1. PAN - Joseph Raphson Joseph Raphson. 16481715. He died just twenty years before Joseph Raphson contributedthese valuable and now universally used words to posterity. References. http://home.utm.net/pan/raph-son.html

Joseph Raphson By Gary Suttle References . Edited by Philip McGuinness, Alan Harrison, and Richard Kearney. Dublin, Ireland: The Lilliput Press, 1997. . Personal Communication, October, 28, 2002 and November 18, 2002. Dr. Daniel relates "When I ran across Raphson's Latin use of pantheos and pantheismus in 1994, I think I was simply following up on a reference to Raphson by Berkeley (in his "Philosophical Commentaries"). Most Berkeley scholars are not as familiar with Toland as I probably am, so the appearance of the terms struck me (since I, like everyone else, had thought that Toland was the first to use them). Probably people knew of Raphson's use of the terms but had not made the connection about who used them first. At least in 1994 I was still under the impression that Toland had used the term first. When I mentioned it to (a fellow scholar), he suggested that I contact the folks at the Oxford English Dictionary to update their entry. But since the OED deals with English uses, I did not because Toland still would have been the first to use the English versions. However, as Toland notes in "Serena," Raphson seems to have come up with the concepts of pantheism and pantheist in 1697. I guess I may have been the first to have seen that, primarily in the Toland-Berkeley context (of which latter relation there is a lot more to sayand I am currently working on it for a book on Berkeley)." Hanson, Ken.

2. Raphson Joseph Raphson. Born 1648 in Middlesex, England Died 1715. JosephRaphson's life can only be deduced from a number of pointers. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Raphson.html

Joseph Raphson Born: 1648 in Middlesex, England Died: Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Joseph Raphson 's life can only be deduced from a number of pointers. No obituary of Raphson seems to have been written and we can now only piece together details about his life from records which exist such at University of Cambridge records and records of the Royal Society. It is through the University of Cambridge records that we know that Raphson attended Jesus College Cambridge and graduated with an M.A. in 1692. Rather remarkably Raphson was made a member of the Royal Society in 1691, the year before he graduated. His election to that Society was on the strength of his book Analysis aequationum universalis which was published in 1690 contained the Newton method for approximating the roots of an equation. In Method of Fluxions Newton describes the same method and, as an example, finds the root of x x - 5 = lying between 2 and 3. Although written in 1671 it was not published until 1736, so Raphson published the result nearly 50 years before Newton Raphson's relation to Newton is important but not particularly well understood. In [2] Copenhaver writes:-

3. Joseph Raphson Joseph Raphson. 16481715. The life of Joseph Raphson (1648-1715) isone that is shrouded in mystery and rather difficult to follow. http://numericalmethods.eng.usf.edu/anecdotes/raphson.html

http://numericalmethods.eng.usf.edu HOME MATRIX ALGEBRA BOOK SITE INDEX ... FAQs Joseph Raphson De spatio reali was a work which dealt with Raphson's vision of space, called 'real space'. He thought of space as being independent of the mind that perceives it. In this work he also discussed the infinite (potential and actual) and motion in space, where space is said to be infinite, but the objects in it are finite. Demonstratio de deo dealt with the issue of space and Raphson's Cabalist ideals. As an ironic twist, Newton views of space were strongly influenced by religion, the Christian religion and philosophy. Sponsored by: National Science Foundation Questions, suggestions or comments, contact kaw@eng.usf.edu

4. U. Of Western Ontario /All Locations Weldon 1988 1 Ralphs Sheila 2 Ralphson George Harvey 1879 1940 Weldon 1919 1 RalphsonJ Joseph D 1715 Or 16 See raphson joseph D 1715 Or 16 1 Ralphson http://alpha.lib.uwo.ca:5701/search/aRalph, Richard./aralph richard/7,-1,0,B/bro

AUTHOR TITLE SUBJECT MEDICAL SUBJECT WORD KEYWORD CALL NO Brescia University College Library Business Library Education Library Huron University College Library Music Library Law Library The D. B. Weldon Library Information and Media Studies Int'l Centre for Olympic Studies Electronic Resources Journals View Entire Collection Mark Nearby AUTHORS are: Year Entries Ralph William James See Ralph Bill 1953 Ralphaelson Samson 1896 See Raphaelson Samson 1896 Ralphs Michael Weldon Ralphs Sheila Ralphson George Harvey 1879 1940 Weldon Ralphson J Joseph D 1715 Or 16 See Raphson Joseph D 1715 Or 16 Ralphson Joseph See Raphson Joseph D 1715 Or 16 Ralphson Joseph D 1715 Or 16 See Raphson Joseph D 1715 Or 16 Ralphson Mr Joseph D 1715 Or 16 See Raphson Joseph D 1715 Or 16 Ralser S Ralska Jasiewiczowa M Magdalena See Ralska Jasiewiczowa Magdalena Ralska Jasiewiczowa Magdalena Taylor

5. U. Of Western Ontario /All Locations Sam 12 Raphling Samuel See Raphling Sam 1 Raphoe Dean Of John Gwynn 18271917 See Gwynn John 1827 1917 1 raphson joseph D 1715 Or 16 7 Raphson http://alpha.lib.uwo.ca:5701/search/aRapht{229}es, Alk{229}es./araphtes alkes/-5

AUTHOR TITLE SUBJECT MEDICAL SUBJECT WORD KEYWORD CALL NO Brescia University College Library Business Library Education Library Huron University College Library Music Library Law Library The D. B. Weldon Library Information and Media Studies Int'l Centre for Olympic Studies Electronic Resources Journals View Entire Collection Mark Nearby AUTHORS are: Year Entries Raphiuddina Ahameda 1941 See Ahmed Rafiuddin 1941 Raphling Sam Raphling Samuel See Raphling Sam Raphoe Dean Of John Gwynn 1827 1917 See Gwynn John 1827 1917 Raphson Joseph D 1715 Or 16 Raphson Josephus D 1715 Or 16 See Raphson Joseph D 1715 Or 16 Raphtes Alkes Rapid Assessment Program Conservation International Rapid City Historical Book Society See Rapid City Historical Society Rapid City Historical Society Weldon Rapid City S D See also South Dakota School Of Mines And Technology Rapid City S D South Dakota School Of Mines And Technology See South Dakota School Of Mines And Technology

6. References For Raphson References for joseph raphson. Articles N Bi'cani'c and KH Johnson, Who was 'raphson'?,Internat. DJ Thomas, joseph raphson, FRS, Notes and Records Roy. Soc. http://www-gap.dcs.st-and.ac.uk/~history/References/Raphson.html

References for Joseph Raphson Articles: N Bi'cani'c and K H Johnson, Who was 'Raphson'?, Internat. J. Numer. Methods Engrg. B Copenhaver, Jewish Theologies of Space in the Scientific Revolution: Henry More, Joseph Raphson, Isaac Newton and their Predecessors, Annals of Science D J Thomas, Joseph Raphson, F.R.S., Notes and Records Roy. Soc. London Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Raphson.html

7. Biography-center - Letter R Rankine, William Rudolff, Christoff Planck, Max raphson, joseph Ruffini, Paolo Plateau, joseph Rayleigh, Lord John Runge, http://www.biography-center.com/r.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish R 483 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Renyi.html R. M., Williams www.abc.net.au/btn/australians/rmwilliams.htm Rabbitt, Eddie elvispelvis.com/eddierabbitt.htm Rabi, Isidor www.pbs.org/wgbh/amex/bomb/peopleevents/pandeAMEX80.html Rabi, Isidor Isaac www.nobel.se/physics/laureates/1944/rabi-bio.html Rabiah ibn Kab, www.usc.edu/dept/MSA/history/biographies/sahaabah/bio.RABIAH_IBN_KAB.html Rabin, Yitzhak www.nobel.se/peace/laureates/1994/rabin-bio.html Rabinow, Jacob web.mit.edu/invent/www/inventorsR-Z/rabinow.html Rachmaninoff, Sergei www.island-of-freedom.com/RACH.HTM Rackham, Arthur www.bpib.com/illustrat/rackham.htm#rackhamtop www-history.mcs.st-and.ac.uk/~history/Mathematicians/Rado.html Rademacher, Hans

8. Dictionary Of Eighteenth-Century British Philosophers Ramsay, Allan painter, wrote on taste Ramsay, Andrew - wrote on metaphysics andreligion raphson, joseph - Cambridge scholar and Newtonian Rees, Abraham http://www.thoemmes.com/dictionaries/18entries.htm

Dictionary of Eighteenth-Century British Philosophers List of Entries A B C D ... P Q R S T U ... W X Y Z A Abernethy, John - Presbyterian minister, moral philosopher Adair, James MaKittrick - physician Adams, John - historian Adams, William - moral philosopher Addison, Joseph - journalist and essayist Aikin, John - surgeon, wrote on poetry Akenside, Mark - poet Alison, Archibald - clergyman, wrote on aesthetics and taste Allen, George - wrote on genius Allen, John - physician, supporter of David Hume Amory, Thomas (1691?-1788) - wrote memoirs, defended rational religion Amory, Thomas (1701-74) - dissenting clergyman Anderson, George - clergyman, opposed Hume and Kames Anderson, John - wrote on physics Anderson, Walter - historian Andrews, John - wrote on history and morality Annet, Peter - critic of revealed religion

9. Raphson Biography of joseph raphson (16481715) joseph raphson's life can only be deduced from a number of pointers. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Raphson.html

Joseph Raphson Born: 1648 in Middlesex, England Died: Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Joseph Raphson 's life can only be deduced from a number of pointers. No obituary of Raphson seems to have been written and we can now only piece together details about his life from records which exist such at University of Cambridge records and records of the Royal Society. It is through the University of Cambridge records that we know that Raphson attended Jesus College Cambridge and graduated with an M.A. in 1692. Rather remarkably Raphson was made a member of the Royal Society in 1691, the year before he graduated. His election to that Society was on the strength of his book Analysis aequationum universalis which was published in 1690 contained the Newton method for approximating the roots of an equation. In Method of Fluxions Newton describes the same method and, as an example, finds the root of x x - 5 = lying between 2 and 3. Although written in 1671 it was not published until 1736, so Raphson published the result nearly 50 years before Newton Raphson's relation to Newton is important but not particularly well understood. In [2] Copenhaver writes:-

10. Text Book Notes Joseph Raphson HISTORY Major ALL Text Book Notes Text Book Notes raphson A brief history on raphson August 27, 2002 The life of joseph raphson (16481715) is one that is shrouded in mystery and rather difficult to follow. http://numericalmethods.eng.usf.edu/anecdotes/raphson.pdf

11. Great Mathematicians of Calculus. raphson, joseph, (16481715), England, Numerical Integration.Rolle, Michel, (1652-1719), France, Rolle's Theorem. Bernoulli http://www.sali.freeservers.com/engineering/maths.html

Free Web site hosting - Freeservers.com Home Page About Me Contact Me Photo Gallery 1 Photo Gallery 2 Family Album Engineering Stuff Sports Stuff Tennis Page Favorite People Links Galore Cool Links Kerala Page About Calicut HTML Tutorial Guest Book Home Page Engg. Home CFD Engg. Books ... RECT Faculty The finest mathematicians of all time who had a profound influence in the development of pure and applied mathematics Name Period Country Field of Contribution Descartes, Rene France Invented Analytical Geometry Fermat, Pierre de France Gregory, James Scotland Numerical Interpolation Newton, Isaac England Inventor of Differential and Integral Calculus Leibnitz, Gottfried Wilhem Germany Along with Newton he is also credited for invention of Calculus Raphson, Joseph England Numerical Integration Rolle, Michel France Rolle's Theorem Bernoulli, Jakob Swiss Mathematical Probability and Elasticity L'Hôpital, Guillaume François France L'Hôpital Rule Bernoulli, Johann Swiss Development of Calculus de Moivre, Abraham France Analytic Geometry and Theory of Probability Taylor, Brook

12. Roberts-Austen, Sir William Chandler Raphael, Ralph Alexander. 01 January 1921 27 April 1998 Fellow 15/03/1962.raphson, joseph. - ? 1716 Fellow 30/11/1689. Rashleigh, Philip. http://www.royalsoc.ac.uk/library/fellows/R.htm

R Rabbitts, Terence Howard Fellow Rabinovitch, Benton Seymour Fellow Race, Robert Russell 28 November 1907 - 15 April 1984 Fellow Rackett, Thomas 1756 - 29 November 1840 Fellow Radda, Sir George Karoly Fellow Radnor, Earls of See Bouverie, Jacob Pleydell-, 2nd Earl of Radnor See Robartes, Charles Bodvill, 2nd Earl of Radnor See Robartes, John, 1st Earl of Radnor and Viscount Bodmin See Robartes, John, 4th Earl of Radnor Rado, Richard 28 April 1906 - 23 December 1989 Fellow Rae, John 30 September 1813 - 22 July 1893 Fellow Raff, Martin Charles Fellow Raffles, Sir Thomas Stamford Bingley ? 05 July 1781 - 05 July 1826 Fellow Raftery, Michael Augustine Fellow Raghunathan, Madabusi Santanam Fellow Raine, Matthew 20 May 1760 - 17 September 1811 Fellow Rainey, Reginald Charles 18 June 1913 - 18 January 1990 Fellow Rainger, Peter Fellow Rainier, John Sprat - 13 November 1822 Fellow Rainsford, Charles 03 February 1728 - 24 May 1809 Fellow Raisman, Geoffrey Fellow Raistrick, Harold 26 November 1890 - 08 March 1971 Fellow Ramachandran, Gopalasamudram Narayana 08 October 1922 - 07 April 2001 Fellow Ramage, Robert

13. History Of Astronomy: Persons (R) Math.); Very short biography (Eric Weisstein's Treasure Trove). raphson,joseph (16481715) Short biography and references (MacTutor Hist. http://www.astro.uni-bonn.de/~pbrosche/persons/pers_r.html

History of Astronomy Persons History of Astronomy: Persons (R) Deutsche Fassung Radcliffe, John (1650-1714) Very short biography The Radcliffe Observatory , Oxford Ragona, Domenico (1820-1892) Short biography and references (in Italian) Rajewsky, Boris (1893-1974) Biography , by Erwin Schopper (in German) From Physiker und Astronomen in Frankfurt Raman, Chandrasekhra Venkata (1888-1970) Biography (24 Aug 1999: disappeared) Ramsay, William (1852-1916) Short biography (Eric Weisstein's Treasure Trove) Ramsden, Jesse (1735-1800) Short biography and references (MacTutor Hist. Math.) Short biography Ramus, Peter (1515-1572) Biographical data and references Rankine, William John Macquorn (1820-1872) Short biography and references (MacTutor Hist. Math.) Very short biography (Eric Weisstein's Treasure Trove) Raphson, Joseph (1648-1715) Short biography and references (MacTutor Hist. Math.) Rasch, Johann (ca.1540-1615) Very short biography (Or see German version Rayleigh, Lord: see Strutt, John William (1842-1919) Razi: see al-Razi, Mohammad Ibn Zakariya (864-930)

14. Encyclopædia Britannica joseph raphson University of St.Andrews Biographical sketch of this English mathematicianwho published a mathematical dictionary and known for his works on http://www.britannica.com/search?query=joseph stalin&ct=igv&fuzzy=N&show=10&star

15. NA Digest Monday, June 8, 1992 Volume 92 : Issue 23 Whiteside goes on to give further background information.) joseph raphson FRS(16481715) published a variant of Newton's method in Analysis Aequationum http://www.netlib.org/na-digest-html/92/v92n23.html

NA Digest Monday, June 8, 1992 Volume 92 : Issue 23 Today's Editor: Cleve Moler The MathWorks, Inc. moler@mathworks.com Today's Topics: Re: Did Roundoff Cause Patriot Failure? Who was Raphson? (an answer) Overlaying Postscript Figures with LaTeX Fragments SISSC Table of Contents Online ... Linear Algebra and its Applications Submissions for NA Digest: Mail to na.digest@na-net.ornl.gov. Information about NA-NET: Mail to na.help@na-net.ornl.gov. Date: Tue, 2 Jun 92 12:01:53 PDT Answering the query by Ferguson in the NA Digest re Solving Least Squares Problems. This code was available from IMSL from the publication of the book (1974) up to a couple of years ago. At that time IMSL decided to quit handling distribution of ACM TOMS algorithms and miscellaneous software packages. C. Abaci, Inc., (Phone 919-832-4847) has taken on much of this distribution service. In particular the C. Abaci, Inc., for $75 plus shipping/media charge. C. Lawson clawson@math.jpl.nasa.gov Date: Wed, 3 Jun 92 10:34 MDT Subject: Re: Did Roundoff Cause Patriot Failure?

16. Www.netlib.org/na-digest/92/v92n23 structure was known to the fifteenthcentury Arabic mathematician al-Kasi. (Whitesidegoes on to give further background information.) joseph raphson FRS (1648 http://www.netlib.org/na-digest/92/v92n23

Date: Wed, 3 Jun 92 10:34 MDT Subject: Re: Did Roundoff Cause Patriot Failure? It appears that several members of the Numerical Analysis mailing list are confused. Would you please post the following message there for me? I have absolutely no connection with the government and am not a distribution point for the Patriot missile bug report. I am just a citizen letting people know how to get ahold of it. Please contact the GAO to receive your report, not me. As far as I know, there is no way to get it by email. David Keaton dmk@dmk.com From: Stephen Nash 908-582-5828 Date: Mon, 8 Jun 92 12:50 EDT Subject: SISSC Table of Contents Online Thanks to the efforts of Bernadetta DiLisi, you can now do a keyword or author search in the table of contents of the SIAM Journal on Scientific and Statistical Computation, issues 1:1 through 13:1. For example, mail netlib@research.att.com find Petzold stiff from siam yields Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations Linda Petzold Pgs. 136-148 SISSC 4:1 Mar 1983 From: George D. Byrne Date: Wed, 3 Jun 1992 15:23:44 -0500 (CDT) Subject: Two New Books Two new books are now available from Academic Press (1) "The Numerical Method of Lines Integration of Partial Equations", W. E. Schiesser, ISBN: 0-12-624130-9 (2) "Dynamic Modeling of Transport Process Systems", C. A. Silebi and W. E. Schiesser, ISBN: 0-12-643420-4 Academic Press, Inc. 1250 Sixth Avenue San Diego, CA 92101 USA From: Iain Duff

17. Entries raphson, joseph (d 1713) , mathematician, Newtonian, wrote on Space RAY, John (16271705),major naturalist natural theologian REYNOLDS (or RAINOLDS) John http://www.thoemmes.com/dictionaries/17entries.htm

Dictionary of Seventeenth-Century British Philosophers A B C D ... P Q R S T U ... W X Y Z REVISED LIST (September 1999) A ABERCROMBY, David (d 1701 or 1702). Scottish philosopher, precursor of Reid AIRAY, Christopher ALLEN, Thomas (1542-1632) , mathematician. ALLESTREE, Richard. 1619-1681, royalist divine. ASGILL, John (1659-1738), accused of blasphemy. ASTELL, Mary (1668-1731), feminist, Cartesian, critic of Locke. ASHMOLE, Elias (1717-1692) occultist, collector, founder of the Ashmolean. ATTERBURY, Francis (1662-1732). conservative theologian. ATWOOD, William (d c 1715) Whig politics. AUBREY, John. (1626-1697), biographer. top B BACON, Francis. (1561-1626), Novum Organum, Advancement of Learning, etc. BACON, Nathaniel. (1587-1657), conservative politics. BAILLIE, Robert (1599-1662) learned Scots Presbyterian. BAINBRIDGE, John (1582-1643), mathematician

18. History Of Mathematicians Used In Wi2091, Wi2092 can be solved by the Picard ( Charles Émile Picard (18561941)), or the Newton-raphsonmethod (Isaac Newton (1642-1727), and joseph raphson (1648-1715)). http://dutita0.twi.tudelft.nl/users/vuik/wi211/hist.html

History of mathematicians In this document we give some information of mathematicians which work or names are used in the course wi2091, wi2092 "Numerieke methoden voor differentiaal vergelijkingen". 1. Introduction Modern applied mathematics started in the 17 and 18 century with people like Simon Stevin (1548-1620) René Descartes (1596-1650) Isaac Newton (1642-1727) and Leonhard Euler (1707-1783) . Numerical aspects were used in analysis in a natural way; the name numerical mathematics was unknown. Numerical methods developed by Newton, Euler and later Carl Friedrich Gauss (1777-1855) play an important role in present day numerical mathematics. Additional information about Simon Stevin (in Dutch). The order symbol of Landau ( Edmund Georg Hermann Landau (1877-1938) ) is used to give a short notation of the approximation errors. 2. Interpolation In the error estimate of linear interpolation we use 'Rolle's Theorem' ( Michel Rolle (1652-1719) ). Thereafter linear interpolation is generalized to Lagrange interpolation ( Joseph-Louis Lagrange (1736-1813) ). In Hermite polynomials (

19. Mathem_abbrev Ramanujan, Srinivasa raphson, joseph Rasiowa, Helena Rees, Mina RegiomontanusRham, Georges de, Rheticus, Georg Ricci, Matteo Ricci, Michelangelo Richmond http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

20. Scholar Network  >>  Sri Lanka  >>  Professor Lucas, Joseph Rohan Since March 1970. Professor Lucas, joseph Rohan Academic and Research Publications. Acceleratedsolution of the fast decoupled Newtonraphson load flow http://www.scholar8.bizland.com/scholarsinfo/acprofile/lk/82-moratuwa/ap-6103.ht

Scholar-Net Scholar Profiles Academic Consultancy Public Service Other Abstracts Grad. Supervision Professor Lucas, Joseph Rohan Ref: LK/082/6103 Contact Information Senior Professor of Electrical Engineering Head, Department of Electrical Engineering Faculty of Engineering University of Moratuwa Katubedda, Moratuwa Sri Lanka Web site: http://www.elect.mrt.ac.lk/lucas.htm Tel: 941 650625 Fax: 941 650622 E-mail: jrlucas@iee.org Professor Lucas, Joseph Rohan Awards, Honours and Qualifications BSc Eng(Ceylon), MSc(Manch), PhD(Manch), FIEE, CEng, FIE(Sri Lanka), MCS(Sri Lanka) Professor Lucas, Joseph Rohan Academic and Research Interests Energy efficient lighting Developments in Transformers Professor Lucas, Joseph Rohan Academic and Research Experience Since March 1970 Professor Lucas, Joseph Rohan

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