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{{Redirect|Ibn al-Banna|the 11th-century author and diarist|Abu Ali ibn al-Banna}}
{{short description|Moroccan mathematician and astronomer}}
{{short description|Moroccan mathematician and astronomer}}
{{Redirect|Ibn al-Banna|the 11th-century author and diarist|Abu Ali ibn al-Banna}}
{{Infobox scholar
{{Infobox scholar
| image =
| image =
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| name = Ibn al‐Bannāʾ al‐Marrākushī
| name = Ibn al‐Bannāʾ al‐Marrākushī
| birth_date = 29 or 30 December 1256
| birth_date = 29 or 30 December 1256
| birth_place = [[Marrakech]], Morocco{{Sfn|Calvo|2008|p=1088}}{{Sfn|Samsó|2007|p=551}}
| birth_place = [[Marrakech]], [[Almohad Caliphate]]{{Sfn|Calvo|2008|p=1088}}{{Sfn|Samsó|2007|p=551}}
| death_date = 31 July 1321
| death_date = 31 July 1321
| death_place = [[Marrakech]], Morocco
| death_place = Marrakech, [[Marinid Sultanate]]
| era = [[Islamic Golden Age]]
| era = [[Islamic Golden Age]]
| school_tradition =
| school_tradition =
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}}
}}


'''Ibn al‐Bannāʾ al‐Marrākushī''' ({{lang-ar|ابن البناء المراكشي}}), full name: '''Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi''' ({{Lang-ar|أبو العباس أحمد بن محمد بن عثمان الأزدي}}) (29 December 1256 – 31 July 1321), was a Moroccan polymath who was active as a [[Islamic mathematician|mathematician]], [[Islamic astronomer|astronomer]], [[Islamic scholar]], [[Sufi]] and [[Islamic astrologer|astrologer]].{{Sfn|Oaks|2017|p=}}{{Sfn|Suter|Bencheneb|1986|p=731}}
'''Ibn al‐Bannāʾ al‐Marrākushī''' ({{langx|ar|ابن البناء المراكشي}}), full name: '''Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi''' ({{Langx|ar|أبو العباس أحمد بن محمد بن عثمان الأزدي}}) (29 December 1256 – 31 July 1321), was an Arab Muslim polymath who was active as a [[Islamic mathematician|mathematician]], [[Islamic astronomer|astronomer]], [[Islamic scholar]], [[Sufi]] and [[Islamic astrologer|astrologer]].{{Sfn|Oaks|2017|p=}}{{Sfn|Suter|Bencheneb|1986|p=731}}


==Biography==
==Biography==
Ahmad ibn Muhammad ibn Uthman was born in the ''Qa'at Ibn Nahid'' Quarter of Marrakesh on 29 or 30 December 1256.{{Sfn|Samsó|2007|p=551}}{{Sfn|Oaks|2017|p=}} His ''[[Nisba (onomastics)|nisba]]'' al-Marrakushi is in relation to his birth and death in his hometown [[Marrakesh]]. His father was a mason thus the ''[[Kunya (Arabic)|kunya]]'' Ibn al-Banna' (lit. the son of the mason).{{Sfn|Cherkaoui|1992|p=1470}}
Ahmad ibn Muhammad ibn Uthman was born in the ''Qa'at Ibn Nahid'' Quarter of Marrakesh on 29 or 30 December 1256.{{Sfn|Samsó|2007|p=551}}{{Sfn|Oaks|2017|p=}} His ''[[Nisba (onomastics)|nisba]]'' al-Marrakushi is in relation to his birth and death in his hometown [[Marrakesh]] and al azdi means he was from the big arab tribe Azd. His father was a mason thus the ''[[Kunya (Arabic)|kunya]]'' Ibn al-Banna' (lit. the son of the mason).{{Sfn|Cherkaoui|1992|p=1470}}


Ibn al-Banna' studied a variety of subjects under at least 17 masters: Quran under the ''[[Qāriʾ|Qari's]]'' Muhammad ibn al-bashir and shaykh al-Ahdab. ''[[Hadith|ʻilm al-ḥadīth]]'' under ''qadi al-Jama'a'' (chief judge) of Fez َAbu al-Hajjaj Yusuf ibn Ahmad ibn Hakam al-Tujibi, Abu Yusuf Ya'qub ibn Abd al-Rahman al-Jazuli and Abu abd allah ibn. ''[[Fiqh]] and [[Principles of Islamic jurisprudence|Usul al-Fiqh]]'' under Abu Imran Musa ibn Abi Ali az-Zanati al-Marrakushi and Abu al-Hasan Muhammad ibn Abd al-Rahman al-Maghili who taugh him al-Juwayni's ''[[A Guide to Conclusive Proofs for the Principles of Belief|Kitab al-Irsahd]]''. He also studied Arabic grammar under Abu Ishaq Ibrahim ibn Abd as-Salam as-Sanhaji and Muhammad ibn Ali ibn Yahya as-sharif al-marrakushi who also taugh him [[Euclid's Elements|Euclid’s ''Elements'']]. ''[[Arabic prosody|ʿArūḍ]]'' and ''[[Islamic inheritance jurisprudence|ʿilm al-farāʾiḍ]]'' under Abu Bakr Muhammad ibn Idris ibn Malik al-Quda'i al-Qallusi. Arithmetic under Muhammad ibn Ali, known as Ibn Ḥajala. Ibn al-Banna' also studied astronomy under Abu 'Abdallah Muhammad ibn Makhluf as-Sijilmassi. He also studied medecine under al-Mirrīkh.{{Sfn|Cherkaoui|1992|p=1470-1471}}{{Sfn|Searns|2012|pp=116-117}}
Ibn al-Banna' studied a variety of subjects under at least 17 masters: Quran under the ''[[Qāriʾ|Qari's]]'' Muhammad ibn al-bashir and shaykh al-Ahdab. ''[[Hadith|ʻilm al-ḥadīth]]'' under ''qadi al-Jama'a'' (chief judge) of Fez َAbu al-Hajjaj Yusuf ibn Ahmad ibn Hakam al-Tujibi, Abu Yusuf Ya'qub ibn Abd al-Rahman al-Jazuli and Abu abd allah ibn. ''[[Fiqh]] and [[Principles of Islamic jurisprudence|Usul al-Fiqh]]'' under Abu Imran Musa ibn Abi Ali az-Zanati al-Marrakushi and Abu al-Hasan Muhammad ibn Abd al-Rahman al-Maghili who taugh him al-Juwayni's ''[[A Guide to Conclusive Proofs for the Principles of Belief|Kitab al-Irsahd]]''. He also studied Arabic grammar under Abu Ishaq Ibrahim ibn Abd as-Salam as-Sanhaji and Muhammad ibn Ali ibn Yahya as-sharif al-marrakushi who also taugh him [[Euclid's Elements|Euclid’s ''Elements'']]. ''[[Arabic prosody|ʿArūḍ]]'' and ''[[Islamic inheritance jurisprudence|ʿilm al-farāʾiḍ]]'' under Abu Bakr Muhammad ibn Idris ibn Malik al-Quda'i al-Qallusi. Arithmetic under Muhammad ibn Ali, known as Ibn Ḥajala. Ibn al-Banna' also studied astronomy under Abu 'Abdallah Muhammad ibn Makhluf as-Sijilmassi. He also studied medecine under al-Mirrīkh.{{Sfn|Cherkaoui|1992|p=1470-1471}}{{Sfn|Stearns|2012|pp=116-117}}


He is known to have attached himself to the founder of the Hazmiriyya ''zawiya'' and sufi saint of [[Aghmat]], Abu Zayd Abd al-Rahman al-Hazmiri, who guided his arithmetic skills toward divinational predictions.{{Sfn|Suter|Bencheneb|1986|p=731}}
He is known to have attached himself to the founder of the Hazmiriyya ''zawiya'' and sufi saint of [[Aghmat]], Abu Zayd Abd al-Rahman al-Hazmiri, who guided his arithmetic skills toward divinational predictions.{{Sfn|Suter|Bencheneb|1986|p=731}}


Ibn al-Banna' taught classes in Marrakesh and some of his students were: Abd al-Aziz ibn Ali al-Hawari al-Misrati (d.1344), Abd al-Rahman ibn Sulayman al-Laja'i (d. 1369) and Muhammad ibn Ali ibn Ibrahim al-Abli (d. 1356).{{Sfn|Searns|2012|p=117}}
Ibn al-Banna' taught classes in Marrakesh and some of his students were: Abd al-Aziz ibn Ali al-Hawari al-Misrati (d.1344), Abd al-Rahman ibn Sulayman al-Laja'i (d. 1369) and Muhammad ibn Ali ibn Ibrahim al-Abli (d. 1356).{{Sfn|Stearns|2012|p=117}}


He died at Marrakesh on 31 July 1321.{{Sfn|Suter|Bencheneb|1986|p=731}}
He died at Marrakesh on 31 July 1321.{{Sfn|Suter|Bencheneb|1986|p=731}}


==Works==
==Works==
Ibn al-Banna' wrote over 100 works encompassing such varied topics as Astronomy, Astrology, the division of inheritances, Linguistics, Logic, Mathematics, Meteorology, Rhetoric, ''[[Tafsir]]'', ''Usūl al-Dīn'' and ''[[Principles of Islamic jurisprudence|Usul al-Fiqh]]''.{{Sfn|Searns|2012|p=117}} One of his works, called ''Talkhīṣ ʿamal al-ḥisāb'' ({{lang-ar|تلخيص أعمال الحساب}}) (Summary of arithmetical operations), includes topics such as fractions and sums of squares and cubes. Another, called ''Tanbīh al-Albāb'',<ref>A Djebbar: Mathematics in medieval Maghreb; AMUCHMA-Newsletter 15; Universidade Pedagógico (UP), Maputo (Mozambique), 15.9.1995.</ref> covers topics related to:
Ibn al-Banna' wrote over 100 works encompassing such varied topics as Astronomy, Astrology, the division of inheritances, Linguistics, Logic, Mathematics, Meteorology, Rhetoric, ''[[Tafsir]]'', ''Usūl al-Dīn'' and ''[[Principles of Islamic jurisprudence|Usul al-Fiqh]]''.{{Sfn|Stearns|2012|p=117}} One of his works, called ''Talkhīṣ ʿamal al-ḥisāb'' ({{langx|ar|تلخيص أعمال الحساب}}) (Summary of arithmetical operations), includes topics such as fractions and sums of squares and cubes. Another, called ''Tanbīh al-Albāb'',<ref>A Djebbar: Mathematics in medieval Maghreb; AMUCHMA-Newsletter 15; Universidade Pedagógico (UP), Maputo (Mozambique), 15.9.1995.</ref> covers topics related to:
* calculations regarding the drop in irrigation canal levels,
* calculations regarding the drop in irrigation canal levels,
* arithmetical explanation of the [[Muslim]] laws of inheritance
* arithmetical explanation of the [[Muslim]] laws of inheritance
Line 42: Line 42:
He also wrote an introduction to [[Euclid's Elements]].{{Sfn|Sarton|1931|p=998}}
He also wrote an introduction to [[Euclid's Elements]].{{Sfn|Sarton|1931|p=998}}


He also wrote ''Rafʿ al-Ḥijāb 'an Wujuh A'mal al-Hisab'' (Lifting the Veil from Faces of the Workings of Calculations) which covered topics such as computing [[square roots]] of a number and the theory of [[continued fractions]].{{Sfn|Sarton|1931|p=998}}
He also wrote ''Rafʿ al-Ḥijāb 'an Wujuh A'mal al-Hisab'' (Lifting the Veil from Faces of the Workings of Calculations) which covered topics such as computing [[square roots]] of a number and the theory of [[simple continued fractions]].{{Sfn|Sarton|1931|p=998}}


==See also==
==See also==
*[[List of Arab scientists and scholars]]
*[[Ibn Ghazi al-Miknasi]]
*[[Ibn Ghazi al-Miknasi]]


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* {{Cite encyclopedia |last=Calvo |first=Emilia |url=https://books.google.com/books?id=kt9DIY1g9HYC |year=2008 |title=Ibn al-Banna' |editor-last=Selin |editor-first=Helaine |editor-link=Helaine Selin |encyclopedia=[[Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures]] |publisher=Springer Science & Business Media |isbn=978-1-4020-4559-2 |edition=2nd |language=en}}
* {{Cite encyclopedia |last=Calvo |first=Emilia |url=https://books.google.com/books?id=kt9DIY1g9HYC |year=2008 |title=Ibn al-Banna' |editor-last=Selin |editor-first=Helaine |editor-link=Helaine Selin |encyclopedia=[[Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures]] |publisher=Springer Science & Business Media |isbn=978-1-4020-4559-2 |edition=2nd |language=en}}
* {{Cite encyclopedia |title=Ibn al-Banna', Ahmad ibn Muhammad ibn Uthman |year=1992 |encyclopedia=[[Ma'lamat al-Maghrib]] |first=Ahmed Iqbal |author-link= |last=Cherkaoui |volume=5 |editor1-last=Toufiq |editor1-first=Ahmed |editor2-last=Hajji |editor2-first=Mohamed |publisher=al-Jamī‘a al-Maghribiyya li-l-Ta’līf wa-l-Tarjama wa-l-Nashr |editor-link=Ahmed Toufiq |language=ar |editor2-link=Mohamed Hajji}}
* {{Cite encyclopedia |title=Ibn al-Banna', Ahmad ibn Muhammad ibn Uthman |year=1992 |encyclopedia=[[Ma'lamat al-Maghrib]] |first=Ahmed Iqbal |author-link= |last=Cherkaoui |volume=5 |editor1-last=Toufiq |editor1-first=Ahmed |editor2-last=Hajji |editor2-first=Mohamed |publisher=al-Jamī‘a al-Maghribiyya li-l-Ta’līf wa-l-Tarjama wa-l-Nashr |editor-link=Ahmed Toufiq |language=ar |editor2-link=Mohamed Hajji}}
* {{cite encyclopedia |year=2017 |title=Ibn al- Bannāʾ al- Marrākushī |encyclopedia=[[Encyclopaedia of Islam]] |publisher=E. J. Brill |url=https://referenceworks.brillonline.com/entries/encyclopaedia-of-islam-3/ibn-al-banna-al-marrakushi-COM_30731 |last=Oaks |first=Jeffrey |editor1-last=Fleet |editor1-first=Kate |edition=3rd |editor2-link=Gudrun Krämer |editor5-first=Everett |editor5-last=Rowson |editor4-first=John |editor4-last=Nawas |editor3-first=Denis |editor3-last=Matringe |editor2-first=Gudrun |editor2-last=Krämer}}
* {{cite encyclopedia |year=2017 |title=Ibn al- Bannāʾ al- Marrākushī |encyclopedia=[[Encyclopaedia of Islam]] |publisher=E. J. Brill |url=https://referenceworks.brillonline.com/entries/encyclopaedia-of-islam-3/ibn-al-banna-al-marrakushi-COM_30731 |last=Oaks |first=Jeffrey |editor1-last=Fleet |editor1-first=Kate |edition=3rd |editor2-link=Gudrun Krämer |editor5-link=Everett K. Rowson |editor5-first=Everett |editor5-last=Rowson |editor4-first=John |editor4-last=Nawas |editor3-first=Denis |editor3-last=Matringe |editor2-first=Gudrun |editor2-last=Krämer}}
* {{cite encyclopedia |editor=Thomas Hockey |display-editors=etal |last=Samsó |first=Julio |title=Ibn al‐Bannāʾ: Abū al‐ʿAbbās Aḥmad ibn Muḥammad ibn ʿUthmān al‐Azdī al‐Marrākushī |encyclopedia=[[The Biographical Encyclopedia of Astronomers]] |publisher=Springer |date=2007 |location=New York |pages=551-552 |url=https://islamsci.mcgill.ca/RASI/BEA/Ibn_al-Banna%27_BEA.htm |isbn=978-0-387-31022-0}}
* {{cite encyclopedia |editor=Thomas Hockey |display-editors=etal |last=Samsó |first=Julio |title=Ibn al-Bannāʾ: Abū al-ʿAbbās Aḥmad ibn Muḥammad ibn ʿUthmān al-Azdī al-Marrākushī |encyclopedia=[[The Biographical Encyclopedia of Astronomers]] |publisher=Springer |date=2007 |location=New York |pages=551–552 |url=https://islamsci.mcgill.ca/RASI/BEA/Ibn_al-Banna%27_BEA.htm |isbn=978-0-387-31022-0}}
* {{Cite book |last=Sarton |first=George |url= |title=Introduction to the History of Science |publisher=Carnegie Institution of Washington |year=1931 |volume=II. From Rabbi Ben Ezra to Roger Bacon |language=en |author-link=George Sarton}}
* {{Cite book |last=Sarton |first=George |url= |title=Introduction to the History of Science |publisher=Carnegie Institution of Washington |year=1931 |volume=II. From Rabbi Ben Ezra to Roger Bacon |language=en |author-link=George Sarton}}
* {{Cite book |last=Stearns |first=Justin |url=https://books.google.com/books?id=39JMAgAAQBAJ |title=Dictionary of African Biography |date= |publisher=OUP USA |year=2012 |isbn=978-0-19-538207-5 |editor-last=Akyeampong |editor-first=Emmanuel Kwaku |volume=4 |language=en |editor-last2=Gates Jr. |editor-first2=Henry Louis}}
* {{Cite book |last=Stearns |first=Justin |url=https://books.google.com/books?id=39JMAgAAQBAJ |title=Dictionary of African Biography |publisher=OUP USA |year=2012 |isbn=978-0-19-538207-5 |editor-last=Akyeampong |editor-first=Emmanuel Kwaku |editor-link=Emmanuel K. Akyeampong |volume=4 |language=en |author-link=Justin K. Stearns |editor-last2=Gates Jr. |editor-first2=Henry Louis |editor-link2=Henry Louis Gates Jr.}}
* {{Cite encyclopedia |year=1986 |title=Ibn al- Bannāʾ al- Marrākus̲h̲ī |encyclopedia=Encyclopaedia of Islam |publisher=[[Brill Publishers|E. J. BRILL]] |url=https://referenceworks.brillonline.com/entries/encyclopaedia-of-islam-2/ibn-al-banna-al-marrakushi-SIM_3104 |last=Suter |first=H. |author-link=Heinrich Suter |orig-year=1971 |editor1-last=Lewis |editor1-first=B. |publication-place=Leiden, Netherlands |edition=2nd |volume=III |isbn=9004081186 |last2=Bencheneb |first2=M. |editor1-link=Bernard Lewis |editor2-last=Ménage |editor2-first=V. L. |editor2-link=Victor Louis Ménage |editor3-last=Pellat |editor3-first=C. |editor3-link=Charles Pellat |editor4-last=Schacht |editor4-first=J. |editor4-link=Joseph Schacht |author2-link=Mohamed Bencheneb}}
* {{Cite encyclopedia |year=1986 |title=Ibn al- Bannāʾ al- Marrākus̲h̲ī |encyclopedia=Encyclopaedia of Islam |publisher=[[Brill Publishers|E. J. BRILL]] |url=https://referenceworks.brillonline.com/entries/encyclopaedia-of-islam-2/ibn-al-banna-al-marrakushi-SIM_3104 |last1=Suter |first1=H. |author-link=Heinrich Suter |orig-year=1971 |editor1-last=Lewis |editor1-first=B. |publication-place=Leiden, Netherlands |edition=2nd |volume=III |isbn=9004081186 |last2=Bencheneb |first2=M. |editor1-link=Bernard Lewis |editor2-last=Ménage |editor2-first=V. L. |editor2-link=Victor Louis Ménage |editor3-last=Pellat |editor3-first=C. |editor3-link=Charles Pellat |editor4-last=Schacht |editor4-first=J. |editor4-link=Joseph Schacht |author2-link=Mohamed Bencheneb}}
{{commonscat|Al-Marrakushi}}
{{commons category|Al-Marrakushi}}
{{Islamic mathematics}}
{{Islamic mathematics}}
{{Islamic astronomy}}
{{Islamic astronomy}}
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[[Category:14th-century astronomers]]
[[Category:14th-century astronomers]]
[[Category:14th-century mathematicians]]
[[Category:14th-century mathematicians]]
[[Category:14th-century Moroccan people]]
[[Category:14th-century Moroccan writers]]
[[Category:14th-century Moroccan writers]]
[[Category:Medieval Moroccan astronomers]]
[[Category:Medieval Moroccan astronomers]]
[[Category:Medieval Moroccan mathematicians]]
[[Category:Medieval Moroccan mathematicians]]
[[Category:Algebraists]]
[[Category:Algebraists]]
[[Category:Geometers]]
[[Category:Medieval geometers]]
[[Category:People from Marrakesh]]
[[Category:People from Marrakesh]]
[[Category:Mathematicians who worked on Islamic inheritance]]
[[Category:Mathematicians who worked on Islamic inheritance]]

Latest revision as of 05:29, 25 November 2024

Ibn al‐Bannāʾ al‐Marrākushī
Born29 or 30 December 1256
Died31 July 1321
Academic background
InfluencesAl-Zarqali, Ibn Ishaq al-Tunisi
Academic work
EraIslamic Golden Age
Main interestsMathematics, astronomy

Ibn al‐Bannāʾ al‐Marrākushī (Arabic: ابن البناء المراكشي), full name: Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi (Arabic: أبو العباس أحمد بن محمد بن عثمان الأزدي) (29 December 1256 – 31 July 1321), was an Arab Muslim polymath who was active as a mathematician, astronomer, Islamic scholar, Sufi and astrologer.[3][4]

Biography

[edit]

Ahmad ibn Muhammad ibn Uthman was born in the Qa'at Ibn Nahid Quarter of Marrakesh on 29 or 30 December 1256.[2][3] His nisba al-Marrakushi is in relation to his birth and death in his hometown Marrakesh and al azdi means he was from the big arab tribe Azd. His father was a mason thus the kunya Ibn al-Banna' (lit. the son of the mason).[5]

Ibn al-Banna' studied a variety of subjects under at least 17 masters: Quran under the Qari's Muhammad ibn al-bashir and shaykh al-Ahdab. ʻilm al-ḥadīth under qadi al-Jama'a (chief judge) of Fez َAbu al-Hajjaj Yusuf ibn Ahmad ibn Hakam al-Tujibi, Abu Yusuf Ya'qub ibn Abd al-Rahman al-Jazuli and Abu abd allah ibn. Fiqh and Usul al-Fiqh under Abu Imran Musa ibn Abi Ali az-Zanati al-Marrakushi and Abu al-Hasan Muhammad ibn Abd al-Rahman al-Maghili who taugh him al-Juwayni's Kitab al-Irsahd. He also studied Arabic grammar under Abu Ishaq Ibrahim ibn Abd as-Salam as-Sanhaji and Muhammad ibn Ali ibn Yahya as-sharif al-marrakushi who also taugh him Euclid’s Elements. ʿArūḍ and ʿilm al-farāʾiḍ under Abu Bakr Muhammad ibn Idris ibn Malik al-Quda'i al-Qallusi. Arithmetic under Muhammad ibn Ali, known as Ibn Ḥajala. Ibn al-Banna' also studied astronomy under Abu 'Abdallah Muhammad ibn Makhluf as-Sijilmassi. He also studied medecine under al-Mirrīkh.[6][7]

He is known to have attached himself to the founder of the Hazmiriyya zawiya and sufi saint of Aghmat, Abu Zayd Abd al-Rahman al-Hazmiri, who guided his arithmetic skills toward divinational predictions.[4]

Ibn al-Banna' taught classes in Marrakesh and some of his students were: Abd al-Aziz ibn Ali al-Hawari al-Misrati (d.1344), Abd al-Rahman ibn Sulayman al-Laja'i (d. 1369) and Muhammad ibn Ali ibn Ibrahim al-Abli (d. 1356).[8]

He died at Marrakesh on 31 July 1321.[4]

Works

[edit]

Ibn al-Banna' wrote over 100 works encompassing such varied topics as Astronomy, Astrology, the division of inheritances, Linguistics, Logic, Mathematics, Meteorology, Rhetoric, Tafsir, Usūl al-Dīn and Usul al-Fiqh.[8] One of his works, called Talkhīṣ ʿamal al-ḥisāb (Arabic: تلخيص أعمال الحساب) (Summary of arithmetical operations), includes topics such as fractions and sums of squares and cubes. Another, called Tanbīh al-Albāb,[9] covers topics related to:

  • calculations regarding the drop in irrigation canal levels,
  • arithmetical explanation of the Muslim laws of inheritance
  • determination of the hour of the Asr prayer,
  • explanation of frauds linked to instruments of measurement,
  • enumeration of delayed prayers which have to be said in a precise order, and
  • calculation of legal tax in the case of a delayed payment

He also wrote an introduction to Euclid's Elements.[10]

He also wrote Rafʿ al-Ḥijāb 'an Wujuh A'mal al-Hisab (Lifting the Veil from Faces of the Workings of Calculations) which covered topics such as computing square roots of a number and the theory of simple continued fractions.[10]

See also

[edit]

References

[edit]
  1. ^ Calvo 2008, p. 1088.
  2. ^ a b Samsó 2007, p. 551.
  3. ^ a b Oaks 2017.
  4. ^ a b c Suter & Bencheneb 1986, p. 731.
  5. ^ Cherkaoui 1992, p. 1470.
  6. ^ Cherkaoui 1992, p. 1470-1471.
  7. ^ Stearns 2012, pp. 116–117.
  8. ^ a b Stearns 2012, p. 117.
  9. ^ A Djebbar: Mathematics in medieval Maghreb; AMUCHMA-Newsletter 15; Universidade Pedagógico (UP), Maputo (Mozambique), 15.9.1995.
  10. ^ a b Sarton 1931, p. 998.

Sources

[edit]
  • Calvo, Emilia (2008). "Ibn al-Banna'". In Selin, Helaine (ed.). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (2nd ed.). Springer Science & Business Media. ISBN 978-1-4020-4559-2.
  • Cherkaoui, Ahmed Iqbal (1992). "Ibn al-Banna', Ahmad ibn Muhammad ibn Uthman". In Toufiq, Ahmed; Hajji, Mohamed (eds.). Ma'lamat al-Maghrib (in Arabic). Vol. 5. al-Jamī‘a al-Maghribiyya li-l-Ta’līf wa-l-Tarjama wa-l-Nashr.
  • Oaks, Jeffrey (2017). "Ibn al- Bannāʾ al- Marrākushī". In Fleet, Kate; Krämer, Gudrun; Matringe, Denis; Nawas, John; Rowson, Everett (eds.). Encyclopaedia of Islam (3rd ed.). E. J. Brill.
  • Samsó, Julio (2007). "Ibn al-Bannāʾ: Abū al-ʿAbbās Aḥmad ibn Muḥammad ibn ʿUthmān al-Azdī al-Marrākushī". In Thomas Hockey; et al. (eds.). The Biographical Encyclopedia of Astronomers. New York: Springer. pp. 551–552. ISBN 978-0-387-31022-0.
  • Sarton, George (1931). Introduction to the History of Science. Vol. II. From Rabbi Ben Ezra to Roger Bacon. Carnegie Institution of Washington.
  • Stearns, Justin (2012). Akyeampong, Emmanuel Kwaku; Gates Jr., Henry Louis (eds.). Dictionary of African Biography. Vol. 4. OUP USA. ISBN 978-0-19-538207-5.
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