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

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: 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: Roshdi Rashed
Publisher: Routledge
ISBN: 1317680863
Category : History
Languages : en
Pages : 464

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Book Description
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.

Author: Roshdi Rashed
Publisher: Routledge
ISBN: 1317622383
Category : History
Languages : en
Pages : 621

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Book Description
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.

Author: Roshdi Rashed
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110571420
Category : Philosophy
Languages : en
Pages : 888

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Book Description
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.

Author: Hassan Tahiri
Publisher: Springer
ISBN: 3319937332
Category : Mathematics
Languages : en
Pages : 357

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Book Description
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.

Author: Esad Durakovic
Publisher: Routledge
ISBN: 1317520491
Category : Religion
Languages : en
Pages : 296

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Book Description
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.

Author: Josef Meri
Publisher: Routledge
ISBN: 1351668137
Category : History
Languages : en
Pages : 1238

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Book Description
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.

Author: Elaheh Kheirandish
Publisher: Bloomsbury Publishing
ISBN: 0755635086
Category : History
Languages : en
Pages : 313

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Book Description
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.

Author: Mohammad Gharipour
Publisher: Routledge
ISBN: 1317548221
Category : History
Languages : en
Pages : 333

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Book Description
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.