Ibn al-Haytham and Analytical Mathematics

Ibn al-Haytham and Analytical Mathematics PDF Author: Roshdi Rashed
Publisher: Routledge
ISBN: 1136191070
Category : History
Languages : en
Pages : 438

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Book Description
This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences in the mediaeval Arab world. The second of five comprehensive volumes, this book offers a detailed exploration of Arabic mathematics in the eleventh century as embodied in the legacy of the celebrated polymath al-Hasan ibn al-Haytham. Extensive analyses and annotations from the eminent scholar, Roshdi Rashed, support a number of key Arabic texts from Ibn al-Haytham’s treatises in infinitesimal mathematics, translated here into English for the first time. Rashed shows how Ibn al-Haytham’s works demonstrate a remarkable mathematical competence in mathematical subjects like the quadrature of the circle and of lunes, the calculation of the volumes of paraboloids, the problem of isoperimetric plane figures and solid figures with equal surface areas, along with the extraction of square and cubic roots. The present text is complemented by the first volume of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries Archimedean-Apollonian mathematical ‘School of Baghdad’. This constellation of works illustrates the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. 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 and mathematicians at the most advanced levels of research.

Ibn al-Haytham and Analytical Mathematics

Ibn al-Haytham and Analytical Mathematics PDF Author: Roshdi Rashed
Publisher: Routledge
ISBN: 1136191070
Category : History
Languages : en
Pages : 438

Get Book Here

Book Description
This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences in the mediaeval Arab world. The second of five comprehensive volumes, this book offers a detailed exploration of Arabic mathematics in the eleventh century as embodied in the legacy of the celebrated polymath al-Hasan ibn al-Haytham. Extensive analyses and annotations from the eminent scholar, Roshdi Rashed, support a number of key Arabic texts from Ibn al-Haytham’s treatises in infinitesimal mathematics, translated here into English for the first time. Rashed shows how Ibn al-Haytham’s works demonstrate a remarkable mathematical competence in mathematical subjects like the quadrature of the circle and of lunes, the calculation of the volumes of paraboloids, the problem of isoperimetric plane figures and solid figures with equal surface areas, along with the extraction of square and cubic roots. The present text is complemented by the first volume of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries Archimedean-Apollonian mathematical ‘School of Baghdad’. This constellation of works illustrates the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. 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 and mathematicians at the most advanced levels of research.

Ibn Al-Haytham and Analytical Mathematics

Ibn Al-Haytham and Analytical Mathematics PDF Author: Roshdi Rashed
Publisher: Routledge
ISBN: 9781138109131
Category :
Languages : en
Pages : 450

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Book Description
This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences from the mediaeval Arab world. It also includes extensive commentary from one of the world's foremost authorities in the field of Arabic sciences and philosophy, the eminent scholar Roshdi Rashed, who illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century.

Ibn Al-Haytham

Ibn Al-Haytham PDF Author: Bradley Steffens
Publisher: Morgan Reynolds Publishing
ISBN: 9781599350240
Category : Scientists
Languages : en
Pages : 0

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Book Description
Ibn al-Haytham, a devout Muslim, was a pioneer in several scientific and mathematical fields, including physics, optics, optics, astronomy, and analytical geometry. He discovered the first law of motion centuries before Galileo, and he was committed to a scientific method based on observation, hypothesis, and testing.

Optics in Our Time

Optics in Our Time PDF Author: Mohammad D. Al-Amri
Publisher: Springer
ISBN: 3319319035
Category : Science
Languages : en
Pages : 509

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Book Description
Light and light based technologies have played an important role in transforming our lives via scientific contributions spanned over thousands of years. In this book we present a vast collection of articles on various aspects of light and its applications in the contemporary world at a popular or semi-popular level. These articles are written by the world authorities in their respective fields. This is therefore a rare volume where the world experts have come together to present the developments in this most important field of science in an almost pedagogical manner. This volume covers five aspects related to light. The first presents two articles, one on the history of the nature of light, and the other on the scientific achievements of Ibn-Haitham (Alhazen), who is broadly considered the father of modern optics. These are then followed by an article on ultrafast phenomena and the invisible world. The third part includes papers on specific sources of light, the discoveries of which have revolutionized optical technologies in our lifetime. They discuss the nature and the characteristics of lasers, Solid-state lighting based on the Light Emitting Diode (LED) technology, and finally modern electron optics and its relationship to the Muslim golden age in science. The book’s fourth part discusses various applications of optics and light in today's world, including biophotonics, art, optical communication, nanotechnology, the eye as an optical instrument, remote sensing, and optics in medicine. In turn, the last part focuses on quantum optics, a modern field that grew out of the interaction of light and matter. Topics addressed include atom optics, slow, stored and stationary light, optical tests of the foundation of physics, quantum mechanical properties of light fields carrying orbital angular momentum, quantum communication, and Wave-Particle dualism in action.

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

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

Classical Mathematics from Al-Khwarizmi to Descartes

Classical Mathematics from Al-Khwarizmi to Descartes PDF 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.

The Poetics of Ancient and Classical Arabic Literature

The Poetics of Ancient and Classical Arabic Literature PDF 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.

Routledge Revivals: Medieval Islamic Civilization (2006)

Routledge Revivals: Medieval Islamic Civilization (2006) PDF 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.

Menelaus' ›Spherics‹

Menelaus' ›Spherics‹ PDF Author: Roshdi Rashed
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110569876
Category : Philosophy
Languages : en
Pages : 853

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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.

Science and Religion in Mamluk Egypt

Science and Religion in Mamluk Egypt PDF Author: Nahyan Fancy
Publisher: Routledge
ISBN: 1136703683
Category : History
Languages : en
Pages : 227

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Book Description
The discovery of the pulmonary transit of blood was a ground-breaking discovery in the history of the life sciences, and a prerequisite for William Harvey’s fully developed theory of blood circulation three centuries later. This book is the first attempt at understanding Ibn al-Nafīs’s anatomical discovery from within the medical and theological works of this thirteenth century physician-jurist, and his broader social, religious and intellectual contexts. Although Ibn al-Nafīs did not posit a theory of blood circulation, he nevertheless challenged the reigning Galenic and Avicennian physiological theories, and the then prevailing anatomical understandings of the heart. Far from being a happy guess, Ibn al-Nafīs’s anatomical result is rooted in an extensive re-evaluation of the reigning medical theories. Moreover, this book shows that Ibn al-Nafīs’s re-evaluation is itself a result of his engagement with post-Avicennian debates on the relationship between reason and revelation, and the rationality of traditionalist beliefs, such as bodily resurrection. Breaking new ground by showing how medicine, philosophy and theology were intertwined in the intellectual fabric of pre-modern Islamic societies, Science and Religion in Mamluk Egypt will be of interest to students and scholars of the History of Science, the History of Medicine and Islamic Studies.