Al-Samawal al-Maghribi

Samauʼal Al-Maghribī
Born	c. 1130 Baghdad, Abbasid Caliphate
Died	c. 1180 Maragheh, Ahmadili Azerbaijan

Academic background
Influences	Abu'l-Barakāt al-Baghdādī
Academic work
Era	Islamic Golden Age
Main interests	Mathematics, Medicine

Al-Samaw-al Polynomial. Illustration of the *al-Bahir fi'l-Jabr* "The Brilliant in Algebra" from the 12th century.

Al-Samawʾal ibn Yaḥyā al-Maghribī (Arabic: السموأل بن يحيى المغربي, c. 1130 – c. 1180), commonly known as Samawʾal al-Maghribi, was a mathematician, astronomer and physician.^[1] Born to a Jewish family of North African origin, he concealed his conversion to Islam for many years for fear of offending his father, then openly embraced Islam in 1163 after he had a dream telling him to do so.^[2] His father was a rabbi from Morocco named Yehuda ibn Abūn.^[3]^[4]

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Mathematics

Al-Samaw'al wrote the mathematical treatise al-Bahir fi'l-jabr, meaning "The brilliant in algebra", at the age of nineteen.

He also used the two basic concepts of mathematical induction, though without stating them explicitly. He used this to extend results for the binomial theorem up to n=12 and Pascal's triangle previously given by al-Karaji.^[5]

Polemics

Arabic Wikisource has original text related to this article:

al-Samaw'al

He also wrote a famous polemic book in Arabic debating Judaism known as Ifḥām al-Yahūd (Confutation of the Jews). A Latin tract translated from Arabic and later translated into many Western languages, titled Epistola Samuelis Marrocani ad R. Isaacum contra errores Judaeorum, claims to be authored by a certain R. Samuel of Fez "about the year 1072" and is erroneously connected with him.^[6]^[7]^[8]

Notes

^ A Jewish Encyclopedia
^ UIMATH: Islamic Mathematics (Algebra)
^ Medieval Cultures in Contact, By Richard Gyug, pg. 123
^ Perlman, Moshe (1964). Silencing the Jews. New York: American Academy for Jewish Research. p. 15.
^ Katz (1992), p. 242:
"Like the proofs of al-Karaji and ibn al-Haytham, al-Samaw'al's argument contains the two basic components of an inductive proof. He begins with a value for which the result is known, here n = 2, and then uses the result for a given integer to derive the result for the next. Since al-Samaw'al did not have any way of stating the general binomial theorem, however, he cannot be said to have proved it, by induction or otherwise. What he had done was provide a method acceptable to his readers for expanding binomials up to the twelfth power..."
^ Williams, A. Lukyn (1935). Adversus Judaeos: a Bird's-Eye View of Christian Apologiae until the Renaissance. Cambridge: Cambridge University Press. pp. 228–232. ISBN 978-1-139-10847-8. OCLC 889963332.
^ Perlmann, Moshe (1964). "Samau'al al-Maghribī Ifḥām Al-Yahūd: Silencing the Jews / إفحام اليهود: تأليف السموءل المغربي (القرن السادس الهجري)". Proceedings of the American Academy for Jewish Research. 32: 5. doi:10.2307/3622414. JSTOR 3622414.
^ Samau'al al-Maghribi: Ifham Al-Yahud: Silencing the Jews by Moshe Perlmann, Proceedings of the American Academy for Jewish Research, Vol. 32, Samau'al Al-Maghribi Ifham Al-Yahud: Silencing the Jews (1964)

References

Anbouba, Adel (1970). "Al-Samaw'al, Ibn Yaḥyā Al-Maghribī". Dictionary of Scientific Biography. New York: Charles Scribner's Sons. ISBN 978-0-684-10114-9.
O'Connor, John J.; Robertson, Edmund F., "Ibn Yahya al-Maghribi Al-Samawal", MacTutor History of Mathematics Archive, University of St Andrews
Samau'al al-Maghribi: Ifham Al-Yahud: Silencing the Jews by Moshe Perlmann, Proceedings of the American Academy for Jewish Research, Vol. 32, Samau'al Al-Maghribi Ifham Al-Yahud: Silencing the Jews (1964)
Samaw'al al-Maghribi: Ifham al-yahud, The early recension, by مغربي، السموءل بن يحي، d. ca. 1174. al-Samawʼal ibn Yaḥyá Maghribī; Ibrahim Marazka; Reza Pourjavady; Sabine Schmidtke Publisher: Wiesbaden : Harrassowitz, 2006. OCLC 63514265
Perlmann, Moshe, "Eleventh-Century Andalusian Authors on the Jews of Granada" Proceedings of the American Academy for Jewish Research 18 (1948–49):269-90.

External links

Al-Bahir en Algebre d'As-Samaw'al translation by Salah Ahmad, Roshdi Rashed, Author(s) of Review: David A. King, Isis, Vol. 67, No. 2 (Jun., 1976), pp. 307-308
Al-Asturlabi and as-Samaw'al on Scientific Progress, Osiris, Vol. 9, 1950 (1950), by Franz Rosenthal, pp. 555–566
Naderi, Negar (2007). "Samawʾal: Abū Naṣr Samawʾal ibn Yaḥyā ibn 'Abbās al‐Maghribī al‐Andalusī". In Thomas Hockey; et al. (eds.). The Biographical Encyclopedia of Astronomers. New York: Springer. p. 1009. ISBN 978-0-387-31022-0. (PDF version)

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Mathematics in the medieval Islamic world

Mathematicians

9th century	'Abd al-Hamīd ibn Turk Sanad ibn Ali al-Jawharī Al-Ḥajjāj ibn Yūsuf Al-Kindi Qusta ibn Luqa Al-Mahani al-Dinawari Banū Mūsā Hunayn ibn Ishaq Al-Khwarizmi Yusuf al-Khuri Ishaq ibn Hunayn Na'im ibn Musa Thābit ibn Qurra al-Marwazi Abu Said Gorgani
10th century	Abu al-Wafa al-Khazin Al-Qabisi Abu Kamil Ahmad ibn Yusuf Aṣ-Ṣaidanānī Sinān ibn al-Fatḥ al-Khojandi Al-Nayrizi Al-Saghani Brethren of Purity Ibn Sahl Ibn Yunus al-Uqlidisi Al-Battani Sinan ibn Thabit Ibrahim ibn Sinan Al-Isfahani Nazif ibn Yumn al-Qūhī Abu al-Jud Al-Sijzi Al-Karaji al-Majriti al-Jabali
11th century	Abu Nasr Mansur Alhazen Kushyar Gilani Al-Biruni Ibn al-Samh Abu Mansur al-Baghdadi Avicenna al-Jayyānī al-Nasawī al-Zarqālī ibn Hud Al-Isfizari Omar Khayyam Muhammad al-Baghdadi
12th century	Jabir ibn Aflah Al-Kharaqī Al-Khazini Al-Samawal al-Maghribi al-Hassar Sharaf al-Din al-Tusi Ibn al-Yasamin
13th century	Ibn al‐Ha'im al‐Ishbili Ahmad al-Buni Ibn Munim Alam al-Din al-Hanafi Ibn Adlan al-Urdi Nasir al-Din al-Tusi al-Abhari Muhyi al-Din al-Maghribi al-Hasan al-Marrakushi Qutb al-Din al-Shirazi Shams al-Din al-Samarqandi Ibn al-Banna' Kamāl al-Dīn al-Fārisī
14th century	Nizam al-Din al-Nisapuri Ibn al-Shatir Ibn al-Durayhim Al-Khalili al-Umawi
15th century	Ibn al-Majdi al-Rūmī al-Kāshī Ulugh Beg Ali Qushji al-Wafa'i al-Qalaṣādī Sibt al-Maridini Ibn Ghazi al-Miknasi
16th century	Al-Birjandi Muhammad Baqir Yazdi Taqi ad-Din Ibn Hamza al-Maghribi Ahmad Ibn al-Qadi

Mathematical
works

Concepts

Centers

Influences

Influenced

Islamic medicine

Physicians

7th century	Abu Hafsa Yazid Al-Harith ibn Kalada Bukhtishu Ibn Abi Ramtha al-Tamimi Ibn Uthal Masarjawaih Nafi ibn al-Harith Rufaida Al-Aslamia Zaynab al-Awadiya
8th century	Bukhtishu Ja'ar al-Sadiq
9th century	Al-Kindi Al-Ruhawi Albubather Ali al-Ridha Ali ibn Sahl Rabban al-Tabari Bukhtishu Hunayn ibn Ishaq Ishaq ibn Hunayn Jabir ibn Hayyan Jabril ibn Bukhtishu Masawaiyh Salmawaih ibn Bunan Shapur ibn Sahl Yahya ibn Sarafyun Yuhanna ibn Bukhtishu Yusuf al-Khuri
10th century	'Ali ibn al-'Abbas al-Majusi Aayon Ibn Aayon Abu Bakr Rabee Ibn Ahmad Al-Akhawyni Bokhari Abu Bakr al-Razi Abu Sahl 'Isa ibn Yahya al-Masihi Abu Zayd al-Balkhi Abu al-Hasan al-Tabari Abu al-Qasim Muqane'i Abu al-Qasim al-Zahrawi Abu ul-Ala Shirazi Al-Kaŝkarī Al-Natili Al-Tamimi, the physician Eutychius of Alexandria Ibn Abi al-Ashʿath Ibn Juljul Ibn al-Jazzar Ibrahim ibn Baks Isaac Israeli ben Solomon Mohammed ibn Abdun al-Jabali Muvaffak Qumri Qusta ibn Luqa
11th century	Abdollah ibn Bukhtishu Abu 'Ubayd al-Juzjani Abu al-Hakam al-Kirmani Al-Biruni Ali ibn Isa al-Kahhal Ali ibn Ridwan Ali ibn Yusuf al-Ilaqi Ammar ibn Ali al-Mawsili Avicenna Badi' al-Asturlabi Ibn Abi Sadiq Ibn Al-Thahabi Ibn Butlan Ibn Hindu Ibn Jazla Ibn al-Haytham Ibn al-Kattani Ibn al-Wafid Jonah ibn Janah Masawaih
12th century	Abu Jafar ibn Harun al-Turjali Abu al-Bayan ibn al-Mudawwar Abu al-Majd ibn Abi al-Hakam Abu'l-Barakāt al-Baghdādī Ahmad ibn Farrokh Al-Samawal al-Maghribi Avempace Averroes Ibn Habal Ibn Jumay‘ Ibn Tufayl Ibn Zuhr Ibn al-Tilmīdh Moshe ben Maimon Muhammad ibn Aslam Al-Ghafiqi Serapion the Younger Ya'qub ibn Ishaq al-Israili Zayn al-Din Gorgani
13th century	Abd al-Latif al-Baghdadi Abraham ben Moses ben Maimon Al-Dakhwar Al-Shahrazuri Amin al-Din Rashid al-Din Vatvat As-Suwaydi Da'ud Abu al-Fadl Hussam al-Din al-Jarrahi Ibn Abi Usaibia Ibn Tumlus Ibn al-Baitar Ibn al-Nafis Ibn al-Quff Ibn al‐Raqqam Joseph ben Judah of Ceuta Najib ad-Din Samarqandi Qutb al-Din al-Shirazi Rashidun al-Suri Sa'ad al-Dawla Zakariya al-Qazwini
14th century	Al-Nagawri Aqsara'i Ibn Shuayb Ibn al-Akfani Ibn al-Khatib Jaghmini Mansur ibn Ilyas Mas‘ud ibn Muhammad Sijzi Muhammad ibn Mahmud Amuli Najm al-Din Mahmud ibn Ilyas al-Shirazi Nakhshabi Rashid-al-Din Hamadani Sadid al-Din al-Kazaruni Yusuf ibn Ismail al-Kutubi Zayn-e-Attar
15th century	Abu Sa'id al-Afif Burhan-ud-din Kermani Husayni Isfahani Muhammad Ali Astarabadi Muhammad ibn Yusuf al-Harawi Nurbakhshi Shaykh Muhammad ibn Thaleb Şerafeddin Kadir
16th century	Rostam Gorgani ʽImad Shirazi Abul Qasim ibn Mohammed al-Ghassani Dawud al-Antaki Hakim-e-Gilani Sultan Ali Khorasani Taqi al-Din Muhammad ibn Ma'ruf
17th century	Qiwam al-Din Muhammad al-Hasani Abd El Razzaq Al-Jazaïri Qurayshi al-Shirazi Tunakabuni Maqsud-Ali Tabrizi
18th century	Al-Khurasani al-Shirazi