Ibn al-Haytham, New Astronomy and Spherical Geometry

Ibn al-Haytham, New Astronomy and Spherical Geometry
Author: Roshdi Rashed
Publisher: Routledge
Total Pages: 434
Release: 2020-10-12
Genre: History
ISBN: 1317680863

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This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The fourth volume of A History of Arabic Sciences and Mathematics is complemented by three preceding volumes which focused on infinitesimal determinations and other chapters of classical mathematics. This book includes five main works of the polymath Ibn al-Haytham (Alhazen) on astronomy, spherical geometry and trigonometry, plane trigonometry and studies of astronomical instruments on hour lines, horizontal sundials and compasses for great circles. In particular, volume four examines: the increasing tendency to mathematize the inherited astronomy from Greek sources, namely Ptolemy's Almagest; the development of celestial kinematics; new research in spherical geometry and trigonometry required by the new kinematical theory; the study on astronomical instruments and its impact on mathematical research. These new historical materials and their mathematical and historical commentaries contribute to rewriting the history of mathematical astronomy and mathematics from the 11th century on. 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.

A History of Arabic Sciences and Mathematics: Ibn al-Haytam, new spherical geometry and astronomy

A History of Arabic Sciences and Mathematics: Ibn al-Haytam, new spherical geometry and astronomy
Author: Rushdī Rāshid
Publisher:
Total Pages:
Release: 2012
Genre: Mathematics
ISBN:

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"In this unique insight into the history and philosophy of mathematics and science in the mediaeval Arab world, the eminent scholar Roshdi Rashed illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century. The first of five wide-ranging and comprehensive volumes, this book provides a detailed exploration of Arabic mathematics and sciences in the ninth and tenth centuries. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries 'School of Baghdad' - such as the Ban ︣Ms︣, ́ Thb́it ibn Qurra, Ibrh́m̋ ibn Sinń, Ab ︣Jaþfar al-Khźin, Ab ︣Sahl Wayjan ibn Rustḿ al-Qh︣ ̋- and eleventh-century Andalusian mathematicians like Ab ︣al-Qśim ibn al-Samh, and al-Mu'taman ibn Hd︣. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of 'infinitesimal mathematics' as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham ('Alhazen'). Contributing to 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, mathematicians at the most advanced levels of research"--

Ibn Al-Haytham's Geometrical Methods and the Philosophy of Mathematics

Ibn Al-Haytham's Geometrical Methods and the Philosophy of Mathematics
Author: Rushdī Rāshid
Publisher:
Total Pages: 0
Release: 2017
Genre: History
ISBN: 9780415582193

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This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world's foremost authorities.

Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics

Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics
Author: Roshdi Rashed
Publisher: Routledge
Total Pages: 637
Release: 2017-07-20
Genre: History
ISBN: 1351686003

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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.

Encyclopedia of the History of Arabic Science

Encyclopedia of the History of Arabic Science
Author: Roshdi Rashed
Publisher: Routledge
Total Pages: 1022
Release: 2019-08-08
Genre: History
ISBN: 1134977239

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The Arabic contribution is fundamental to the history of science, mathematics and technology, but until now no single publication has offered an up-to-date synthesis of knowledge in this area. In three fully-illustrated volumes the Encyclopedia of the History of Arabic Science documents the history and philosophy of Arabic science from the earliest times to the present day. The set as a whole covers seven centuries. Thirty chapters, written by an international team of specialists from Europe, America, the Middle East and Russia cover such areas as astronomy, mathematics, music, engineering, nautical science and scientific institutions.

Menelaus' ›Spherics‹

Menelaus' ›Spherics‹
Author: Roshdi Rashed
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 888
Release: 2017-10-23
Genre: Philosophy
ISBN: 3110571420

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Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.

The Poetics of Ancient and Classical Arabic Literature

The Poetics of Ancient and Classical Arabic Literature
Author: Esad Durakovic
Publisher: Routledge
Total Pages: 296
Release: 2015-04-24
Genre: Religion
ISBN: 1317520491

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Through analysing ancient and classical Arabic literature, including the Qur'an, from within the Arabic literary tradition, this book provides an original interpretation of poetics, and of other important aspects of Arab culture. Ancient Arabic literature is a realm of poetry; prose literary forms emerged rather late, and even then remained in the shadow of poetic creative efforts. Traditionally, this literature has been viewed through a philologist’s lens and has often been represented as ‘materialistic’ in the sense that its poetry lacked imagination. As a result, Arabic poetry was often evaluated negatively in relation to other poetic traditions. The Poetics of Ancient and Classical Arabic Literature argues that old Arabic literature is remarkably coherent in poetical terms and has its own individuality, and that claims of its materialism arise from a failure to grasp the poetic principles of the Arabic tradition. Analysing the Qur’an, which is known for confronting the poetry of the time, this book reveals that "post Qur’anic" literature came to be defined against it. Thus, the constitution and interpretation of Arabic literature imposed itself as a particular exegesis of the sacred Text. Disputing traditional interpretations by arguing that Arabic literature can only be assessed from within, and not through comparison with other literary traditions, this book is of interest to students and scholars of Islamic Studies, Arabic Studies and Literary Studies.

Geometry in History

Geometry in History
Author: S. G. Dani
Publisher: Springer Nature
Total Pages: 759
Release: 2019-10-18
Genre: Mathematics
ISBN: 3030136094

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This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

Arabic Mathematical Sciences

Arabic Mathematical Sciences
Author: Richard Lorch
Publisher: Routledge
Total Pages: 376
Release: 1995
Genre: History
ISBN:

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This volume focuses on the mathematical sciences in mediaeval Islam - astronomical instruments, the geometry of the sphere and the translation of texts (from Greek into Arabic and from Arabic into Latin). Four of the articles contain texts in Arabic or Latin, with commentary.

Eastern Rome and the Rise of Islam

Eastern Rome and the Rise of Islam
Author: Olof Heilo
Publisher: Routledge
Total Pages: 163
Release: 2015-11-19
Genre: History
ISBN: 1317326636

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The emergence of Islam in the seventh century AD still polarises scholars who seek to separate religious truth from the historical reality with which it is associated. However, history and prophecy are not solely defined by positive evidence or apocalyptic truth, but by human subjects, who consider them to convey distinct messages and in turn make these messages meaningful to others. These messages are mutually interdependent, and analysed together provide new insights into history. It is by way of this concept that Olof Heilo presents the decline of the Eastern Roman Empire as a key to understanding the rise of Islam; two historical processes often perceived as distinct from one another. Eastern Rome and the Rise of Islam highlights significant convergences between Early Islam and the Late Ancient world. It suggests that Islam’s rise is a feature of a common process during which tensions between imperial ambitions and apocalyptic beliefs in Europe and the Middle East cut straight across today’s theological and political definitions. The conquests of Islam, the emergence of the caliphate, and the transformation of the Roman and Christian world are approached from both prophetic anticipations in the Ancient and Late Ancient world, and from the Medieval and Modern receptions of history. In the shadow of their narratives it becomes possible to trace the outline of a shared history of Christianity and Islam. The "Dark Ages" thus emerge not merely as a tale of sound and fury, but as an era of openness, diversity and unexpected possibilities. Approaching the rise of Islam as a historical phenomenon, this book opens new perspectives in the study of early religion and philosophy, as well as providing a valuable resource for students and scholars of Islamic Studies.