Namba changamano : Tofauti kati ya masahihisho
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Ukurasa ulianzishwa kwa kuandika ''''Namba changamano''' ni aina ya namba ambazo zina sehemu mbili, ya kwanza ni namba halisi, na ya pili ni namba inayofikiriwa tu. {{mbegu-hisabati...' |
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'''Namba changamano''' ni aina ya [[namba]] ambazo zina sehemu [[mbili]], ya kwanza ni [[namba halisi]], na ya pili ni namba |
'''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. |
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==Tanbihi== |
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{{Reflist}} |
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==Marejeo== |
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===Hisabati=== |
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* {{Citation |last=Ahlfors |first=Lars |authorlink=Lars Ahlfors |title=Complex analysis |publisher=McGraw-Hill |year=1979 |edition=3rd |isbn=978-0-07-000657-7}} |
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* {{Citation |last=Conway |first=John B. |title=Functions of One Complex Variable I |year=1986 |publisher=Springer |isbn=0-387-90328-3}} |
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* {{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}} |
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* {{Citation |last=Pedoe |first=Dan |authorlink=Dan Pedoe |title=Geometry: A comprehensive course |publisher=Dover |year=1988 |isbn=0-486-65812-0}} |
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* {{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}} |
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* {{springer|id=c/c024140|title=Complex number|year=2001|first=E.D.|last=Solomentsev}} |
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===Historia=== |
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* {{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}} |
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* {{Citation |last1=Katz |first1=Victor J. |title=A History of Mathematics, Brief Version |publisher=[[Addison-Wesley]] |isbn=978-0-321-16193-2 |year=2004}} |
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* {{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}} |
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*: A gentle introduction to the history of complex numbers and the beginnings of complex analysis. |
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* {{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}} |
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*: An advanced perspective on the historical development of the concept of number. |
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===Mengineyo=== |
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* ''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. |
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* ''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. |
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* ''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. |
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*Conway, John B., ''Functions of One Complex Variable I'' (Graduate Texts in Mathematics), Springer; 2 edition (12 September 2005). {{isbn|0-387-90328-3}}. |
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==Viungo vya nje== |
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{{wikiversity|Complex Numbers}} |
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{{wikibooks|Calculus/Complex numbers}} |
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* [https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/the-complex-numbers/v/complex-number-intro Introduction to Complex Numbers from Khan Academy] |
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* [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. |
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* [http://mathforum.org/johnandbetty/ John and Betty's Journey Through Complex Numbers] |
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* [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]]. |
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{{mbegu-hisabati}} |
{{mbegu-hisabati}} |
Pitio la 11:47, 10 Oktoba 2018
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.
Tanbihi
Marejeo
Hisabati
- Ahlfors, Lars (1979), Complex analysis (toleo la 3rd), McGraw-Hill, ISBN 978-0-07-000657-7
- Conway, John B. (1986), Functions of One Complex Variable I, Springer, ISBN 0-387-90328-3
- Joshi, Kapil D. (1989), Foundations of Discrete Mathematics, New York: John Wiley & Sons, ISBN 978-0-470-21152-6
- Pedoe, Dan (1988), Geometry: A comprehensive course, Dover, ISBN 0-486-65812-0
- Press, WH; Teukolsky, SA; Vetterling, WT; Flannery, BP (2007), "Section 5.5 Complex Arithmetic", Numerical Recipes: The Art of Scientific Computing (toleo la 3rd), New York: Cambridge University Press, ISBN 978-0-521-88068-8
- Kigezo:Springer
Historia
- Burton, David M. (1995), The History of Mathematics (toleo la 3rd), New York: McGraw-Hill, ISBN 978-0-07-009465-9
- Katz, Victor J. (2004), A History of Mathematics, Brief Version, Addison-Wesley, ISBN 978-0-321-16193-2
- Nahin, Paul J. (1998), An Imaginary Tale: The Story of , Princeton University Press, ISBN 0-691-02795-1
- A gentle introduction to the history of complex numbers and the beginnings of complex analysis.
- H. D. Ebbinghaus; H. Hermes; F. Hirzebruch; M. Koecher; K. Mainzer; J. Neukirch; A. Prestel; R. Remmert (1991), Numbers (toleo la hardcover), Springer, ISBN 0-387-97497-0
- 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; Kigezo:Isbn. 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; Kigezo:Isbn (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; Kigezo:Isbn (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). Kigezo:Isbn.
Viungo vya nje
Wikiversity has learning materials about Complex Numbers |
Wikibooks has a book on the topic of |
- Introduction to Complex Numbers from Khan Academy
- Euler's Investigations on the Roots of Equations at Convergence. MAA Mathematical Sciences Digital Library.
- John and Betty's Journey Through Complex Numbers
- Dimensions: a math film. Chapter 5 presents an introduction to complex arithmetic and stereographic projection. Chapter 6 discusses transformations of the complex plane, Julia sets, and the Mandelbrot set.
Makala hii kuhusu mambo ya hisabati bado ni mbegu. Je, unajua kitu kuhusu Namba changamano kama historia yake au mahusiano yake na mada nyingine? Labda unaona habari katika Wikipedia ya Kiingereza au lugha nyingine zinazofaa kutafsiriwa? Basi unaweza kuisaidia Wikipedia kwa kuihariri na kuongeza habari. |