Ibn al-Haytham’s Completion of the Conics PDF Download

Author: J.P. Hogendijk
Publisher: Springer Science & Business Media
ISBN: 147574059X
Category : Mathematics
Languages : en
Pages : 425

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Book Description
Arabian text with English translation and commentary

Author: J. P.. Hogendijk
Publisher:
ISBN: 9783540960133
Category : Conic sections
Languages : en
Pages : 417

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Book Description

Author: J.P. Hogendijk
Publisher: Springer
ISBN: 9780387960135
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Arabian text with English translation and commentary

Author: Roshdi Rashed
Publisher: Routledge
ISBN: 1135072531
Category : History
Languages : en
Pages : 770

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Book Description
Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.

Author: Alhazen
Publisher:
ISBN:
Category : Conic section
Languages : en
Pages : 458

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Book Description

Author: Michael N. Fried
Publisher: Springer Science & Business Media
ISBN: 1461401461
Category : Mathematics
Languages : en
Pages : 134

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Book Description
Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.

Author: Roshdi Rashed
Publisher: Routledge
ISBN: 1351686003
Category : History
Languages : en
Pages : 637

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Book Description
This fifth volume of A History of Arabic Sciences and Mathematics is complemented by four preceding volumes which focused on the main chapters of classical mathematics: infinitesimal geometry, theory of conics and its applications, spherical geometry, mathematical astronomy, etc. This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors, Thābit ibn Qurra and al-Sijzī: The circle, its transformations and its properties; Analysis and synthesis: the founding of analytical art; A new mathematical discipline: the Knowns; The geometrisation of place; Analysis and synthesis: examples of the geometry of triangles; Axiomatic method and invention: Thābit ibn Qurra; The idea of an Ars Inveniendi: al-Sijzī. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.

Author: Gülru Necipoğlu
Publisher: BRILL
ISBN: 9004402500
Category : Art
Languages : en
Pages : 1532

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Book Description
The subject of this two-volume publication is an inventory of manuscripts in the book treasury of the Topkapı Palace in Istanbul, commissioned by the Ottoman sultan Bayezid II from his royal librarian ʿAtufi in the year 908 (1502–3) and transcribed in a clean copy in 909 (1503–4). This unicum inventory preserved in the Oriental Collection of the Library of the Hungarian Academy of Sciences (Magyar Tudományos Akadémia Könyvtára Keleti Gyűjtemény, MS Török F. 59) records over 5,000 volumes, and more than 7,000 titles, on virtually every branch of human erudition at the time. The Ottoman palace library housed an unmatched encyclopedic collection of learning and literature; hence, the publication of this unique inventory opens a larger conversation about Ottoman and Islamic intellectual/cultural history. The very creation of such a systematically ordered inventory of books raises broad questions about knowledge production and practices of collecting, readership, librarianship, and the arts of the book at the dawn of the sixteenth century. The first volume contains twenty-eight interpretative essays on this fascinating document, authored by a team of scholars from diverse disciplines, including Islamic and Ottoman history, history of science, arts of the book and codicology, agriculture, medicine, astrology, astronomy, occultism, mathematics, philosophy, theology, law, mysticism, political thought, ethics, literature (Arabic, Persian, Turkish/Turkic), philology, and epistolary. Following the first three essays by the editors on implications of the library inventory as a whole, the other essays focus on particular fields of knowledge under which books are catalogued in MS Török F. 59, each accompanied by annotated lists of entries. The second volume presents a transliteration of the Arabic manuscript, which also features an Ottoman Turkish preface on method, together with a reduced-scale facsimile.

Author: H. A. R. Gibb
Publisher: BRILL
ISBN: 9789004106338
Category : Art
Languages : en
Pages : 230

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Book Description
Oleg Grabar, 'Michael Meinecke and His Last Book.' Thomas Leisten, 'Mashhad al-Nasr: Monuments of War and Victory in Medieval Islamic Art.' Jere L. Bacharach, 'Marwanid Umayyad Building Activities: Speculations on Patronage.' Nuha N.N. Khoury, 'The Meaning of the Great Mosque of Cordoba in the Tenth Century.' Nasser Rabbat, 'Al-Azhar Mosque: An Architectural Chronicle of Cairo's History.' Howyda N. Al-Harithy, 'The Complex of Sultan Hasan in Cairo: Reading between the Lines.' Michael Cooperson, 'Baghdad in Rhetoric and Narrative.' Aptullah Kuran, 'A Spatial Study of Three Ottoman Capitals: Bursa, Edirne, and Istanbul.' Filiz aĥman and Zeren Tanindi, 'Remarks on Some Manuscripts at the Topkapi Palace Treasury in the Context of Ottoman-Safavid Relations.' Yildirim Yavuz, 'The 1922-26 Restoration Project of the Masjid al-Aqsa by Mimar Kemalettin.' Anthony Welch, 'A Medieval Center of Learning in India: The Haus Khas in Delhi.' Alpay zdural, 'On Interlocking Similar or Corresponding Figures and Ornamental Patterns of Cubic Equations.'

Author: Michael Fried
Publisher: BRILL
ISBN: 9004350993
Category : Literary Criticism
Languages : en
Pages : 512

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Book Description
This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.