Ibn Al Haytham S Completion Of The Conics


Ibn Al Haytham S Completion Of The Conics
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Ibn Al Haytham S Completion Of The Conics


Ibn Al Haytham S Completion Of The Conics
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Author : J.P. Hogendijk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Ibn Al Haytham S Completion Of The Conics written by J.P. Hogendijk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.


Arabian text with English translation and commentary



Al Maq Lat F Tam M Kit B Al Ma R T


Al Maq Lat F Tam M Kit B Al Ma R T
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Author : J. P.. Hogendijk
language : en
Publisher:
Release Date : 1985

Al Maq Lat F Tam M Kit B Al Ma R T written by J. P.. Hogendijk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Conic sections categories.




Ibn Al Haytham S Completion Of The Conics


Ibn Al Haytham S Completion Of The Conics
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Author : Alhazen
language : en
Publisher:
Release Date : 1983

Ibn Al Haytham S Completion Of The Conics written by Alhazen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Conic section categories.




Ibn Al Haytham S Theory Of Conics Geometrical Constructions And Practical Geometry


Ibn Al Haytham S Theory Of Conics Geometrical Constructions And Practical Geometry
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Author : Roshdi Rashed
language : en
Publisher: Routledge
Release Date : 2013-06-26

Ibn Al Haytham S Theory Of Conics Geometrical Constructions And Practical Geometry written by Roshdi Rashed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with History categories.


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.



Edmond Halley S Reconstruction Of The Lost Book Of Apollonius S Conics


Edmond Halley S Reconstruction Of The Lost Book Of Apollonius S Conics
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Author : Michael N. Fried
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-03

Edmond Halley S Reconstruction Of The Lost Book Of Apollonius S Conics written by Michael N. Fried and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-03 with Mathematics categories.


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.



Ibn Al Haytham S Geometrical Methods And The Philosophy Of Mathematics


Ibn Al Haytham S Geometrical Methods And The Philosophy Of Mathematics
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Author : Roshdi Rashed
language : en
Publisher: Routledge
Release Date : 2017-07-20

Ibn Al Haytham S Geometrical Methods And The Philosophy Of Mathematics written by Roshdi Rashed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with History categories.


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.



The Mathematics Of Egypt Mesopotamia China India And Islam


The Mathematics Of Egypt Mesopotamia China India And Islam
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Author : Victor J. Katz
language : en
Publisher: Princeton University Press
Release Date : 2021-08-10

The Mathematics Of Egypt Mesopotamia China India And Islam written by Victor J. Katz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Mathematics categories.


In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors—Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)—are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.



The Encyclopaedia Of Islam


The Encyclopaedia Of Islam
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Author : H. A. R. Gibb
language : en
Publisher: BRILL
Release Date : 1996

The Encyclopaedia Of Islam written by H. A. R. Gibb and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Art categories.


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.'



Apollonius Of Perga S Conica


Apollonius Of Perga S Conica
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Author : Michael Fried
language : en
Publisher: BRILL
Release Date : 2017-09-18

Apollonius Of Perga S Conica written by Michael Fried and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Literary Criticism categories.


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.



A Critical Edition Of Ibn Al Haytham S On The Shape Of The Eclipse


A Critical Edition Of Ibn Al Haytham S On The Shape Of The Eclipse
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Author : Dominique Raynaud
language : en
Publisher: Springer
Release Date : 2016-11-16

A Critical Edition Of Ibn Al Haytham S On The Shape Of The Eclipse written by Dominique Raynaud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-16 with Mathematics categories.


This book provides the first critical edition of Ibn al-Haytham’s On the Shape of the Eclipse with English translation and commentary, which records the first scientific analysis of the camera obscura. On the Shape of the Eclipse includes pioneering research on the conditions of formation of the image, in a time deemed to be committed to aniconism. It also provides an early attempt to merge the two branches of Ancient optics—the theory of light and theory of vision. What perhaps most strongly characterizes this treatise is the close interaction of a geometric analysis of light and experimental reasoning. Ibn al-Haytham conducted his experiments in a systematic way by varying all that could be changed: the shape and size of the aperture, the focal length of the camera obscura, the distance and shape of the celestial bodies. This way, he achieved a thorough understanding. This work represents a decisive step in both the history of optics and the application of the experimental method that was just as efficient in medieval Islam as today.