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''De analysi per aequationes numero terminorum infinitas'' (On analysis by infinite series〔The Mathematical Association of America (.org ) Retrieved 3 February 2012 & (newtonproject ) Retrieved 6 February 2012〕 | On Analysis by Equations with an infinite number of terms〔Nicholls State University Thibodaux, Louisiana ( .edu heck teaching ''573'' ) Retrieved 3 February 2012〕 | On the Analysis by means of equations of an infinite number of terms〔I. Grattan-Guinness 2005 – ''Landmark writings in Western mathematics 1640–1940'' – 1022 pages (Google eBook) (Elsevier, 20 May 2005 ) Retrieved 27 January 2012 ISBN 0-444-50871-6〕 | About completely loosening infinity by way of number equalisations limits) cf. (''aequatio'',〔Douglas Harper – (etymonline ) Retrieved 4 February 2012〕 ''analysi'' = ἀναλύω〔(LaParola ) – ''unloose (for departure)'' – (concordances. ) – ''unloosen, undo'' – (Tufts University )〕 and ''de''〔University of Notre Dame – (terminorum ) – (archives ) – (per ) – (de ) "DE ANALYSI per aequationes numero terminorum INFINITAS" (mathenexus ) Retrieved 27 January 2012 to −02-04〕〔-''analysis''- (– Aristotle ) (etymonline ) Retrieved 4 February 2012〕) is a mathematical work of Isaac Newton. ==Creation== Composed in 1669,〔Carl B. Boyer, Uta C. Merzbach ISBN 0-470-63056-6〕 during the mid-part of that year probably,〔Endre Süli, David Francis Mayers 2003 – ''An introduction to numerical analysis'' – 433 pages (Cambridge University Press, 28 Aug 2003 ) Retrieved 27 January 2012 ISBN 0-521-00794-1〕 from ideas Newton had acquired during the period 1665–1666.〔 Newton wrote The explication was written to remedy apparent weaknesses in the ''logarithmic series''〔 (series for ) ,〔B.B.Blank reviewing ''The Calculus Wars: Newton, Leibniz and the greatest mathematical clash of all time'' by J.S.Bardi ( pdf ) Retrieved 8 February 2012〕 that had become republished due to Nicolaus Mercator,〔Britannica Educational ISBN 1-61530-220-4〕〔Babson College (archives-and-collections ) Retrieved 8 February 2012〕 or through the encouragement of Isaac Barrow in 1669, to ascertain the knowing of the prior authorship of a general method of ''infinite series''. The writing was circulated amongst scholars as a manuscript in 1669,〔〔King's College London (© 2010 – 2012 King's College London ) Retrieved 27 January 2012〕 including John Collins a mathematics ''intelligencer''〔Birch, History of Royal Society, ''et al.'' (Richard S. Westfall ed.) Rice University (galileo.edu ) Retrieved 8 February 2012〕 for a group of British and continental mathematicians. His relationship with Newton in the capacity of informant proved instrumental in securing Newton recognition and contact with John Wallis at the Royal Society.〔D.Harper – (index ) Retrieved 8 February 2012〕〔Niccolò Guicciardini & University of Bergamo – Isaac Newton on mathematical certainty and method, Issue 4 – 422 pages ISBN 0-262-01317-7 Transformations: Studies in the History of Science and Technology (MIT Press, 30 Oct 2009 ) & ''John Wallis as editor of Newton's mathematical work'' (The Royal Society 2012 ) Retrieved 8 February 2012〕 Both Cambridge University Press and Royal Society rejected the treatise from publication,〔 being instead published in London in 1711〔Anders Hald 2003 – ''A history of probability and statistics and their applications before 1750'' – 586 pages ''Volume 501 of Wiley series in probability and statistics'' (Wiley-IEEE, 2003 ) Retrieved 27 January 2012 ISBN 0-471-47129-1〕 by William Jones,〔Alexander Gelbukh, Eduardo F. Morales – MICAI 2008: advances in artificial intelligence : 7th Mexican International Conference on Artificial Intelligence, Atizapán de Zaragoza, Mexico, 27–31 October 2008 : proceedings (Google eBook) – 1034 pages ''Volume 5317 of Lecture Notes in Artificial Intelligence'' (Springer, 2008 ) Retrieved 27 January 2012 ISBN 3-540-88635-4〕 and again in 1744,〔''Nicolas Bourbaki'' (Henri Cartan, Claude Chevalley, Jean Dieudonné, André Weil ''et al'') – ''Functions of a real variable: elementary theory'' – 338 pages (Springer, 2004 ) Retrieved 27 January 2012〕 as ''Methodus fluxionum et serierum infinitarum cum eisudem applicatione ad curvarum geometriam''〔Department of Mathematics (''Dipartimento di Matematico'') "Ulisse Dini" (html ) Retrieved 27 January 2012〕 in ''Opuscula mathematica, philosophica et philologica'' by Marcum-Michaelem Bousquet at that time edited by Johann Castillioneus.〔ISAACI NEWTONI – ''Opuscula'' Retrieved 2012-01-27 originally from Ghent University digitailized on the 26th of October 2007〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「De analysi per aequationes numero terminorum infinitas」の詳細全文を読む スポンサード リンク
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