Tazama chanzo cha Namba changamano

'''Namba changamano''' (kwa [[Kiingereza]]: [[:en:complex number]]) ni aina ya [[namba]] ambazo zina sehemu [[mbili]], ya kwanza ni [[namba halisi]], na ya pili ni [[namba ya kufikirika]] tu.

Namba changamano zinatumika katika [[Tawi|matawi]] yote ya [[hisabati]], mengi ya [[fizikia]], pia ya [[uhandisi]], hasa wa [[Elektroni|kielektroni]]. 

==Tanbihi==
{{Reflist}}

==Marejeo==
===Hisabati===
* {{Citation |last=Ahlfors |first=Lars |authorlink=Lars Ahlfors |title=Complex analysis |publisher=McGraw-Hill |year=1979 |edition=3rd |isbn=978-0-07-000657-7}}
* {{Citation |last=Conway |first=John B. |title=Functions of One Complex Variable I |year=1986 |publisher=Springer |isbn=0-387-90328-3}}
* {{Citation |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}}
* {{Citation |last=Pedoe |first=Dan |authorlink=Dan Pedoe |title=Geometry: A comprehensive course |publisher=Dover |year=1988 |isbn=0-486-65812-0}}
* {{Citation |last1=Press |first1=WH |last2=Teukolsky |first2=SA |last3=Vetterling |first3=WT |last4=Flannery |first4=BP |year=2007 |title=Numerical Recipes: The Art of Scientific Computing |edition=3rd |publisher=Cambridge University Press |publication-place=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=2018-10-10 |archive-date=2020-03-13 |archive-url=https://web.archive.org/web/20200313111530/http://apps.nrbook.com/empanel/index.html?pg=225 |dead-url=yes }}

===Historia===
* {{Citation |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}}
* {{Citation |last1=Katz |first1=Victor J. |title=A History of Mathematics, Brief Version |publisher=[[Addison-Wesley]] |isbn=978-0-321-16193-2 |year=2004}}
* {{Citation |title=An Imaginary Tale: The Story of <math>\scriptstyle\sqrt{-1}</math> |first=Paul J. |last=Nahin |publisher=Princeton University Press |isbn=0-691-02795-1 |year=1998}}
*: A gentle introduction to the history of complex numbers and the beginnings of complex analysis.
* {{Citation |author1=H. D. Ebbinghaus |author2=H. Hermes |author3=F. Hirzebruch |author4=M. Koecher |author5=K. Mainzer |author6=J. Neukirch |author7=A. Prestel |author8=R. Remmert |title=Numbers |publisher=Springer |isbn=0-387-97497-0 |edition=hardcover |year=1991}}
*: An advanced perspective on the historical development of the concept of number.

===Mengineyo===
* ''The Road to Reality: A Complete Guide to the Laws of the Universe'', by [[Roger Penrose]]; Alfred A. Knopf, 2005; {{isbn|0-679-45443-8}}. Chapters 4–7 in particular deal extensively (and enthusiastically) with complex numbers.
* ''Unknown Quantity: A Real and Imaginary History of Algebra'', by John Derbyshire; Joseph Henry Press; {{isbn|0-309-09657-X}} (hardcover 2006).  A very readable history with emphasis on solving polynomial equations and the structures of modern algebra.
* ''Visual Complex Analysis'', by [[Tristan Needham]]; Clarendon Press; {{isbn|0-19-853447-7}} (hardcover, 1997). History of complex numbers and complex analysis with compelling and useful visual interpretations.
*Conway, John B., ''Functions of One Complex Variable I'' (Graduate Texts in Mathematics), Springer; 2 edition (12 September 2005). {{isbn|0-387-90328-3}}.

==Viungo vya nje==
{{wikiversity|Complex Numbers}}
{{wikibooks|Calculus/Complex numbers}}
* [https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/the-complex-numbers/v/complex-number-intro Introduction to Complex Numbers from Khan Academy] {{Wayback|url=https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/the-complex-numbers/v/complex-number-intro |date=20171114032951 }}
* [http://www.maa.org/press/periodicals/convergence/eulers-investigations-on-the-roots-of-equations Euler's Investigations on the Roots of Equations] at Convergence. MAA Mathematical Sciences Digital Library.
* [http://mathforum.org/johnandbetty/ John and Betty's Journey Through Complex Numbers]
* [http://www.dimensions-math.org/Dim_regarder_E.htm Dimensions: a math film.] Chapter 5 presents an introduction to complex arithmetic and [[stereographic projection]]. Chapter 6 discusses transformations of the complex plane, [[Julia set]]s, and the [[Mandelbrot set]].

{{mbegu-hisabati}}

[[Jamii:Namba]]