Alfonsos Rectifying The Curved
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| Author | : Ruth Glasner |
| Publisher | : Springer Nature |
| Total Pages | : 293 |
| Release | : 2020-11-26 |
| Genre | : Mathematics |
| ISBN | : 3319773038 |
This volume offers a new English translation, introduction, and detailed commentary on Sefer Meyasher 'Aqov, (The Rectifying of the Curved), a 14th-century Hebrew treatise on the foundation of geometry. The book is a mixture of two genres: philosophical discussion and formal, Euclidean-type geometrical writing. A central issue is the use of motion and superposition in geometry, which is analyzed in depth through dialog with earlier Arab mathematicians. The author, Alfonso, was identified by Gita Gluskina (the editor of the 1983 Russian edition) as Alfonso of Valladolid, the converted Jew Abner of Burgos. Alfonso lived in Castile, rather far from the leading cultural centers of his time, but nonetheless at the crossroad of three cultures. He was raised in the Jewish tradition and like many Sephardic Jewish intellectuals was versed in Greek-Arabic philosophy and science. He also had connections with some Christian nobles and towards the end of his life converted to Christianity. Driven by his ambition to solve the problem of the quadrature of the circle, as well as other open geometrical problems, Alfonso acquired surprisingly wide knowledge and became familiar with several episodes in Greek and Arabic geometry that historians usually consider not to have been known in the West in the fourteenth century. Sefer Meyasher 'Aqov reflects his wide and deep erudition in mathematics and philosophy, and provides new evidence on cultural transmission around the Mediterranean.
| Author | : Ehud Krinis |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 520 |
| Release | : 2021-10-25 |
| Genre | : Religion |
| ISBN | : 3110702266 |
In his academic career, that by now spans six decades, Daniel J. Lasker distinguished himself by the wide range of his scholarly interests. In the field of Jewish theology and philosophy he contributed significantly to the study of Rabbinic as well as Karaite authors. In the field of Jewish polemics his studies explore Judeo-Arabic and Hebrew texts, analyzing them in the context of their Christian and Muslim backgrounds. His contributions refer to a wide variety of authors who lived from the 9th century to the 18th century and beyond, in the Muslim East, in Muslin and Christian parts of the Mediterranean Sea, and in west and east Europe. This Festschrift for Daniel J. Lasker consists of four parts. The first highlights his academic career and scholarly achievements. In the three other parts, colleagues and students of Daniel J. Lasker offer their own findings and insights in topics strongly connected to his studies, namely, intersections of Jewish theology and Biblical exegesis with the Islamic and Christian cultures, as well as Jewish-Muslim and Jewish-Christian relations. Thus, this wide-scoped and rich volume offers significant contributions to a variety of topics in Jewish Studies.
| Author | : |
| Publisher | : BRILL |
| Total Pages | : 466 |
| Release | : 2023-12-21 |
| Genre | : Philosophy |
| ISBN | : 9004685685 |
The Andalusian Muslim philosopher Averroes (1126–1198) is known for his authoritative commentaries on Aristotle and for his challenging ideas about the relationship between philosophy and religion, and the place of religion in society. Among Jewish authors, he found many admirers and just as many harsh critics. This volume brings together, for the first time, essays investigating Averroes’s complex reception, in different philosophical topics and among several Jewish authors, with special attention to its relation to the reception of Maimonides.
| Author | : Leo Corry |
| Publisher | : Springer Nature |
| Total Pages | : 88 |
| Release | : 2021-11-19 |
| Genre | : Science |
| ISBN | : 3030796795 |
This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.
| Author | : Sonja Brentjes |
| Publisher | : Taylor & Francis |
| Total Pages | : 876 |
| Release | : 2023-01-24 |
| Genre | : History |
| ISBN | : 1351692690 |
The Routledge Handbook on the Sciences in Islamicate Societies provides a comprehensive survey on science in the Islamic world from the 8th to the 19th century. Across six sections, a group of subject experts discuss and analyze scientific practices across a wide range of Islamicate societies. The authors take into consideration several contexts in which science was practiced, ranging from intellectual traditions and persuasions to institutions, such as courts, schools, hospitals, and observatories, to the materiality of scientific practices, including the arts and craftsmanship. Chapters also devote attention to scientific practices of minority communities in Muslim majority societies, and Muslim minority groups in societies outside the Islamicate world, thereby allowing readers to better understand the opportunities and constraints of scientific practices under varying local conditions. Through replacing Islam with Islamicate societies, the book opens up ways to explain similarities and differences between diverse societies ruled by Muslim dynasties. This handbook will be an invaluable resource for both established academics and students looking for an introduction to the field. It will appeal to those involved in the study of the history of science, the history of ideas, intellectual history, social or cultural history, Islamic studies, Middle East and African studies including history, and studies of Muslim communities in Europe and South and East Asia.
| Author | : Victor J. Katz |
| Publisher | : Princeton University Press |
| Total Pages | : 592 |
| Release | : 2016-11-01 |
| Genre | : Mathematics |
| ISBN | : 0691156859 |
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
| Author | : Robert Chazan |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2018-10-31 |
| Genre | : Religion |
| ISBN | : 1108340199 |
Volume 6 examines the history of Judaism during the second half of the Middle Ages. Through the first half of the Middle Ages, the Jewish communities of western Christendom lagged well behind those of eastern Christendom and the even more impressive Jewries of the Islamic world. As Western Christendom began its remarkable surge forward in the eleventh century, this progress had an impact on the Jewish minority as well. The older Jewries of southern Europe grew and became more productive in every sense. Even more strikingly, a new set of Jewries were created across northern Europe, when this undeveloped area was strengthened demographically, economically, militarily, and culturally. From the smallest and weakest of the world's Jewish centers in the year 1000, the Jewish communities of western Christendom emerged - despite considerable obstacles - as the world's dominant Jewish center by the end of the Middle Ages. This demographic, economic, cultural, and spiritual dominance was maintained down into modernity.
| Author | : Kohei Arai |
| Publisher | : Springer Nature |
| Total Pages | : 917 |
| Release | : 2022-07-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3031104676 |
The book, “Intelligent Computing - Proceedings of the 2022 Computing Conference”, is a comprehensive collection of chapters focusing on the core areas of computing and their further applications in the real world. Each chapter is a paper presented at the Computing Conference 2022 held on July 14-15, 2022. Computing 2022 attracted a total of 498 submissions which underwent a double-blind peer-review process. Of those 498 submissions, 179 submissions have been selected to be included in this book. The goal of this conference is to give a platform to researchers with fundamental contributions and to be a premier venue for academic and industry practitioners to share new ideas and development experiences. We hope that readers find this book interesting and valuable as it provides the state-of-the-art intelligent methods and techniques for solving real-world problems. We also expect that the conference and its publications will be a trigger for further related research and technology improvements in this important subject.
| Author | : Faydor L. Litvin |
| Publisher | : Cambridge University Press |
| Total Pages | : 820 |
| Release | : 2004-09-06 |
| Genre | : Technology & Engineering |
| ISBN | : 9781139455558 |
This revised, expanded, edition covers the theory, design, geometry and manufacture of all types of gears and gear drives. This is an invaluable reference for designers, theoreticians, students, and manufacturers. This edition includes advances in gear theory, gear manufacturing, and computer simulation. Among the new topics are: 1. New geometry for modified spur and helical gears, face-gear drives, and cycloidal pumps. 2. New design approaches for one stage planetary gear trains and spiral bevel gear drives. 3. An enhanced approach for stress analysis of gear drives with FEM. 4. New methods of grinding face gear drives, generating double crowned pinions, and improved helical gear shaving. 5. Broad application of simulation of meshing and TCA. 6. New theories on the simulation of meshing for multi-body systems, detection of cases wherein the contact line on generating surfaces may have its own envelope, and detection and avoidance of singularities of generated surfaces.
| Author | : Victor J. Katz |
| Publisher | : Princeton University Press |
| Total Pages | : 720 |
| Release | : 2024-09-17 |
| Genre | : Mathematics |
| ISBN | : 0691202818 |
"In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--
