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.

Optics in Our Time
Optics in Our Time

Author: Mohammad D. Al-Amri

Publisher: Springer

Published: 2016-12-12

Total Pages: 509

ISBN-13: 3319319035

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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.

On Both Sides of the Strait of Gibraltar
On Both Sides of the Strait of Gibraltar

Author: Julio Samsó

Publisher: BRILL

Published: 2020-09-25

Total Pages: 1027

ISBN-13: 9004436588

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In On Both Sides of the Strait of Gibraltar Julio Samsó shows that astronomical sources, written in al-Andalus, the Maghrib and the Iberian Peninsula, belong to the same tradition and emphasizes the role of al-Andalus and the Iberian Peninsula in the transmission of Islamic astronomy to medieval Europe.

Routledge Revivals: Medieval Islamic Civilization (2006)
Routledge Revivals: Medieval Islamic Civilization (2006)

Author: Josef Meri

Publisher: Routledge

Published: 2018-01-12

Total Pages: 1238

ISBN-13: 1351668137

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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.

Mathematics and Physics in Classical Islam
Mathematics and Physics in Classical Islam

Author: Giovanna Lelli

Publisher: BRILL

Published: 2022-05-20

Total Pages: 240

ISBN-13: 900451340X

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This volume highlights the scientific advances and ruptures of classical Islam with respect to Hellenism, and the emergence of a new mathematical rationality and a new relationship between mathematics and physics, from a comparative synchronic and diachronic perspective.

Classical Mathematics from Al-Khwarizmi to Descartes
Classical Mathematics from Al-Khwarizmi to Descartes

Author: Roshdi Rashed

Publisher: Routledge

Published: 2014-08-21

Total Pages: 621

ISBN-13: 1317622383

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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.

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.

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.