Tazama chanzo cha Aljebra

[[File:Image-Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala.jpg|thumb|[[Ukurasa]] wa [[kitabu]] ''[[al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala]]'' cha [[:en:Muhammad ibn Musa al-Khwarizmi|Al-Khwārizmī]].]]
'''Aljebra''' (kutoka katika [[Kiarabu]] "al-jabr", inamaanisha "muungano wa sehemu zilizovunjika") ni tawi mojawapo la [[hisabati]] pamoja na [[Namba|nadharia ya namba]], [[jiometri]] na uchambuzi.

Sifa maalumu ya aljebra ni kwamba inatumia [[ishara]] kutatua matatizo ya [[hisabati]], kwa mfano kupiga hesabu hata kama namba fulani ndani yake haijulikani.
 
Katika [[muundo]] wake wa kiujumla, aljebra ni somo la [[ishara]] za kihisabati na sheria za kuendesha ishara hizo; ni [[uzi]] unaounganisha karibu matawi yote ya hisabati. Inajumuisha kila kitu kutoka kwenye misingi ya kutatua milinganyo.

* Mfano mmoja ni [[mlinganyo]] ufuatao ambapo <math>x \,\!</math> ni kutofautiana:
:<math>\quad \frac{7x + 9}{4x + 2} = 2 \,</math>
<br />
:<math>7x + 9 = 8x + 4\,</math>
<br />
:<math>9 - 4 = 8x - 7x\,</math>
<br />
:<math>x = 5\,</math>

==Marejeo==
*{{Citation
 | first=Carl B.
 | last=Boyer
 | authorlink=Carl Benjamin Boyer
 | title=A History of Mathematics
 | edition=Second
 | publisher=John Wiley & Sons, Inc.
 | year=1991
 | isbn=0-471-54397-7
 }}
* Donald R. Hill, ''Islamic Science and Engineering'' (Edinburgh University Press, 1994).
* Ziauddin Sardar, Jerry Ravetz, and Borin Van Loon, ''Introducing Mathematics'' (Totem Books, 1999).
* George Gheverghese Joseph, ''The Crest of the Peacock: Non-European Roots of Mathematics'' ([[Penguin Books]], 2000).
* John J O'Connor and Edmund F Robertson, [http://www-history.mcs.st-andrews.ac.uk/Indexes/Algebra.html ''History Topics: Algebra Index'']. In ''[[MacTutor History of Mathematics archive]]'' ([[University of St Andrews]], 2005).
* I.N. Herstein: ''Topics in Algebra''. ISBN 0-471-02371-X
* R.B.J.T. Allenby: ''Rings, Fields and Groups''. ISBN 0-340-54440-6
* [[L. Euler]]: ''[http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ Elements of Algebra] {{Wayback|url=http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ |date=20110413234352 }}'', ISBN 978-1-899618-73-6
* {{cite book|last=Asimov|first=Isaac|title=Realm of Algebra|url=https://archive.org/details/realmofalgebra00asim|year=1961|publisher=Houghton Mifflin|authorlink=Isaac Asimov}}

==Viungo vya nje==
{{Lango|Hisabati}}
* [http://www.khanacademy.org/math/algebra Khan Academy: Conceptual videos and worked examples]
* [https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/origins-of-algebra Khan Academy: Origins of Algebra, free online micro lectures] {{Wayback|url=https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/origins-of-algebra |date=20130509005401 }}
* [http://algebrarules.com Algebrarules.com: An open source resource for learning the fundamentals of Algebra]
* [http://www.gresham.ac.uk/event.asp?PageId=45&EventId=620 4000 Years of Algebra] {{Wayback|url=http://www.gresham.ac.uk/event.asp?PageId=45&EventId=620 |date=20071004172100 }}, lecture by Robin Wilson, at [[Gresham College]], October 17, 2007 (available for MP3 and MP4 download, as well as a text file).
* {{cite SEP |url-id=algebra |title=Algebra |last=Pratt |first=Vaughan}}
{{Mbegu-sayansi}}

[[Jamii:Hisabati]]