Ibn Al Haythams Theory Of Conics Geometrical Constructions And Practical Geometry

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Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1135072531
Total Pages : 770 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry by : Roshdi Rashed

Download or read book Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2013-06-26 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ibn Al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

Author : Roshdi Rashed
Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Ibn Al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry by : Roshdi Rashed

Download or read book Ibn Al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry written by Roshdi Rashed and published by . This book was released on 2013 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ibn Al-Haytham Theory of Conics, Geometrical Constructions and Practical Geometry

Author : Rushdī Rāshid
Publisher :
ISBN 13 :
Total Pages : 759 pages
Book Rating : 4.:/5 (854 download)

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Book Synopsis Ibn Al-Haytham Theory of Conics, Geometrical Constructions and Practical Geometry by : Rushdī Rāshid

Download or read book Ibn Al-Haytham Theory of Conics, Geometrical Constructions and Practical Geometry written by Rushdī Rāshid and published by . This book was released on 2013 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Arabic Sciences and Mathematics: Ibn al-Haytham's Theory of conics, geometrical constructions and practical geometry

Author : Rushdī Rāshid
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (21 download)

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Book Synopsis A History of Arabic Sciences and Mathematics: Ibn al-Haytham's Theory of conics, geometrical constructions and practical geometry by : Rushdī Rāshid

Download or read book A History of Arabic Sciences and Mathematics: Ibn al-Haytham's Theory of conics, geometrical constructions and practical geometry written by Rushdī Rāshid and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 Ms, Thbit ibn Qurra, Ibrhm ibn Sinn, Ab Jaþfar al-Khzin, Ab Sahl Wayjan ibn Rustm al-Qh - and eleventh-century Andalusian mathematicians like Ab al-Qsim ibn al-Samh, and al-Mu'taman ibn Hd. 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, New Astronomy and Spherical Geometry

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1317680863
Total Pages : 434 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis Ibn al-Haytham, New Astronomy and Spherical Geometry by : Roshdi Rashed

Download or read book Ibn al-Haytham, New Astronomy and Spherical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2020-10-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1351686003
Total Pages : 637 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics by : Roshdi Rashed

Download or read book Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2017-07-20 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ibn al-Haytham’s Completion of the Conics

Author : J.P. Hogendijk
Publisher : Springer Science & Business Media
ISBN 13 : 147574059X
Total Pages : 425 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Ibn al-Haytham’s Completion of the Conics by : J.P. Hogendijk

Download or read book Ibn al-Haytham’s Completion of the Conics written by J.P. Hogendijk and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arabian text with English translation and commentary

The Arts of Ornamental Geometry

Author :
Publisher : BRILL
ISBN 13 : 9004315209
Total Pages : 382 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis The Arts of Ornamental Geometry by :

Download or read book The Arts of Ornamental Geometry written by and published by BRILL. This book was released on 2017-08-28 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Classical Mathematics from Al-Khwarizmi to Descartes

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1317622391
Total Pages : 768 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis Classical Mathematics from Al-Khwarizmi to Descartes by : Roshdi Rashed

Download or read book Classical Mathematics from Al-Khwarizmi to Descartes written by Roshdi Rashed and published by Routledge. This book was released on 2014-08-21 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.

Baghdad and Isfahan

Author : Elaheh Kheirandish
Publisher : Bloomsbury Publishing
ISBN 13 : 0755635086
Total Pages : 313 pages
Book Rating : 4.7/5 (556 download)

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Book Synopsis Baghdad and Isfahan by : Elaheh Kheirandish

Download or read book Baghdad and Isfahan written by Elaheh Kheirandish and published by Bloomsbury Publishing. This book was released on 2021-04-22 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned as great centres of learning, the cities of Baghdad and Isfahan were at the heart of the Islamic civilization as rich capital cities and centres of intellectual thought. Their distinct cultural voices inspired a unique historical dialogue, which finds new expression in Baghdad and Isfahan, the story of how knowledge was transmitted and transformed within Islamic lands, and then spread across Europe. Capturing the history of Baghdad and Isfahan from 750 to 1750, Elaheh Kheirandish draws on the voices of court astronomers, mathematicians, scientists, mystics, jurists, statesmen and Arabic and Persian translators and scholars to document the extensive and lasting contribution of sciences from Islamic lands to the history of science. Kheirandish bases her narrative on a unique medieval manuscript and other historical sources and the result is more than a thousand-year 'tale of two cities' – it is a city by city, and century by century, look at what it took to change the world. In a feat of travelogue and time travel, this unique book creates parallel stories with modern and historical characters, crossing cities worldwide, and capturing changes through time. Interweaving multiple narratives, histories, and futures, she charts the possible paths – formalized and serendipitous, lost and recovered – by which knowledge itself is translated and transmitted across time and cultures.

Menelaus' ›Spherics‹

Author : Roshdi Rashed
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571420
Total Pages : 888 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Menelaus' ›Spherics‹ by : Roshdi Rashed

Download or read book Menelaus' ›Spherics‹ written by Roshdi Rashed and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Philosophers and Mathematics

Author : Hassan Tahiri
Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 357 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Philosophers and Mathematics by : Hassan Tahiri

Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

The City in the Muslim World

Author : Mohammad Gharipour
Publisher : Routledge
ISBN 13 : 1317548221
Total Pages : 333 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis The City in the Muslim World by : Mohammad Gharipour

Download or read book The City in the Muslim World written by Mohammad Gharipour and published by Routledge. This book was released on 2015-03-05 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Routledge Revivals: Medieval Islamic Civilization (2006)

Author : Josef Meri
Publisher : Routledge
ISBN 13 : 1351668137
Total Pages : 1238 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Routledge Revivals: Medieval Islamic Civilization (2006) by : Josef Meri

Download or read book Routledge Revivals: Medieval Islamic Civilization (2006) written by Josef Meri and published by Routledge. This book was released on 2018-01-12 with total page 1238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Islamic civilization flourished in the Middle Ages across a vast geographical area that spans today's Middle and Near East. First published in 2006, Medieval Islamic Civilization examines the socio-cultural history of the regions where Islam took hold between the 7th and 16th centuries. This important two-volume work contains over 700 alphabetically arranged entries, contributed and signed by international scholars and experts in fields such as Arabic languages, Arabic literature, architecture, history of science, Islamic arts, Islamic studies, Middle Eastern studies, Near Eastern studies, politics, religion, Semitic studies, theology, and more. Entries also explore the importance of interfaith relations and the permeation of persons, ideas, and objects across geographical and intellectual boundaries between Europe and the Islamic world. This reference work provides an exhaustive and vivid portrait of Islamic civilization and brings together in one authoritative text all aspects of Islamic civilization during the Middle Ages. Accessible to scholars, students and non-specialists, this resource will be of great use in research and understanding of the roots of today's Islamic society as well as the rich and vivid culture of medieval Islamic civilization.

Ethics in Islam

Author : Nuha Al-Shaar
Publisher : Routledge
ISBN 13 : 1317575849
Total Pages : 267 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Ethics in Islam by : Nuha Al-Shaar

Download or read book Ethics in Islam written by Nuha Al-Shaar and published by Routledge. This book was released on 2014-12-05 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Poetics of Ancient and Classical Arabic Literature

Author : Esad Durakovic
Publisher : Routledge
ISBN 13 : 1317520491
Total Pages : 296 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis The Poetics of Ancient and Classical Arabic Literature by : Esad Durakovic

Download or read book The Poetics of Ancient and Classical Arabic Literature written by Esad Durakovic and published by Routledge. This book was released on 2015-04-24 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Legal Authority in Premodern Islam

Author : Fachrizal A. Halim
Publisher : Routledge
ISBN 13 : 1317749189
Total Pages : 151 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Legal Authority in Premodern Islam by : Fachrizal A. Halim

Download or read book Legal Authority in Premodern Islam written by Fachrizal A. Halim and published by Routledge. This book was released on 2014-11-20 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.