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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.
This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world's foremost authorities.
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.
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.
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.
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.
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.
Moral Rationalism and Sharī'a is the first attempt at outlining the scope for a theological reading of Sharī'a, based on a critical examination of why 'Adliyya theological ethics have not significantly impacted Shī'ī readings of Sharī'a. Within Shī'ī works of Sharī 'a legal theory (usūl al-fiqh) there is a theoretical space for reason as an independent source of normativity alongside the Qur’ān and the Prophetic tradition. The position holds that humans are capable of understanding moral values independently of revelation. Describing themselves as 'Adliyya (literally the people of Justice), this allows the Shī 'a, who describe themselves as 'Adiliyya (literally, the People of Justice), to attribute a substantive rational conception of justice to God, both in terms of His actions and His regulative instructions. Despite the Shī'ī adoption of this moral rationalism, independent judgments of rational morality play little or no role in the actual inference of Sharī 'a norms within mainstream contemporary Shī'ī thought. Through a close examination of the notion of independent rationality as a source in modern Shī'ī usūl al-fiqh, the obstacles preventing this moral rationalism from impacting the understanding of Sharī 'a are shown to be purely epistemic. In line with the ‘emic’ (insider) approach adopted, these epistemic obstacles are revisited identifying the scope for allowing a reading of Sharī'a that is consistent with the fundamental moral rationalism of Shī'ī thought. It is argued that judgments of rational morality, even when not definitively certain, cannot be ignored in the face of the apparent meaning of texts that are themselves also not certain. An 'Adliyya reading of Sharī'a demands that the strength of independent rational evidence be reconciled against the strength of any other apparently conflicting evidence, such that independent judgments of rational morality act as a condition for the validity of precepts attributed to a just and moral God.
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.
Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.