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Book Textual Studies in Ancient and Medieval Geometry

Download or read book Textual Studies in Ancient and Medieval Geometry written by W.R. Knorr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.

Book Textual Studies in Ancient and Medieval Geometry

Download or read book Textual Studies in Ancient and Medieval Geometry written by Wilbur Richard Knorr and published by . This book was released on 1989-01-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Greek Pursuit of Knowledge

Download or read book The Greek Pursuit of Knowledge written by Pierre Pellegrin and published by Harvard University Press. This book was released on 2003 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient Greek thought is the essential wellspring from which the intellectual, ethical, and political civilization of the West draws and to which, even today, we repeatedly return. In this volume drawn from the reference work Greek Thought: A Guide to Classical Knowledge, major scholars take up basic topics in philosophy and science, offering an account of the extraordinary explosion of desire for knowledge in the classical Greek world.

Book On Pythagoreanism

    Book Details:
  • Author : Gabriele Cornelli
  • Publisher : Walter de Gruyter
  • Release : 2013-10-29
  • ISBN : 3110318504
  • Pages : 552 pages

Download or read book On Pythagoreanism written by Gabriele Cornelli and published by Walter de Gruyter. This book was released on 2013-10-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the conference “On Pythagoreanism”, held in Brasilia in 2011, was to bring together leading scholars from all over the world to define the status quaestionis for the ever-increasing interest and research on Pythagoreanism in the 21st century. The papers included in this volume exemplify the variety of topics and approaches now being used to understand the polyhedral image of one of the most fascinating and long-lasting intellectual phenomena in Western history. Cornelli’s paper opens the volume by charting the course of Pythagorean studies over the past two centuries. The remaining contributions range chronologically from Pythagoras and the early Pythagoreans of the archaic period (6th-5th centuries BCE) through the classical, hellenistic and late antique periods, to the eighteenth century. Thematically they treat the connections of Pythagoreanism with Orphism and religion, with mathematics, metaphysics and epistemology and with politics and the Pythagorean way of life.

Book Synopsis  An Annual Index of Greek Studies  1993  3

Download or read book Synopsis An Annual Index of Greek Studies 1993 3 written by Andrew D. Dimarogonas and published by CRC Press. This book was released on 1998-10-28 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents 12,860 entries listing scholarly publications on Greek studies. Research and review journals, books, and monographs are indexed in the areas of classical, Hellenistic, Biblical, Byzantine, Medieval, and modern Greek studies., but no annotations are included. After the general listings, entries are also indexed by journal, text, name, geography, and subject. The CD-ROM contains an electronic version of the book. Annotation copyrighted by Book News, Inc., Portland, OR

Book Tradition  Transmission  Transformation

Download or read book Tradition Transmission Transformation written by Ragep and published by BRILL. This book was released on 2023-09-20 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.

Book Simplicius  On Aristotle Physics 1   8

Download or read book Simplicius On Aristotle Physics 1 8 written by and published by Bloomsbury Publishing. This book was released on 2022-04-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting the twelve volumes of translation of Simplicius' great commentary on Aristotle's Physics, all published by Bloomsbury in the Ancient Commentators on Aristotle series, between 1992 and 2021, this volume presents a general introduction to the commentary. It covers the philosophical aims of Simplicius' commentaries on the Physics and the related text On the Heaven; Simplicius' methods and his use of earlier sources; and key themes and comparison with Philoponus' commentary on the same text. Simplicius treats the Physics as a universal study of the principles of all natural things underlying the account of the cosmos in On the Heaven. In both treatises, he responds at every stage to the now lost Peripatetic commentaries of Alexander of Aphrodisias, which set Aristotle in opposition to Plato and to earlier thinkers such as Parmenides, Empedocles and Anaxagoras. On each passage, Simplicius after going through Alexander's commentary raises difficulties for the text of Aristotle as interpreted by Alexander. Then, after making observations about details of the text, and often going back to a direct reading of the older philosophers (for whom he is now often our main source, as he is for Alexander's commentary), he proposes his own solution to the difficulties, introduced with a modest 'perhaps', which reads Aristotle as in harmony with Plato and earlier thinkers.

Book Medieval Science  Technology  and Medicine

Download or read book Medieval Science Technology and Medicine written by Thomas F. Glick and published by Routledge. This book was released on 2014-01-27 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. Coverage includes inventions, discoveries, concepts, places and fields of study, regions, and significant contributors to various fields of science. There are also entries on South-Central and East Asian science. This reference work provides an examination of medieval scientific tradition as well as an appreciation for the relationship between medieval science and the traditions it supplanted and those that replaced it. For a full list of entries, contributors, and more, visit the Routledge Encyclopedias of the Middle Ages website.

Book The Geometry of Domains in Space

Download or read book The Geometry of Domains in Space written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans lations-have both shaped and guided this development. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. Much modern work in analysis takes place on a domain in space. In this context the tools, perforce, must be different. No longer can we expect there to be symmetries. Correspondingly, there is no longer any natural way to apply the Fourier transform. Pseudodifferential operators and Fourier integral operators can playa role in solving some of the problems, but other problems require new, more geometric, ideas. At a more basic level, the analysis of a smoothly bounded domain in space requires a great deal of preliminary spadework. Tubular neighbor hoods, the second fundamental form, the notion of "positive reach", and the implicit function theorem are just some of the tools that need to be invoked regularly to set up this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain. Many of the ideas in partial differential equations-such as Egorov's canonical transformation theorem-become rather natural when viewed in geometric language. Many of the questions that are natural to an analyst-such as extension theorems for various classes of functions-are most naturally formulated using ideas from geometry.

Book A Companion to Twelfth Century Schools

Download or read book A Companion to Twelfth Century Schools written by Cédric Giraud and published by BRILL. This book was released on 2019-11-11 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Companion to Twelfth-Century Schools provides a comprehensive update and new synthesis of the last three decades of research. The fruit of a contemporary renewal of cultural history among international scholars of medieval studies, this collection draws on the discovery of new texts, the progress made in critical attribution, the growing attention given to the conditions surrounding the oral and written dissemination of works, the use of the notion of a “community of learning”, the reinterpretation of the relations between the cloister and the urban school, and links between institutional history and social history. Contributors are: Alexander Andrée, Irene Caiazzo, Cédric Giraud, Frédéric Goubier, Danielle Jacquart, Thierry Kouamé, Constant J. Mews, Ken Pennington, Dominique Poirel, Irène Rosier-Catach, Sita Steckel, Jacques Verger, and Olga Weijers. See inside the book.

Book Hellenistic Science at Court

    Book Details:
  • Author : Marquis Berrey
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 2017-09-11
  • ISBN : 3110541939
  • Pages : 282 pages

Download or read book Hellenistic Science at Court written by Marquis Berrey and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-11 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of science in the modern world is often held to depend on such institutions as universities, peer-reviewed journals, and democracy. How, then, did new science emerge in the pre-modern culture of the Hellenistic Egyptian monarchy? Berrey argues that the court society formed around the Ptolemaic pharaohs Ptolemy III and IV (reigned successively 246-205/4 BCE) provided an audience for cross-disciplinary, learned knowledge, as physicians, mathematicians, and mechanicians clothed themselves in the virtues of courtiers attendant on the kings. The multicultural Greco-Egyptian court society prized entertainment that drew on earlier literature, mixed genres and cultures, and highlighted motion and sound. New cross-disciplinary science in the Hellenistic period gained its social currency and subsequent scientific success through its entertainment value as court science. Ancient court science sheds light on the long history of scientific interdisciplinarity.

Book Greek Thought

    Book Details:
  • Author : Jacques Brunschwig
  • Publisher : Harvard University Press
  • Release : 2000
  • ISBN : 9780674002616
  • Pages : 1084 pages

Download or read book Greek Thought written by Jacques Brunschwig and published by Harvard University Press. This book was released on 2000 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: In more than 60 essays by an international team of scholars, this volume explores the full breadth and reach of Greek thought, investigating what the Greeks knew as well as what they thought they knew, and what they believed, invented, and understood about the possibilities of knowing. 65 color illustrations. Maps.

Book Routledge Handbook on the Sciences in Islamicate Societies

Download or read book Routledge Handbook on the Sciences in Islamicate Societies written by Sonja Brentjes and published by Taylor & Francis. This book was released on 2023-01-24 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book The Works of Archimedes  Volume 1  The Two Books On the Sphere and the Cylinder

Download or read book The Works of Archimedes Volume 1 The Two Books On the Sphere and the Cylinder written by Archimedes and published by Cambridge University Press. This book was released on 2004-04-08 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 of the first authoritative translation of Archimedes' works into English.

Book The Cambridge History of Hellenistic Philosophy

Download or read book The Cambridge History of Hellenistic Philosophy written by Keimpe Algra and published by Cambridge University Press. This book was released on 1999-12-09 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: A full account of the philosophy of the Greek and Roman worlds from the last days of Aristotle (c.320 BC) until 100 BC. Hellenistic philosophy, for long relatively neglected and unappreciated, has over the last decade been the object of a considerable amount of scholarly attention. Now available in paperback, this 1999 volume is a general reference work which pulls the subject together and presents an overview. The History is organised by subject, rather than chronologically or by philosophical school, with sections on logic, epistemology, physics and metaphysics, ethics and politics. It has been written by specialists but is intended to be a source of reference for any student of ancient philosophy, for students of classical antiquity and for students of the philosophy of later periods. Greek and Latin are used sparingly and always translated in the main text.

Book The Cambridge History of Philosophy of the Scientific Revolution

Download or read book The Cambridge History of Philosophy of the Scientific Revolution written by David Marshall Miller and published by Cambridge University Press. This book was released on 2022-01-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The early modern era produced the Scientific Revolution, which originated our present understanding of the natural world. Concurrently, philosophers established the conceptual foundations of modernity. This rich and comprehensive volume surveys and illuminates the numerous and complicated interconnections between philosophical and scientific thought as both were radically transformed from the late sixteenth to the mid-eighteenth century. The chapters explore reciprocal influences between philosophy and physics, astronomy, mathematics, medicine, and other disciplines, and show how thinkers responded to an immense range of intellectual, material, and institutional influences. The volume offers a unique perspicuity, viewing the entire landscape of early modern philosophy and science, and also marks an epoch in contemporary scholarship, surveying recent contributions and suggesting future investigations for the next generation of scholars and students.

Book Alfonso s Rectifying the Curved

Download or read book Alfonso s Rectifying the Curved written by Ruth Glasner and published by Springer Nature. This book was released on 2020-11-26 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.