Editing Mathematical analysis (section)

== References ==
{{reflist|refs=
<ref name="Stillwell_Analysis">{{cite encyclopedia |title=analysis {{!}} mathematics |url=https://www.britannica.com/topic/analysis-mathematics |access-date=2015-07-31 |encyclopedia=Encyclopædia Britannica |author-first=John Colin |author-last=Stillwell |author-link=John Colin Stillwell |date= |archive-date=2015-07-26 |archive-url=https://web.archive.org/web/20150726223522/https://www.britannica.com/topic/analysis-mathematics |url-status=live}}</ref>
<ref name="Stillwell_2004">{{cite book |author-first=John Colin |author-last=Stillwell |author-link=John Colin Stillwell |title=Mathematics and its History |edition=2nd |publisher=[[Springer Science+Business Media Inc.]] |isbn=978-0387953366 |date=2004 |chapter=Infinite Series |page=170 |quote=Infinite series were present in Greek mathematics, [...] There is no question that Zeno's paradox of the dichotomy (Section 4.1), for example, concerns the decomposition of the number 1 into the infinite series <sup>1</sup>⁄<sub>2</sub> + <sup>1</sup>⁄<sub>2</sub><sup>2</sup> + <sup>1</sup>⁄<sub>2</sub><sup>3</sup> + <sup>1</sup>⁄<sub>2</sub><sup>4</sup> + ... and that Archimedes found the area of the parabolic segment (Section 4.4) essentially by summing the infinite series 1 + <sup>1</sup>⁄<sub>4</sub> + <sup>1</sup>⁄<sub>4</sub><sup>2</sup> + <sup>1</sup>⁄<sub>4</sub><sup>3</sup> + ... = <sup>4</sup>⁄<sub>3</sub>. Both these examples are special cases of the result we express as summation of a geometric series}}</ref>
<ref name="Smith_1958">{{cite book |author-last=Smith |author-first=David Eugene |author-link=David Eugene Smith |date=1958 |title=History of Mathematics |url=https://archive.org/details/historyofmathema0002smit |url-access=registration |publisher=[[Dover Publications]] |isbn=978-0486204307}}</ref>
<ref name="Evans_1998">{{cite book |author-link=Lawrence Craig Evans |author-first=Lawrence Craig |author-last=Evans |title=Partial Differential Equations |publisher=[[American Mathematical Society]] |location=Providence |date=1998 |isbn=978-0821807729}}</ref>
<ref name="Rudin_1991">{{cite book |author-last=Rudin |author-first=Walter |author-link=Walter Rudin |title=Functional Analysis |publisher=[[McGraw-Hill Science]] |date=1991 |isbn=978-0070542365 |url=https://archive.org/details/functionalanalys0000rudi |url-access=registration}}</ref>
<ref name="Conway_1994">{{cite book |author-last=Conway |author-first=John Bligh |author-link=John Bligh Conway |title=A Course in Functional Analysis |edition=2nd |publisher=[[Springer-Verlag]] |date=1994 |isbn=978-0387972459 |url=https://books.google.com/books?id=ix4P1e6AkeIC |access-date=2016-02-11 |archive-date=2020-09-09 |archive-url=https://web.archive.org/web/20200909165657/https://books.google.com/books?id=ix4P1e6AkeIC |url-status=live}}</ref>
<ref name="Ahlfors_1979">{{cite book |author-last=Ahlfors |author-first=Lars Valerian |author-link=Lars Valerian Ahlfors |title=Complex Analysis |location=New York |publisher=[[McGraw-Hill]] |edition=3rd |date=1979 |isbn=978-0070006577 |url=https://books.google.com/books?id=2MRuus-5GGoC }}</ref>
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