Ibn al-Haytham, New Astronomy and Spherical Geometry
Ibn al-Haytham, New Astronomy and Spherical Geometry

Author: Roshdi Rashed

Publisher: Routledge

Published: 2020-10-12

Total Pages: 464

ISBN-13: 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.

Menelaus' ›Spherics‹
Menelaus' ›Spherics‹

Author: Roshdi Rashed

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2017-10-23

Total Pages: 888

ISBN-13: 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

Published: 2015-04-24

Total Pages: 296

ISBN-13: 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

Published: 2019-10-18

Total Pages: 759

ISBN-13: 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.

Eastern Rome and the Rise of Islam
Eastern Rome and the Rise of Islam

Author: Olof Heilo

Publisher: Routledge

Published: 2015-11-19

Total Pages: 163

ISBN-13: 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.

Ethics in Islam
Ethics in Islam

Author: Nuha Al-Shaar

Publisher: Routledge

Published: 2014-12-05

Total Pages: 267

ISBN-13: 1317575849

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Offering a new reading of Islamic ethical and political thought in the Būyid period (334-440/946-1048), this book focuses particularly on the philosopher Abū Hayyān al-Tawhīdī who lived in Baghdad and what is now western Iran. Ethics in Islam provides the first major treatment of al-Tawhīdī's ethics, political thought, and social idealism, investigating the complex influences that shaped this thought and especially his concept of friendship, which is analysed in the unique context of Būyid society. Al-Tawhīdī revives the value of friendship in politics. He introduces it as the best way to reform social and political order and as a means to the good life, to restrain passion and self-interest, to bring about cooperation and promote reason, and for action in opposition to religious zeal. Instead of seeing him as alienated from society, supposedly rejecting traditional Muslim beliefs, this book places him in his historical and intellectual contexts, and shows that while he was original in many ways, his outlook was firmly rooted in the Islamic culture in which he was educated. Contributing to modern discussions of Islam and political ethics, this book is of interest to scholars and researchers of political philosophy, comparative ethical thought and Islamic studies.

The City in the Muslim World
The City in the Muslim World

Author: Mohammad Gharipour

Publisher: Routledge

Published: 2015-03-05

Total Pages: 333

ISBN-13: 1317548221

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Presenting a critical, yet innovative, perspective on the cultural interactions between the "East" and the "West", this book questions the role of travel in the production of knowledge and in the construction of the idea of the "Islamic city". This volume brings together authors from various disciplines, questioning the role of Western travel writing in the production of knowledge about the East, particularly focusing on the cities of the Muslim world. Instead of concentrating on a specific era, chapters span the Medieval and Modern eras in order to present the transformation of both the idea of the "Islamic city" and also the act of traveling and travel writing. Missions to the East, whether initiated by military, religious, economic, scientific, diplomatic or touristic purposes, resulted in a continuous construction, de-construction and re-construction of the "self" and the "other". Including travel accounts, which depicted cities, extending from Europe to Asia and from Africa to Arabia, chapters epitomize the construction of the "Orient" via textual or visual representations. By examining various tools of representation such as drawings, paintings, cartography, and photography in depicting the urban landscape in constant flux, the book emphasizes the role of the mobile individual in defining city space and producing urban culture. Scrutinising the role of travellers in producing the image of the world we know today, this book is recommended for researchers, scholars and students of Middle Eastern Studies, Cultural Studies, Architecture and Urbanism.

Legal Authority in Premodern Islam
Legal Authority in Premodern Islam

Author: Fachrizal A. Halim

Publisher: Routledge

Published: 2014-11-20

Total Pages: 151

ISBN-13: 1317749189

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Offering a detailed analysis of the structure of authority in Islamic law, this book focuses on the figure of Yahyā b. Sharaf al-Nawawī, who is regarded as the chief contributor to the legal tradition known as the Shāfi'ī madhhab in traditional Muslim sources, named after Muhammad b. Idrīs al-Shāfi'ī (d. 204/820), the supposed founder of the school of law. Al-Nawawī’s legal authority is situated in a context where Muslims demanded to stabilize legal disposition that is consistent with the authority of the madhhab, since in premodern Islamic society, the ruling powers did not produce or promulgate law, as was the case in other, monarchic civilizations. Al-Nawawī’s place in the long-term formation of the madhhab is significant for many reasons but for one in particular: his effort in reconciling the two major interpretive communities among the Shāfi'ites, i.e., the tarīqas of the Iraqians and Khurasanians. This book revisits the history of the Shāfi'ī school in the pre-Nawawic era and explores its later development in the post-Nawawic period. Presenting a comprehensive picture of the structure of authority in Islamic law, specifically within the Shafi’ite legal tradition, this book is an essential resource for students and scholars of Islamic Studies, History and Law.

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

Published: 2017-07-20

Total Pages: 637

ISBN-13: 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.