De analysi per aequationes numero terminorum infinitas (or 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 or 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 is a mathematical work by Sir Isaac Newton.

Creation

Composed in 1669,Carl B. Boyer, Uta C. Merzbach 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 from ideas Newton had acquired during the period 1665–1666. Newton wrote

The explication was written to remedy apparent weaknesses in the logarithmic series [infinite 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 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 intelligencerBirch, 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 2012Niccolò Guicciardini & University of Bergamo – Isaac Newton on mathematical certainty and method, Issue 4 – 422 pages 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 1711Anders 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 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 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 geometriamDepartment of Mathematics (Dipartimento di Matematica) "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 [ apud Marcum-Michaelem Bousquet & socios, 1744 ] Retrieved 2012-01-27 originally from Ghent University digitalized on 26 October 2007

Content The exponential series, i.e., tending toward infinity, was discovered by Newton and is contained within the Analysis. The treatise contains also the sine series and cosine series and arc series, the logarithmic series and the binomial series.M. Woltermann Washington & Jefferson College Retrieved 8 February 2012

See also Newton's method

References

External links Text of De analysi (Latin) PDF version