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
The arts of ornamental geometry : a Persian compendium on similar and complementary interlocking figures, Fī tadākhul al-ashkāl al-mutashābiha aw al-mutāwafiqa (Bibliothèque Nation...
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This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416
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1 online resource. :
Includes bibliographical references and index. :
9789004315204 :
Available to subscribing member institutions only.
Laṭāʾif al-ḥisāb : Risāla-ī dar bāra-yi sargarmīhā-yi riyāḍī /
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Quṭb al-Dīn Lāhījī (d. ca. 1088-95/1677-1684) was a philosopher and traditional Islamic scholar who also took an interest in mathematics. He was a student of Mīr Dāmād (d. 1040/1630-31) of the 'School of Isfahan' in philosophy, as well as a contemporary of the philosopher, traditionist and mystic Muḥsin Fayḍ Kāshānī (d. 1091/1680). After his studies in Isfahan, Lāhījī returned to Lāhījān. There he was entrusted with the office of Shaykh al-Islām which his elder brother had held for three years before him, in succession to their father, who had been Shaykh al-Islām of Lāhījān before then. He held this office for many years. Among his works are Maḥbūb al-qulūb (history of philosophy), Fānūs al-khayāl (the imaginal world in Illuminationist philosophy) and the Tafsīr-i sharīf-i Lāhījī (Qurʾān interpretation). The present collection of mathematical puzzles aims to show the fun and practical use of mathematics. As a Persian text, it is quite rare in its kind.
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1 online resource. :
9789004405639
9789648700947
Risāla-yi asṭurlāb-i Kūshyār Gīlānī /
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Kushyār (Pers. Kushyār) b. Labbān Gīlānī was a Persian astronomer and mathematician who flourished around 390/1000. All we know about his personal life is that he originated from the region of Gilan in northern Iran, bordering on the Caspian Sea. Given that he is cited in Abū Rayḥān al-Bīrūnī's (d. after 442/1050) Kitāb fī ifrād al-maqāl fī amr al-aẓlāl , Kushyār must have become an authority by the time al-Bīrūnī came to write this work. From his works in mathematics, Kushyār's Kitāb fī uṣūl ḥisāb al-Hind on Indian arithmatic is the most important, and in astronomy his Zīj-i jāmiʿ . His Arabic work on the astrolabe is published here for the very first time, accompanied by a Japanese translation, both by Taro Mimura of Japan. In addition, this volume also contains a facsimile edition of the anonymous medieval Persian translation of this work, followed by a critical edition, both by Mohammad Bagheri of Iran.
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1 online resource. :
9789004406278
9786002030764
Dū risālah az ʿIzz al-Dīn-i Zanjānī : ʿUmdat al-ḥisāb wa-Qisṭās al-muʿādala fī ʿilm al-jabr wal-muqābala /
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Not much is known about ʿIzz al-Dīn Zanjānī's (d. 660/1262) personal life other than that at different times in his career he was in Mosul, Baghdad, Bukhara and Tabriz, where Naṣīr al-Dīn Ṭūsi (d. 672/1274) wrote his Tadhkira fi ʼl-hayʾa at his request. To posterity Zanjānī is maybe best known for his work on Arabic morphology, the Mabāḍiʾ al-taṣrīf , also known as Taṣrīf al-Zanjānī and al-ʿIzzī , on which many commentaries and supercommentaries were written. Zanjānī has four more works on linguistics, besides one work on astronomy and six treatises on mathematics, two of which are published in facsimile here. The first of these is his ʿUmdat al-ḥisāb on arithmetic and the second the Qisṭās al-muʿādala on equations. Following Zanjānī's own statements at the beginning of these treatises they were written for practical reasons, people in general standing in need of a good text on arithmetic, while the text on equations was especially relevant for jurists.
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1 online resource. :
9789004407268
9786002031211