Editing Complex number (section)

==References==
{{reflist|refs=
<ref name="Campbell_1911">{{cite journal |title=Cisoidal oscillations |author-link=George Ashley Campbell |author-first=George Ashley |author-last=Campbell |journal=[[Proceedings of the American Institute of Electrical Engineers]] |publisher=[[American Institute of Electrical Engineers]] |volume=XXX |issue=1–6 |date=April 1911 |doi=10.1109/PAIEE.1911.6659711 |s2cid=51647814 |pages=789–824 [Fig. 13 on p. 810] |url=https://ia800708.us.archive.org/view_archive.php?archive=/28/items/crossref-pre-1923-scholarly-works/10.1109%252Fpaiee.1910.6660428.zip&file=10.1109%252Fpaiee.1911.6659711.pdf |access-date=2023-06-24 |quote-page=789 |quote=The use of ''i'' (or Greek ''ı'') for the imaginary symbol is nearly universal in mathematical work, which is a very strong reason for retaining it in the applications of mathematics in electrical engineering. Aside, however, from the matter of established conventions and facility of reference to mathematical literature, the substitution of the symbol ''j'' is objectionable because of the vector terminology with which it has become associated in engineering literature, and also because of the confusion resulting from the divided practice of engineering writers, some using ''j'' for +''i'' and others using ''j'' for &minus;''i''.}}</ref>
<ref name="Brown-Churchill_1996">{{cite book |author-last1=Brown |author-first1=James Ward |author-last2=Churchill |author-first2=Ruel V. |title=Complex variables and applications |date=1996 |publisher=[[McGraw-Hill]] |location=New York, USA |isbn=978-0-07-912147-9 |edition=6 |page=2 |quote-page=2 |quote=In electrical engineering, the letter ''j'' is used instead of ''i''.}}</ref>
}}

{{refbegin}}

* {{cite book |last=Ahlfors |first=Lars |author-link=Lars Ahlfors |year=1979 |title=Complex analysis |edition=3rd |publisher=McGraw-Hill |url=https://archive.org/details/lars-ahlfors-complex-analysis-third-edition-mcgraw-hill-science_engineering_math-1979/page/n1/mode/2up |url-access=registration |isbn=978-0-07-000657-7}}
* {{Citation
| last1 = Andreescu
| first1 = Titu
| last2 = Andrica
| first2 = Dorin
| title = Complex Numbers from A to ... Z
| edition = Second
| publisher = Springer
| location = New York
| year = 2014
| isbn = 978-0-8176-8414-3
| doi = 10.1007/978-0-8176-8415-0
}}
* {{cite book |last=Apostol |first=Tom |author-link=Tom Apostol |year=1981 |title=Mathematical analysis |publisher=Addison-Wesley}}
* {{cite book |last1=Aufmann |first1=Richard N. |title=College Algebra and Trigonometry |last2=Barker |first2=Vernon C. |last3=Nation |first3=Richard D. |publisher=Cengage Learning |year=2007 |isbn=978-0-618-82515-8 |edition=6 |url=https://books.google.com/books?id=g5j-cT-vg_wC&pg=PA66}}
* {{cite book |ref=none |last=Conway |first=John B. |title=Functions of One Complex Variable I |year=1986 |publisher=Springer |isbn=978-0-387-90328-6}}
* {{cite book |last=Derbyshire |first=John |author-link=John Derbyshire |year=2006 |title=Unknown Quantity: A real and imaginary history of algebra |publisher=Joseph Henry Press |isbn=978-0-309-09657-7 |url=https://archive.org/details/isbn_9780309096577}}
* {{cite book |ref=none |last1=Joshi |first1=Kapil D. |title=Foundations of Discrete Mathematics |publisher=[[John Wiley & Sons]] |location=New York |isbn=978-0-470-21152-6 |year=1989}}
* {{cite book |last=Needham |first=Tristan |year=1997 |title=Visual Complex Analysis |publisher=Clarendon Press |isbn=978-0-19-853447-1}}
* {{cite book |ref=none |last=Pedoe |first=Dan |author-link=Daniel Pedoe |title=Geometry: A comprehensive course |publisher=Dover |year=1988 |isbn=978-0-486-65812-4}}
* {{cite book |last=Penrose |first=Roger |author-link=Roger Penrose |year= 2005 |title=The Road to Reality: A complete guide to the laws of the universe |publisher=Alfred A. Knopf |isbn=978-0-679-45443-4 |url=https://archive.org/details/roadtorealitycom00penr_0}}
* {{cite book |last1=Press |first1=W.H. |last2=Teukolsky |first2=S.A. |last3=Vetterling |first3=W.T. |last4=Flannery |first4=B.P. |year=2007 |title=Numerical Recipes: The art of scientific computing |edition=3rd |publisher=Cambridge University Press |location=New York |isbn=978-0-521-88068-8 |chapter=Section 5.5 Complex Arithmetic |chapter-url=http://apps.nrbook.com/empanel/index.html?pg=225 |access-date=9 August 2011 |archive-date=13 March 2020 |archive-url=https://web.archive.org/web/20200313111530/http://apps.nrbook.com/empanel/index.html?pg=225 |url-status=dead }}
* {{springer |id=c/c024140 |title=Complex number |year=2001|first=E.D. |last=Solomentsev}}
{{refend}}


===Historical references===
{{refbegin}}
* {{cite journal |last=Argand |date=1814 |title=Reflexions sur la nouvelle théorie des imaginaires, suives d'une application à la demonstration d'un theorème d'analise |journal=Annales de mathématiques pures et appliquées |volume=5 |pages=197–209 |url=https://babel.hathitrust.org/cgi/pt?id=uc1.$c126479&view=1up&seq=209 |trans-title=Reflections on the new theory of complex numbers, followed by an application to the proof of a theorem of analysis |language=fr}}
* {{cite book |ref=none |last=Bourbaki |first=Nicolas |author-link=Nicolas Bourbaki |title= Elements of the history of mathematics |chapter= Foundations of mathematics § logic: set theory |publisher= Springer |year= 1998}}
* {{cite book |ref=none |last1=Burton |first1=David M. |title=The History of Mathematics |publisher=[[McGraw-Hill]] |location=New York |edition= 3rd |isbn=978-0-07-009465-9 |year=1995}}
* {{cite journal |last=Gauss |first=C. F. |date= 1831 |title=Theoria residuorum biquadraticorum. Commentatio secunda. |trans-title=Theory of biquadratic residues. Second memoir. |url=https://babel.hathitrust.org/cgi/pt?id=mdp.39015073697180&view=1up&seq=283 |journal=Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores |volume=7 |pages=89–148 |language=la |author-link= Carl Friedrich Gauss}}
* {{cite book |ref=none |last1=Katz |first1=Victor J. |title=A History of Mathematics, Brief Version |publisher=[[Addison-Wesley]] |isbn=978-0-321-16193-2 |year=2004}}
* {{cite book |ref=none |title=An Imaginary Tale: The Story of <math>\scriptstyle\sqrt{-1}</math> |first=Paul J. |last=Nahin |publisher=Princeton University Press |isbn=978-0-691-02795-1 |year=1998}} — A gentle introduction to the history of complex numbers and the beginnings of complex analysis.
* {{cite book |first1=H. D. |last1= Ebbinghaus |first2=H. |last2= Hermes |first3=F. |last3=Hirzebruch |first4=M. |last4=Koecher |first5=K. |last5= Mainzer |first6=J. |last6= Neukirch |first7=A. |last7=Prestel |first8=R. |last8=Remmert |title=Numbers |publisher=Springer |isbn=978-0-387-97497-2 |edition=hardcover |year=1991}} — An advanced perspective on the historical development of the concept of number.
{{refend}}

{{Complex numbers}}
{{Number systems}}

{{Authority control}}

{{DEFAULTSORT:Complex Number}}
[[Category:Composition algebras]]
[[Category:Complex numbers| ]]
[[Category:Linear algebra]]