Editing Geometric series (section)

== References ==
{{reflist|refs=

<ref name="apostol">{{cite book
 | last = Apostol | first = Tom M.
 | title = Calculus
 | publisher = [[John Wiley & Sons]]
 | year = 1967
 | isbn = 0-471-00005-1
 | edition = 2nd
 | volume = 1
 | location = USA
 | pages = 408
}}</ref>

<ref name="as">{{cite book
 | last1 = Abramowitz | first1 = M.
 | last2 = Stegun | first2 = I. A.
 | title = Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
 | edition = 9th printing
 | location = New York
 | publisher = [[Dover Publications]]
 | page = 10
 | year = 1972
}}</ref>

<ref name="bo">{{cite book
 | last1 = Bender | first1 = Carl M.
 | last2 = Orszag | first2 = Steven A.
 | title = Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory
 | publisher = Springer Science+Business Media
 | year = 1999
 | isbn = 978-0-387-98931-0
 | pages = 368–371
}}</ref>

<ref name="cz">{{cite book
 | last1 = Cvitanic | first1 = Jaksa
 | last2 = Zapatero | first2 = Fernando
 | title = Introduction to the Economics and Mathematics of Financial Markets
 | publisher = MIT Press
 | year = 2004
 | isbn = 978-0-262-03320-6
 | location = Cambridge, Massachusetts
 | pages = 35–38
}}</ref>

<ref name="df">{{cite book
 | last1 = Dummit | first1 = David S.
 | last2 = Foote | first2 = Richard M.
 | title = Abstract Algebra
 | publisher = [[John Wiley and Sons]]
 | year = 2004
 | isbn = 978-0-471-43334-7
 | edition = 3rd
 | location = Hoboken, New Jersey
 | pages = 238
}}</ref>

<ref name="heiberg">{{cite book
 | last = Heiberg | first = J. L.
 | url = http://farside.ph.utexas.edu/Books/Euclid/Elements.pdf
 | title = Euclid's Elements of Geometry
 | year = 2007
 | publisher = Richard Fitzpatrick
 | isbn = 978-0615179841
 | page = 4
 | translator = Richard Fitzpatrick
 | ref = euclid_elements_of_geometry
 | archive-url = https://web.archive.org/web/20130811002150/http://farside.ph.utexas.edu/Books/Euclid/Elements.pdf
 | archive-date = 2013-08-11
 | url-status = live
}}</ref>

<ref name="kl">{{cite book
 | last1 = Khare | first1 = Apoorva
 | last2 = Lachowska | first2 = Anne
 | year = 2015
 | title = Beautiful, Simple, Exact, Crazy: Mathematics in the Real World
 | url = https://books.google.com/books?id=E6xJCgAAQBAJ&pg=PA181
 | page = 181
 | publisher = [[Yale University Press]]
| isbn = 978-0-300-21642-4
 }}</ref>

<ref name="kulch">{{cite book
 | last = Kuich | first = W.
 | title = Handbook of Formal Languages
 | publisher = Springer
 | year = 1997
 | isbn = 978-3642638633
 | editor-last1 = Rozenberg | editor-first1 = G.
 | editor-last2 = Salomaa | editor-first2 = A.
 | volume = 1 | location = Berlin | pages = 609–677
 | chapter = 9. Semirings and formal power series: Their relevance to formal languages and automata theory
}}</ref>

<ref name="nw">{{cite book
 | last1 = Nocedal | first1 = Jorge
 | last2 = Wright | first2 = Stephen J.
 | title = Numerical Optimization
 | publisher = Springer
 | year = 1999
 | isbn = 978-0-387-98793-4
 | edition = 1st
 | location = New York
 | pages = 28–29
}}</ref>

<ref name="pm">{{cite book
 | last1 = Protter | first1 = Murray H.
 | last2 = Morrey | first2 = Charles B. Jr.
 | title = College Calculus with Analytic Geometry
 | edition = 2nd
 | location = Reading
 | publisher = [[Addison-Wesley]]
 | year = 1970
 | lccn = 76087042
 | pages = 639–640
 }}</ref>

<ref name="riddie">{{cite book 
 | last = Riddle | first = Douglas E.
 | title = Calculus and Analytic Geometry
 | year = 1974
 | publisher = Wadsworth Publishing
 | isbn = 053400301-X
 | pages = 556
 | edition = 2nd
}}</ref>

<ref name="robert">{{cite book
 | last = Robert | first = Alain M.
 | title = A Course in {{nowrap|1=<math>p</math>-}}adic Analysis
 | publisher = Springer-Verlag
 | year = 2000
 | isbn = 978-0387-98669-2
 | series = Graduate Texts in Mathematics
 | volume = 198
 | location = New York, USA
 | pages = 3–4, 12–17
}}</ref>

<ref name="sd">{{cite journal
 | last1 = Swain | first1 = Gordon
 | last2 = Dence | first2 = Thomas
 | year = 1998
 | title = Archimedes' Quadrature of the Parabola Revisited
 | url = https://www.jstor.org/stable/2691014
 | journal = [[Mathematics Magazine]]
 | volume = 71 | issue = 2 | pages = 123–130
 | doi = 10.2307/2691014
 | issn = 0025-570X
 | jstor = 2691014
}}</ref>

<ref name="spivak">{{cite book
 | last = Spivak | first = Michael
 | title = Calculus
 | url = https://archive.org/details/CalculusSpivak/page/n486
 | publisher = Publish or Perish, Inc.
 | year = 2008
 | isbn = 978-0-914098-91-1
 | edition = 4th
 | location = Houston, Texas
 | pages = 473
}}</ref>

<ref name="vpr">{{cite book
 | last1 = Varberg | first1 = Dale E.
 | last2 = Purcell | first2 = Edwin J.
 | last3 = Rigdon | first3 = Steven E.
 | title = Calculus
 | year = 2007
 | publisher = [[Pearson Prentice Hall]]
 | edition = 9th
 | page = 456
 | url = https://archive.org/details/matematika-a-purcell-calculus-9th-ed/page/456
 | isbn = 978-0131469686
}}</ref>

<ref name="wilf">{{cite book
 | last = Wilf | first = Herbert S.
 | title = Generatingfunctionology
 | publisher = Academic Press
 | year = 1990
 | isbn = 978-1-48-324857-8
 | location = San Diego, California
 | pages = 27–28, 32, 45, 49
}}</ref>

<ref name="young">{{cite book
 | last = Young | first = Cynthia Y.
 | year = 2010
 | title = Precalculus
 | isbn = 978-0-470-55665-8
 | publisher = [[John Wiley & Sons]]
 | url = https://books.google.com/books?id=9HRLAn326zEC&pg=PA966
 | page = 966
}}</ref>

}}

{{Refbegin}}
* {{cite journal |year=1998 |title=The geometric series in calculus |journal=The American Mathematical Monthly |publisher=Mathematical Association of America |volume=105 |issue=1 |pages=36–40 |doi=10.2307/2589524 |jstor=2589524 |author=Andrews, George E.}}
* Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p.&nbsp;8, 1987.
* Courant, R. and Robbins, H. "The Geometric Progression." §1.2.3 in What Is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp.&nbsp;13–14, 1996.
* {{Citation |last=Hall |first=Brian C. |title=Lie groups, Lie algebras, and representations: An elementary introduction |edition=2nd |series=Graduate Texts in Mathematics |volume=222 |publisher=Springer |year=2015 |isbn=978-3-319-13466-6}}
* {{cite book |last1=Horn |first1=Roger A. |last2=Johnson |first2=Charles R. |title=Matrix Analysis |publisher=Cambridge University Press |isbn=978-0-521-38632-6 |year=1990}}.
* James Stewart (2002). ''Calculus'', 5th ed., Brooks Cole. {{ISBN|978-0-534-39339-7}}
* Larson, Hostetler, and Edwards (2005). ''Calculus with Analytic Geometry'', 8th ed., Houghton Mifflin Company.  {{ISBN|978-0-618-50298-1}}
* [[Theoni Pappas|Pappas, T.]] "Perimeter, Area & the Infinite Series." The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, pp.&nbsp;134–135, 1989.
* {{citation |last1=Protter |first1=Murray H. |last2=Morrey |first2=Charles B. Jr. |title=College Calculus with Analytic Geometry |edition=2nd |location=Reading |publisher=[[Addison-Wesley]] |year=1970 |lccn=76087042}}
* Roger B. Nelsen (1997). ''Proofs without Words: Exercises in Visual Thinking'', The Mathematical Association of America.  {{ISBN|978-0-88385-700-7}}
{{refend}}

===History and philosophy===
* C. H. Edwards Jr. (1994).  ''The Historical Development of the Calculus'', 3rd ed., Springer.  {{ISBN|978-0-387-94313-8}}.
* [[Eli Maor]] (1991). ''To Infinity and Beyond: A Cultural History of the Infinite'', Princeton University Press.  {{ISBN|978-0-691-02511-7}}
* Morr Lazerowitz (2000).  ''The Structure of Metaphysics (International Library of Philosophy)'', Routledge. {{ISBN|978-0-415-22526-7}}

===Economics===
* Carl P. Simon and Lawrence Blume (1994).  ''Mathematics for Economists'', W. W. Norton & Company.  {{ISBN|978-0-393-95733-4}}
* Mike Rosser (2003). ''Basic Mathematics for Economists'', 2nd ed., Routledge.  {{ISBN|978-0-415-26784-7}}

===Biology===
* Edward Batschelet (1992).  ''Introduction to Mathematics for Life Scientists'', 3rd ed., Springer.  {{ISBN|978-0-387-09648-3}}
* Richard F. Burton (1998).  ''Biology by Numbers: An Encouragement to Quantitative Thinking'', Cambridge University Press.  {{ISBN|978-0-521-57698-7}}