Author: W.R. Knorr
Publisher: Springer Science & Business Media
ISBN: 1461236908
Category : Mathematics
Languages : en
Pages : 850
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Book Description
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.
Author: Wilbur Richard Knorr
Publisher:
ISBN: 9783764333874
Category : Geometry
Languages : en
Pages : 852
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Book Description
Author: Pierre Pellegrin
Publisher: Harvard University Press
ISBN: 9780674021556
Category : History
Languages : en
Pages : 420
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Book Description
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.
Author: Gabriele Cornelli
Publisher: Walter de Gruyter
ISBN: 3110318504
Category : Philosophy
Languages : en
Pages : 552
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Book Description
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.
Author: Andrew D. Dimarogonas
Publisher: CRC Press
ISBN: 9789057025624
Category : Social Science
Languages : en
Pages : 510
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Book Description
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
Author: Ragep
Publisher: BRILL
ISBN: 9004625747
Category : Architecture
Languages : en
Pages : 625
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Book Description
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.
Author:
Publisher: Bloomsbury Publishing
ISBN: 1350286648
Category : Philosophy
Languages : en
Pages : 177
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Book Description
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.
Author: Thomas F. Glick
Publisher: Routledge
ISBN: 1135459320
Category : History
Languages : en
Pages : 625
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Book Description
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.
Author: Cédric Giraud
Publisher: BRILL
ISBN: 9004410139
Category : Education
Languages : en
Pages : 342
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Book Description
A nuanced introduction to the schools of the 12th century, insisting on the fertile confluence between ancient knowledge and new techniques and on the interaction between masters and pupils.
Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 1461215749
Category : Mathematics
Languages : en
Pages : 311
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Book Description
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.
