Abu Nasr Mansur

Abu Nasri Mansur ibn Ali ibn Iraq (Persian: ابو نصر منصور بن علی بن عراق‎‎; c. 960 – 1036) was a Persian^[1] Muslim mathematician. He is well known for his work with the spherical sine law.^[2][3]

Abu Nasr Mansur was born in Gilan, Persia, to the ruling family of Khwarezm, the Afrighids.^[4] He was thus a prince within the political sphere. He was a student of Abu'l-Wafa and a teacher of and also an important colleague of the mathematician, Al-Biruni. Together, they were responsible for great discoveries in mathematics and dedicated many works to one another.

Most of Abu Nasri's work focused on math, but some of his writings were on astronomy. In mathematics, he had many important writings on trigonometry, which were developed from the writings of Ptolemy. He also preserved the writings of Menelaus of Alexandria and reworked many of the Greeks theorems.

He died in the Ghaznavid Empire (modern-day Afghanistan) near the city of Ghazna.

References

Sources

• Berggren, J. Len (2007). "Ibn ʿIrāq: Abū Naṣr Manṣūr ibn ʿAlī ibn ʿIrāq". In Thomas Hockey; et al. The Biographical Encyclopedia of Astronomers. New York: Springer. pp. 557–558. ISBN 978-0-387-31022-0.  (PDF version)
• O'Connor, John J.; Robertson, Edmund F., "Abu Nasr Mansur ibn Ali ibn Iraq", MacTutor History of Mathematics archive, University of St Andrews .
• SamsÓ, Julio (2008) [1970-80]. "Manṣūr Ibn 'Alī Ibn 'Irāq, Abū Naṣr". Complete Dictionary of Scientific Biography. Encyclopedia.com. 

Mathematics in medieval Islam
Mathematicians (Works)	9th century 'Abd al-Hamīd ibn Turk Sind ibn Ali Al-Abbās ibn Said al-Jawharī Al-Ḥajjāj ibn Yūsuf ibn Maṭar Al-Kindi De Gradibus Al-Mahani Banū Mūsā Hunayn ibn Ishaq al-Khwārizmī The Compendious Book on Calculation by Completion and Balancing ibn Qurra Na'im ibn Musa Sahl ibn Bishr Habash al-Hasib al-Marwazi Abu Said Gorgani 10th century Abd al-Rahman al-Sufi Book of Fixed Stars Abu al-Wafa' Buzjani Abū Ja'far al-Khāzin Abū Kāmil Shujāʿ ibn Aslam Abu'l-Hasan al-Uqlidisi Abu-Mahmud Khojandi Ahmad ibn Yusuf Al-Nayrizi Al-Saghani Brethren of Purity Ibn Sahl Ibn Yunus Ibrahim ibn Sinan Al-Battani Sinan ibn Thabit Al-Isfahani Nazif ibn Yumn Abū Sahl al-Qūhī Abu al-Jud 11th century Abū Ishāq Ibrāhīm al-Zarqālī Abu Nasr Mansur Al-Biruni Ibn al-Haytham / Alhazen Book of Optics Ibn Muʿādh al-Jayyānī Al-Karaji Al-Sijzi Alī ibn Ahmad al-Nasawī Avicenna The Book of Healing Abu Mansur al-Baghdadi Kushyar Gilani Yusuf al-Mu'taman ibn Hud Abu Mansur al-Baghdadi Al-Isfizari 12th century Al-Khazini Al-Samawal al-Maghribi Omar Khayyam Jabir ibn Aflah Abu Bakr al-Hassar 13th century Muhyi al-Dīn al-Maghribī Nasir al-Din al-Tusi Zij-i Ilkhani Shams al-Dīn al-Samarqandī Sharaf al-Dīn al-Ṭūsī Ibn al‐Ha'im al‐Ishbili Ibn Abi al-Shukr 14th century Yaʿīsh ibn Ibrāhīm al-Umawī Ibn al-Banna' al-Marrakushi Ibn al-Shatir Kamāl al-Dīn al-Fārisī Al-Khalili Qutb al-Din al-Shirazi Ahmad al-Qalqashandi 15th century Abū al-Ḥasan ibn ʿAlī al-Qalaṣādī Ali Qushji Jamshīd al-Kāshī Qāḍī Zāda al-Rūmī Ulugh Beg Ibn al-Majdi 16th century Al-Birjandi Muhammad Baqir Yazdi Taqi ad-Din Ibn Hamza al-Maghribi Ibn Ghazi al-Miknasi
Other treatises	Almanac Encyclopedia of the Brethren of Purity Toledan Tables Tabula Rogeriana Zij Zij-i Sultani
Concepts	Alhazen's problem Islamic geometric patterns
Centers	Al-Azhar University Al-Mustansiriya University House of Knowledge House of Wisdom Constantinople observatory of Taqi al-Din Madrasa Maktab Maragheh observatory University of Al Quaraouiyine
Influences	Babylonian mathematics Greek mathematics Indian mathematics
Influenced	Byzantine mathematics European mathematics Indian mathematics