Al-Muqniʿ fi ʼl-ḥisāb al-Hindī /
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Abu ʼl-Ḥasan Nasawī was a mathematician and geometer of the 5th/11th century. He was a contemporary of Bīrūnī (d. 440/1048) and a student of Avicenna (d. 428/1037). Naṣīr al-Dīn Ṭūsī (d. 672/1274) mentions him in his works and so do others. Nasawī became known in the west through the publications of Franz Woepcke in the nineteenth century. Born in Rayy, Nasawī worked for the Buyid ruler Majd al-Dawla (d. 420/1029) and later for Sharaf al-Dawla, vizier to the Buyid ruler of Baghdad, Jalāl al-Dawla (d. 435/1044). In Nasawī's time, there were three types of arithmetic: finger-counting as used in business, a sexagesimal sytem with numbers denoted by letters of the Arabic alphabet, and an Indian system of numerals and fractions with decimal notation. The present work is about the Indian system and treats of four classes of numbers in four separate sections. This is Nasawī's own Arabic reworking of the Persian original, now lost.
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"Mīrās̲-i Maktūb (Series), 241"--P. facing title page. :
1 online resource. :
9789004406094
9786002030368
Rāshīkāt al-Hind : Tanāsub nazd-i Hindiyān /
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Abū Rayḥān al-Bīrūnī (d. after 442/1050) is one of the greatest scholars in the history of Islam. A native of Kāth, capital of Khwārazm, he wrote on subjects ranging from mathematics, geography, astronomy and natural science to history, linguistics and ethnography. He was a student of, among others, the astronomer-mathematicians Kushyār b. Labbān (fl. 390/1000) and Abū Maḥmūd al-Khujandī (d. 390/1000). He also met and corresponded with Avicenna (d. 428/1037). As was common for a scholar of his rank in those days, he spent his life in the entourage of powerful rulers, in Khwārazm, Khurāsān, and Sidjistān. It was at the court of Maḥmūd b. Sebüktigin (d. 421/1030) and his sucessors in Ghazna that he accompanied Maḥmūd on his campaigns to north-west India. It is there that he got acquainted with Indian methods in the arithmetic of proportions and ratios, the subject of this book. Arabic text with a Persian translation by the editor.
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1 online resource. :
9789004405615
9789648700954
Seh risāla az Thābit b. Qurra : Sāʿathā-yi āftābī, Ḥarakat-i khurshīd u māh, Chahārdah wajhī muḥāṭ dar kurah /
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Thābit b. Qurra (d. 288/901) was a gifted mathematician, scientist and translator of many Greek scientific works, who knew Greek, Syriac and Arabic. He might have spent his entire life in his native Ḥarrān as a money-changer were it not for his chance encounter with Muḥammad b. Mūsā (259/873) of the famous Banū Mūsā brothers, specialists in mathematics and astronomy and among the most important intellectuals of Baghdad at the time. Appreciating his intelligence and his mastery of languages, Muḥammad took Thābit back with him to Baghdad, where he was trained in philosophy, astronomy and mathematics. Thābit then set out on a brilliant career as a translator and author in his own right, writing on all the applied sciences of his time. This facsimile edition of three texts on sundials, solar and lunar motions, and a fourteen-sided solid inside a sphere reproduces the well-known MS Istanbul, Köprülü 948, dated 370/981, copied by Thābit's grandson Ibrāhīm.
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"Nuskhah bargardān bih qaṭʻ-i aṣl-i nuskhah-i khaṭṭī bih shumārah-i 948 Kitābkhānah-i Kūprūlū (Istānbūl) kitābat 370 hijrī".
"A facsimile edition of the manuscript (MS 948, Koprulu Library, Istanbul, Turkey) copied in 370 A.H (981 A.D)"--Added title page. :
1 online resource. :
9789004406360
9786002030511
Ibrāhīm Ibn Sinān. Logique et Géométrie au Xe siècle /
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Ibrāhīm Ibn Sinān was one of the most famous scientists of the tenth century. His specialities were geometry, logic and philosophy of mathematics. In this volume, three new hypotheses are presented. The first one concerns the existence and the development of philosophy of mathematics in Arabic, independently of traditional metaphysics and philosophy. It is mainly concerned with the logic of discovery and the logic of proof. The second hypothesis concerns the development of a new chapter in mathematics devoted to geometrical transformations. The close connection between astronomy and mathematics, used to develop this last chapter, is discussed in the third hypothesis. The book presents a critical edition done for the first time and based on all available manuscripts, French translations, and long historical and mathematical commentaries.
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1 online resource. :
Includes bibliographical references and index. :
9789004453135
9789004118041