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==References== {{refbegin|30em}} * {{cite book | last1 = Abramowitz | first1 = Milton | author1-link = Milton Abramowitz | last2 = Stegun | first2 = Irene A. | author2-link = Irene Stegun | title = [[Abramowitz and Stegun|Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables]] | publisher = [[Dover Publications]] | location = New York | id = Ninth printing | year = 1970 }} * {{cite book | last = Banner | first = Adrian | year = 2007 | title = The Calculus Lifesaver: All the Tools You Need to Excel at Calculus | publisher = Princeton University Press | url = https://books.google.com/books?id=OrumDwAAQBAJ | isbn = 978-0-691-13088-0 }} * {{cite book | last1 = Bilodeau | first1 = Gerald | last2 = Thie | first2 = Paul | last3 = Keough | first3 = G. E. | year = 2010 | title = An Introduction to Analysis | publisher = Jones & Bartlett Publisher | isbn = 978-0-7637-7492-9 }} * {{cite book | last1 = Boyer | first1 = C. | last2 = Merzbach | first2 = U. | author2-link = Uta Merzbach | year = 1991 | title = A History of Mathematics | url = https://archive.org/details/historyofmathema00boye | url-access = registration | publisher = John Wiley and Sons | edition = 2nd | isbn = 0-471-09763-2 }} * {{cite web | last = Bruce | first = Ian | year = 2007 | url = http://17centurymaths.com/contents/taylorscontents.html | title = Methodus Incrementorum Directa & Inversa] | website = 17centurymaths.com }} * {{cite journal | last = Dani | first = S. G. | title = Ancient Indian Mathematics – A Conspectus | journal = Resonance | volume = 17 | issue = 3 | year = 2012 | pages = 236–246 | doi = 10.1007/s12045-012-0022-y | s2cid = 120553186 }} * {{cite journal | last = Feigenbaum | first = L. | year = 1985 | title= Brook Taylor and the method of increments | journal = Archive for History of Exact Sciences | volume = 34 | issue = 1–2 | pages = 1–140 | doi = 10.1007/bf00329903 | s2cid = 122105736 }} * {{cite book | last = Feller | first = William | author-link = William Feller | title = An introduction to probability theory and its applications | volume = 2 | edition = 3rd | publisher = Wiley | orig-year = 1971 | date = 2003 | oclc = 818811840 | isbn = 9789971512989 }} * {{cite book | last = Greenberg | first = Michael | title = Advanced Engineering Mathematics | edition = 2nd | publisher = Prentice Hall | year = 1998 | isbn = 0-13-321431-1 | url-access = registration | url = https://archive.org/details/advancedengineer0000gree }} * {{cite book | last1 = Hille | first1 = Einar | author-link1 = Einar Hille | last2 = Phillips | first2 = Ralph S. | author-link2 = Ralph S. Phillips | title = Functional analysis and semi-groups | publisher = American Mathematical Society | series = AMS Colloquium Publications | volume = 31 | year = 1957 }} * {{cite journal | last = Hofmann | first = Josef Ehrenfried | year = 1939 | title = On the Discovery of the Logarithmic Series and Its Development in England up to Cotes | journal = National Mathematics Magazine | volume = 14 | issue = 1 | pages = 33–45 | doi = 10.2307/3028095 | jstor = 3028095 }} * {{cite book | last = Hörmander | first = Lars | author-link = Lars Hörmander | title = The analysis of partial differential operators | volume = 1 | orig-year = 1990 | publisher = Springer | chapter = 1. Test Functions §1.1. A review of Differential Calculus | isbn = 978-3-642-61497-2 | date = 2002 | doi = 10.1007/978-3-642-61497-2_2 | edition = 2nd | chapter-url = https://link.springer.com/chapter/10.1007/978-3-642-61497-2_2 }} * {{cite book | last = Kline | first = M. | year = 1990 | title = Mathematical Thought from Ancient to Modern Times | url = https://archive.org/details/mathematicalthou00klin | url-access = registration | location = New York | publisher = Oxford University Press | isbn = 0-19-506135-7 }} * {{cite book | last1 = Kolk | first1 = Johan A.C. | last2 = Duistermaat | first2 = J.J. | isbn = 978-0-8176-4672-1 | title = Distributions: Theory and applications | publisher = Birkhauser | year = 2010 | chapter = Taylor Expansion in Several Variables | chapter-url = https://link.springer.com/chapter/10.1007/978-0-8176-4675-2_6 | doi = 10.1007/978-0-8176-4675-2_6 }} * {{cite book | last = Lindberg | first = David | title = The Beginnings of Western Science | date = 2007 | publisher = University of Chicago Press | isbn = 978-0-226-48205-7 | edition = 2nd }} * {{cite journal | last = Malet | first = Antoni | year = 1993 | title = James Gregorie on Tangents and the "Taylor" Rule for Series Expansions | journal = Archive for History of Exact Sciences | volume = 46 | number = 2 | pages = 97–137 | jstor = 41133959 | doi = 10.1007/BF00375656 | s2cid= 120101519 }} * {{cite journal | last = Roy | first = Ranjan | year = 1990 | title = The Discovery of the Series Formula for {{mvar|π}} by Leibniz, Gregory and Nilakantha | journal = Mathematics Magazine | volume = 63 | number = 5 | pages = 291–306 | url = https://www.maa.org/sites/default/files/images/upload_library/22/Allendoerfer/1991/0025570x.di021167.02p0073q.pdf | doi = 10.1080/0025570X.1990.11977541 | access-date = 2023-02-18 | archive-date = 2023-03-14 | archive-url = https://web.archive.org/web/20230314224252/https://www.maa.org/sites/default/files/images/upload_library/22/Allendoerfer/1991/0025570x.di021167.02p0073q.pdf | url-status = dead }} * {{cite book | last = Roy | first = Ranjan | author-mask = 2 | year = 2021 | orig-year = 2011 | title = Series and Products in the Development of Mathematics | edition = 2nd | volume = 1 | publisher = Cambridge University Press }} * {{cite book | last = Rudin | first = Walter | author-link = Walter Rudin | title = Real and Complex Analysis | place = New Delhi | publisher = McGraw-Hill | year = 1980 | isbn = 0-07-099557-5 }} * {{cite book | last = Struik | first = D. J. | title = A Source Book in Mathematics 1200–1800 | publisher = Harvard University Press | date = 1969 | url = {{GBurl|XmRsZhJZGhEC|pg=PR11}} | isbn = 978-0-674-82355-6 }} * {{cite book | language = la | last = Taylor | first = Brook | title = Methodus Incrementorum Directa et Inversa | url = https://archive.org/details/UFIE003454_TO0324_PNI-2529_000000 | trans-title = Direct and Reverse Methods of Incrementation | location = London | date = 1715 }} * {{cite book | last1 = Thomas | first1 = George B. Jr. | last2 = Finney | first2 = Ross L. | title = Calculus and Analytic Geometry | edition = 9th | publisher = Addison Wesley | year = 1996 | isbn = 0-201-53174-7 }} * {{cite book | editor-last = Turnbull | editor-first = Herbert Westren | year = 1939 | title = James Gregory; Tercentenary Memorial Volume | publisher = G. Bell & Sons }} {{refend}}
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