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→Biography: Deleted wrong claim about Al-Tusi's contribution in the field of trigonometry
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[[Roshdi Rashed]] conjectured that Al-Tusi implicitly used the derivative of a function to find the maximum of a cubic function,<ref name=":0" /> but this statement has been challenged by other scholars such as [[Jan Hogendijk]]<ref>{{citation|first=J.P.|last=Hogendijk|title=Sharaf al-Din al-Tusi on the number of positive roots of cubic equations|journal=Historia Mathematica|year=1989|volume=16|pages=69-85}}</ref> and J.L. Berggren.<ref name=Berggren1990 />
[[Roshdi Rashed]] conjectured that Al-Tusi implicitly used the derivative of a function to find the maximum of a cubic function,<ref name=":0" /> but this statement has been challenged by other scholars such as [[Jan Hogendijk]]<ref>{{citation|first=J.P.|last=Hogendijk|title=Sharaf al-Din al-Tusi on the number of positive roots of cubic equations|journal=Historia Mathematica|year=1989|volume=16|pages=69-85}}</ref> and J.L. Berggren.<ref name=Berggren1990 />


He is credited as having turned [[trigonometry]] from a tool used in [[astronomy]] into a mathematical subject in its own right.<ref name=":0" /> According to Roshdi Rashed, Tusi "left his mark on the beginnings of [[algebraic geometry]]".<ref>{{Cite book| edition = 2nd| publisher = Springer| isbn = 1-4020-4960-9| others = Helaine Selin (ed.)| title = Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures| date = 2008-03-01|page=887}}</ref>
According to Roshdi Rashed, Tusi "left his mark on the beginnings of [[algebraic geometry]]".<ref>{{Cite book| edition = 2nd| publisher = Springer| isbn = 1-4020-4960-9| others = Helaine Selin (ed.)| title = Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures| date = 2008-03-01|page=887}}</ref>


==Honours==
==Honours==

Revision as of 10:16, 6 September 2017

Sharaf al-Dīn al-Muẓaffar ibn Muḥammad ibn al-Muẓaffar al-Ṭūsī
Born1135
Tus, Iran
Died1213 (aged 78)
OccupationMathematician
EraIslamic Golden Age

Sharaf al-Dīn al-Muẓaffar ibn Muḥammad ibn al-Muẓaffar al-Ṭūsī (1135 – 1213/14) was a Persian[1] mathematician and astronomer of the Islamic Golden Age (during the Middle Ages).[2]

Biography

Tusi was born in Tus, Iran.

He used what would later be known as the "Ruffini-Horner method" to numerically approximate the root of a cubic equation. He also used the concepts of maxima and minima of curves in order to solve cubic equations which may not have positive solutions.[3] He understood the importance of the discriminant of the cubic equation to find algebraic solutions to certain types of cubic equations.[4]

Roshdi Rashed conjectured that Al-Tusi implicitly used the derivative of a function to find the maximum of a cubic function,[3] but this statement has been challenged by other scholars such as Jan Hogendijk[5] and J.L. Berggren.[4]

According to Roshdi Rashed, Tusi "left his mark on the beginnings of algebraic geometry".[6]

Honours

The main-belt asteroid 7058 Al-Ṭūsī, discovered by Henry E. Holt at Palomar Observatory in 1990, was named in his honor.[2]

Notes

  1. ^ Selin, Hrsg. H. (2006). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (2., ed.). Berlin: Springer Netherland. p. 247. ISBN 978-1-4020-4559-2. {{cite book}}: |access-date= requires |url= (help)CS1 maint: extra punctuation (link)
  2. ^ a b "7058 Al-Tusi (1990 SN1)". Minor Planet Center. Retrieved 21 November 2016.
  3. ^ a b O'Connor, John J.; Robertson, Edmund F., "Sharaf al-Din al-Muzaffar al-Tusi", MacTutor History of Mathematics Archive, University of St Andrews
  4. ^ a b Berggren, J. L. (1990), "Innovation and Tradition in Sharaf al-Dīn al-Ṭūsī's Muʿādalāt", Journal of the American Oriental Society, 110 (2): 304–309, doi:10.2307/604533, JSTOR 604533
  5. ^ Hogendijk, J.P. (1989), "Sharaf al-Din al-Tusi on the number of positive roots of cubic equations", Historia Mathematica, 16: 69–85
  6. ^ Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Helaine Selin (ed.) (2nd ed.). Springer. 2008-03-01. p. 887. ISBN 1-4020-4960-9.{{cite book}}: CS1 maint: others (link)

References

Template:Scholars of Khorasan

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