs analysis of a function of two variables, giving the extrema (maxima and minima), critical points, partial derivatives, and the Hessian. By Juan Pablo Cruz Aranibar BCOMB details Replacement for the built-in combinations function to work with larger integer inputs. By Joseph K. Horn H Berno details Calculates a binomial of the process of Bernoulli. By Benoit de Rancourt Binary Coefficients details Displays lines of Pascal's Triangle or returns the list of the coefficients of the development of (a+b)^n. By Frédéric Saverot details By Steen S. Schmidt details Calculus commands for functions with one variable. By C. Heuson H details Adds some computer algebra commands, similar to TI-89/92+ and Derive 5.02, including GRADIENT, WINTGR, and ROTAT. Includes documentation in Word and HTML format. By Jaime Fernando Meza Meza H CASADD 1.0

76. Newton's Method Tutorial Introduction to Scientific Programming Computational Problem Solving Using Mapleand C Mathematica and C Author joseph L. Zachary Online Resources Maple/C http://www.cs.utah.edu/~zachary/isp/applets/Root/Newton.html

Introduction to Scientific Programming Computational Problem Solving Using: Maple and C Mathematica and C Author: Joseph L. Zachary Online Resources: Maple/C Version Mathematica/C Version Newton's Method Tutorial In this tutorial we will explore Newton's method for finding the roots of equations, as explained in Chapter 14. Simulation We will be using a Newton's method simulator throughout this tutorial. You can start it by clicking on the following button. If you see this, then Java is not running in your browser! An applet would normally go here... Finding Roots This tutorial explores a numerical method for finding the root of an equation: Newton's method. Newton's method is discussed in Chapter 14 as a way to solve equations in one unknown that cannot be solved symbolically. For example, suppose that we would like to solve the simple equation 2 x = 5 To solve this equation using Newton's method, we first manipulate it algebraically so that one side is zero. 2 x - 5 = Finding a solution to this equation is then equivalent to finding a root of the function 2 f(x) = x - 5 This function is plotted in the simulation window.

77. PAN - Lodestars The following brief biographies highlight individuals who explicitlyor implicitly embrace Pantheism. They serve as guiding lights http://home.utm.net/pan/lodestars.html

The following brief biographies highlight individuals who explicitly or implicitly embrace Pantheism. They serve as guiding lights and inspiration for Pantheists everywhere. Rachel Carson Albert Einstein Robinson Jeffers Abner Kneeland ... Pantheist Panorama (A wide-ranging annotated list of personalities past and present) UPCOMING... John Burroughs William Wordsworth ...And Others! PAN Home Page Photo Courtesy Mount Wilson Observatory This site is a member of WebRing. To browse visit here

78. History Of Mathematicians Used In Wi4010 equations. The method is defined by Isaac Newton (16421727) and JosephRaphson (1648-1715). Iterative methods for linear equations. The http://dutita0.twi.tudelft.nl/users/vuik/a228/hist.html

History of mathematicians In this document we give some information of mathematicians which work or names are used in the course wi4010 Numerieke methoden voor grote lineaire algebraische stelsels . The course is based on the following book Matrix Computations Gene H. Golub and Charles F. Van Loan Johns Hopkins University Press, Baltimore, 1983 Theory In order to be able to measure distances with respect to vectors and matrices we have defined normed spaces. Most of the spaces used in this course are Banach spaces Stefan Banach (1892-1945) . For the vector norms different choices are made. An important class of norms are the so-called Hölder norms Otto Ludwig Hölder (1859-1937) . For the special choice p=2 we get the Euclid norm Euclid ( 295 b.c.e.- ) . With respect to matrix norms we consider norms derived from vector norms. Furthermore we mention the Frobenius norm George Ferdinand Frobenius (1849-1917) Furthemore we use spaces where an inner product is defined. Most of these spaces are Hilbert spaces David Hilbert (1862-1943) . Using the Hölder inequality we show that the Euclid norm satisfies the Cauchy-Schwarz inequality Augustin-Louis Cauchy (1789-1857) and Karl Hermann Amandus Schwarz (1843-1921) Direct methods to solve linear systems We start our description of direct methods for solving linear systems with the Gauss elimination method Carl Friedrich Gauss (1777-1855) . Thereafter we discuss the Choleski method for symmetric positive definite matrices. Furthermore we show that much work and memory can be saved in the case of band matrices. An important example of a banded system is the discretization of the Poisson equation

79. HPM³q°T²Ä¥|¨÷²Ä¤»´Á The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://math.ntnu.edu.tw/~horng/vol4no6e.htm

½Ö¬O¤û¹y ¡V ©ÔºÖ¥Í¡H ¥x®v¤j¼Æ¾Ç¬ã¨s©ÒºÓ¤h¯Z¬ã¨s¥Í ¤@¡B«e¨¥ ©Ò¿×ªº¤û¹y¡V©ÔºÖ¥Íºtºâªk (Newton-Raphson Algorithm) (Newton¡¦s Method) ¡C ­º¥ý¡A§Ú­Ì¥O s ªº®Ú¡A ¬O¦b°Ï¶¡ a,b ¤G¦¸¥i·Lªº¹ê­È¨ç¼Æ¡A¥¦¦b x=s ¸¨¦b°Ï¶¡ a,b ¡A c ¸¨¦b°Ï¶¡ a,b ¡C­Y h «Ü¤p¡A§Ú­Ì¥i¥H©¿²¤ ³o¤@¶µ¡A«h ¡C­Y s ¡A«h s ¦¹¤@µ¥¦¡§Y¬°¨D¸Ñ ¤G¡B¤å¥»¤º®e ¤û¹yªº¤èªk ¦~®L¤Ñ¡A¤û¹y (Issac Newton,1642-1727) ¡J ¬O¥i¸Ñªº¡J¨¥B¥O ¤p©ó©Ò¨Dªº®Ú¡A«h¨ú ¡A¦¹®Ú p ¬°©Ò´M¨D³Q¥[¨ì°Ó¼Æªº¼Æ ¡J ¯S§O¦a ¦b»¡©ú¬°«Ü¤p¦Ó³Q©¿²¤®É) ¬O«D±`±µªñ¯u¥¿ªº­È¡F¦]¦¹¡A§Ú¦b°Ó¼Æªº¦a¤è¼g¤U ¨¥B°²³] ¡A±N¥¦¥N¤J ¡A¦p¦P¤§«e¡A²£¥Í ¡C¦Ó¥B¦]¬° q ©Î´X¥G q ¡A§Ú¦b°Ó¼Æªº³Ì¤U­±¼g¤U -0.0054¡C ¦P¼Ë¦a¡A°²³] ¡A¦p¦P¤§«eªº¤èªk¥N´«¡AÄ~Äò¹Bºâ¨ìº¡·N¬°¤î¡C ®üÀsªº¥­¤è®Ú¤èªk ¨È¾ú¤s¤j¨½ªº¼Æ¾Ç®a®üÀs (Heron, ¡A¦b¥Lªº´X¦ó¾ÇµÛ§@¡m«×¶q¾Ç¡n (Metrica) ¤¤¦³­Ó¨D¥­¤è®ÚªºÂ²³æºâªk¡J µL¦³²z®Ú¡A§Ú­Ì¿ï¨ú±µªñ®Úªºªñ¦ü­È¡C¥Ñ©ó ¡A ±N ¡F ±o¨ì ¡F¥[¤W ¡Fµ²ªG¬° ¡C¨ú¨ä¤@¥b¡FÀò±o ¡C¦]¦¹¡A ¡C¦]¬° ¦Û­¼±o ¡F©Ò¥H®t¬° ¡C¦pªG§Ú­Ì§Æ±æ®t­È¤p©ó ¡A±N ¨ú¥N ¡A¦P¼Ëªº¤èªk¡A§Ú­Ì±N±o¨ì¤@­Ó®t­È¤£¶W¹L ªºªñ¦ü­È¡C ©ÔºÖ¥Íªº¤èªk (Joseph Raphson,1648-1715) ¦~¥N¦­´Á¡A´¿¦b¼C¾ô»P¤û¹y±µÄ²¹L¡A¨¥B¬O·í®É¤û¹y»PµÜ¥¬¥§¯÷ (Leibniz,1647-1716)

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