Английская Википедия:De analysi per aequationes numero terminorum infinitas
Шаблон:Short description Шаблон:EngvarB Шаблон:Use dmy dates Шаблон:Italic title De analysi per aequationes numero terminorum infinitas (or On analysis by infinite series,[1] On Analysis by Equations with an infinite number of terms,[2] or On the Analysis by means of equations of an infinite number of terms)[3] is a mathematical work by Isaac Newton.
Creation
Composed in 1669,[4] during the mid-part of that year probably,[5] from ideas Newton had acquired during the period 1665–1666.[4] Newton wrote
Шаблон:Cquote The explication was written to remedy apparent weaknesses in the logarithmic series[6] [infinite series for <math>\log(1 + x)</math>] ,[7] that had become republished due to Nicolaus Mercator,[6][8] 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,[6][9] including John Collins a mathematics intelligencer[10] 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.[11][12] Both Cambridge University Press and Royal Society rejected the treatise from publication,[6] being instead published in London in 1711[13] by William Jones,[14] and again in 1744,[15] as Methodus fluxionum et serierum infinitarum cum eisudem applicatione ad curvarum geometriam[16] in Opuscula mathematica, philosophica et philologica by Marcum-Michaelem Bousquet at that time edited by Johann Castillioneus.[17]
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.[18]
See also
References
External links
- ↑ The Mathematical Association of America .org Шаблон:Webarchive Retrieved 3 February 2012 & newtonproject Retrieved 6 February 2012
- ↑ Nicholls State University Thibodaux, Louisiana .edu heck teaching 573 Retrieved 3 February 2012
- ↑ I. Grattan-Guinness 2005 – Landmark writings in Western mathematics 1640–1940 – 1022 pages (Google eBook) Elsevier, 20 May 2005 Retrieved 27 January 2012 Шаблон:ISBN
- ↑ 4,0 4,1 Carl B. Boyer, Uta C. Merzbach Шаблон:Cite book Шаблон:ISBN
- ↑ Endre Süli, David Francis Mayers 2003 – An introduction to numerical analysis – 433 pages Cambridge University Press, 28 Aug 2003 Retrieved 27 January 2012 Шаблон:ISBN
- ↑ 6,0 6,1 6,2 6,3 Britannica EducationalШаблон:Cite book Шаблон:ISBN
- ↑ 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
- ↑ Babson College archives-and-collections Шаблон:Webarchive Retrieved 8 February 2012
- ↑ King's College London © 2010 – 2012 King's College London Retrieved 27 January 2012
- ↑ Birch, History of Royal Society, et al. (Richard S. Westfall ed.) Rice University galileo.edu Retrieved 8 February 2012
- ↑ D.Harper – index Retrieved 8 February 2012
- ↑ Niccolò Guicciardini & University of Bergamo – Isaac Newton on mathematical certainty and method, Issue 4 – 422 pages Шаблон:ISBN 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
- ↑ 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 Шаблон:ISBN
- ↑ 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 Шаблон:ISBN
- ↑ 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
- ↑ Department of Mathematics (Dipartimento di Matematica) "Ulisse Dini" html Retrieved 27 January 2012
- ↑ ISAACI NEWTONI – Opuscula [ apud Marcum-Michaelem Bousquet & socios, 1744 ] Retrieved 2012-01-27 originally from Ghent University digitalized on 26 October 2007
- ↑ M. Woltermann Шаблон:Webarchive Washington & Jefferson College[1] Шаблон:Webarchive Retrieved 8 February 2012
