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Al-Samawʾal ibn Yaḥyā al-Maghribī (Arabic: السموأل بن يحيى المغربي; c. 1130 – c. 1180), commonly known as Samau'al al-Maghribi, was a Muslim mathematician, astronomer and physician.^{[1]} Though born to a Jewish family, he concealed his conversion to Islam for many years in 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.^{[3]}
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.^{[4]}
He also wrote a famous polemic book in Arabic debating Judaism known as Ifḥām al-Yahūd (Confutation of the Jews) or in Spanish Epistola Samuelis Maroccani and later known in English as The blessed Jew of Morocco.^{[5]}^{[6]}
"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..."
Logic, Quran, Metaphysics, Philosophy of science, Al-Biruni
Brahmagupta, Calculus, Integral, Isaac Newton, Trigonometry
Torah, Kabbalah, Israel, Hebrew language, Mishnah
French language, Colombia, Mexico, Nicaragua, Catalan language
Religion, Science, Medicine, Technology, Astronomy
Istanbul, Mathematics, Astronomy, Engineering, Avicenna
Ptolemy, Avicenna, Geometry, Basra, Astronomy
Avicenna, Metaphysics, Aristotelianism, Aristotle, Memory
Avicenna, Arabic language, Crusades, Muhammad, Spain
Al-Samawal al-Maghribi, Muhyi al-Dīn al-Maghribī, Nora Fatehi, Taqi al-Din Muhammad ibn Ahmad al-Fasi, Ya'qubi