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The Development of Arabic Mathematics: Between Arithmetic and Algebra
An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into...
Classical Mathematics from Al-Khwarizmi to Descartes
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 ...
Al-Khwārizmī
The first critical edition of Al-Khwarizmi's Algebra.
Ibn Al-Haytham's Geometrical Methods and the Philosophy of Mathematics
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.
Arabic Theology, Arabic Philosophy
In the course of his career, Professor Richard M. Frank of the Catholic University of America produced a hugely significant corpus of works on the intellectual activity in Classical Islam known as Kalam, which he argued should be rendered as 'speculative theology'. He also wrote on the Qur'an, on the Arabic and Syriac philosophical tradition, and argued vigorously for a new reading of the famous religious scholar and theologian al-Ghazali (d. 1111) as a devotee of the cosmology of Ibn Sina (d. 1037). In this volume, fourteen scholars, many of them contemporaries of Professor Frank, engage with his legacy with important and seminal works which take some of his ideas as their points of departu...
Menelaus' ›Spherics‹
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.
Encyclopedia of the History of Arabic Science
"The Arab contribution is fundamental to the history of science, mathematics and technology, but until now no single publication has offered an up-to-date synthesis of knowledge in this area. In three fully-illustrated volumes the Encyclopedia of the History of Arab Science documents the history and philosophy of Arab science from the earliest times to the present day. Thirty-one chapters, written by an international team of specialists, cover astronomy, mathematics, music, engineering, nautical science, scientific institutions and many other areas. The Encyclopedia is divided into three volumes: 1. Astronomy--Theoretical and applied 2. Mathematics and the Physical Sciences 3. Technology, Alchemy, and the Life Sciences. Extensively illustrated with figures, tables, and plates, each chapter is written by an internationally respected expert, guaranteeing accuracy and quality. Each volume contains an extensive bibliography of sources and suggestions for further reading, and the set is fully indexed. This set will interest mathematicians, engineers and scientists, as well as students of history, the history of science, and Middle Eastern studies."--Publisher's information.
The Philosophers and Mathematics
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 er...
Light-Based Science
This book discusses light-based science, emphasizing its pervasive influence in science, technology, policy, and education. A wide range of contributors offers a comprehensive study of the tremendous, and indeed foundational, contributions of Ibn al Haytham, a scholar from the medieval period. The analysis then moves into the future development of light-based technology. Written as a multi-disciplinary reference book by leading scholars in the history of science and /or photonics, it covers Ibn al Haytham’s optics, LED lighting for sustainable development, global and atomic-scale time with new light sources, advanced technology, and vision science. Cutting-edge optical technologies and their global impact is addressed in detail, and the later chapters also explore challenges with renewable energy, the global impact of photonics, and optical and photonic education technology. Practical examples and illustrations are provided throughout the text.
