Алгебра (Serbian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Алгебра" in Serbian language version.

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algebra.com

ams.org

archive.org

  • Boyer 1991, "Europe in the Middle Ages" pp. 258 "In the arithmetical theorems in Euclid's Elements VII-IX, numbers had been represented by line segments to which letters had been attached, and the geometric proofs in al-Khwarizmi's Algebra made use of lettered diagrams; but all coefficients in the equations used in the Algebra are specific numbers, whether represented by numerals or written out in words. The idea of generality is implied in al-Khwarizmi's exposition, but he had no scheme for expressing algebraically the general propositions that are so readily available in geometry." Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 
  • Boyer 1991 Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 
  • Boyer 1991, стр. 178, 181. Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 
  • Boyer 1991, стр. 228. Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 
  • Boyer 1991, "The Arabic Hegemony" pp. 229 "It is not certain just what the terms al-jabr and muqabalah mean, but the usual interpretation is similar to that implied in the translation above. The word al-jabr presumably meant something like "restoration" or "completion" and seems to refer to the transposition of subtracted terms to the other side of an equation; the word muqabalah is said to refer to "reduction" or "balancing" – that is, the cancellation of like terms on opposite sides of the equation." Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 
  • Boyer 1991, "The Arabic Hegemony" pp. 230 "The six cases of equations given above exhaust all possibilities for linear and quadratic equations having positive root. So systematic and exhaustive was al-Khwarizmi's exposition that his readers must have had little difficulty in mastering the solutions." Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 
  • Boyer 1991, "The Arabic Hegemony" pp. 239 "Abu'l Wefa was a capable algebraist as well as a trigonometer... His successor al-Karkhi evidently used this translation to become an Arabic disciple of Diophantus – but without Diophantine analysis! ... In particular, to al-Karkhi is attributed the first numerical solution of equations of the form ax2n + bxn = c (only equations with positive roots were considered)," Boyer, Carl B. (1991). A History of Mathematics (Second изд.). John Wiley & Sons, Inc. ISBN 978-0-471-54397-8. 

books.google.com

doi.org

  • Victor J. Katz, Bill Barton; Barton, Bill (октобар 2007). „Stages in the History of Algebra with Implications for Teaching”. Educational Studies in Mathematics. Springer Netherlands. 66 (2): 185–201[192]. doi:10.1007/s10649-006-9023-7. 

oxforddictionaries.com

  • „algebra”. Oxford English Dictionary. Oxford University Press. Архивирано из оригинала 31. 12. 2013. г. Приступљено 10. 09. 2017. 

oxfordreference.com

  • T. F. Hoad, ур. (2003). „Algebra”. The Concise Oxford Dictionary of English Etymology. Oxford: Oxford University Press. [Претплата неопходна (помоћ)]. 

st-andrews.ac.uk

www-history.mcs.st-andrews.ac.uk

thinkquest.org

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