Download or read book Apollonii Pergaei Quae Graece Exstant Cum Commentariis Antiquis Volume 2 written by Apollonius of Perga and published by Cambridge University Press. This book was released on 2013-06-27 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume collection (1891-3) presents Books 1-4 of Apollonius' classic Greek work on conic sections, with ancient commentaries.

Download or read book Apollonii Pergaei Quae Graece Exstant Cum Commentariis Antiquis Volume 1 written by Apollonius of Perga and published by Cambridge University Press. This book was released on 2013-06-27 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume collection (1891-3) presents Books 1-4 of Apollonius' classic Greek work on conic sections, with ancient commentaries.

Download or read book The Logical Syntax of Greek Mathematics written by Fabio Acerbi and published by Springer Nature. This book was released on 2021-06-21 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to describe Greek mathematics as a literary product, studying its style from a logico-syntactic point of view and setting parallels with logical and grammatical doctrines developed in antiquity. In this way, major philosophical themes such as the expression of mathematical generality and the selection of criteria of validity for arguments can be treated without anachronism. Thus, the book is of interest for both historians of ancient philosophy and specialists in Ancient Greek, in addition to historians of mathematics. This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics; the second expounds in detail the mechanism of "validation"; the third deals with the status of mathematical objects and the problem of mathematical generality; the fourth analyzes the main features of the "deductive machine," i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof; and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well.

Download or read book Shaping the Sciences of the Ancient and Medieval World written by Agathe Keller and published by Springer Nature. This book was released on with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Origin of the History of Science in Classical Antiquity written by Leonid Zhmud and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive study of what remains of the writings of Aristotle's student Eudemus of Rhodes on the history of the exact sciences. These fragments are crucial to our understanding of the content, form, and goal of the Peripatetic historiography of science. The first part of the book presents an analysis of those trends in Presocratic, Sophistic and Platonic thought that contributed to the development of the history of science. The second part provides a detailed study of Eudemus' writings in their relationship with the scientific literature of his time, Aristotelian philosophy and the other historiographic genres practiced at the Lyceum: biography, medical and natural-philosophical doxography. Although Peripatetic historiography of science failed in establishing itself as a continuous genre, it greatly contributed both to the birth of the Arabic medieval historiography of science and to the development of this genre in Europe in the 16th-18th centuries.

Download or read book The Cambridge Ancient History The Hellenistic monarchies and the rise of Rome written by and published by . This book was released on 1928 with total page 1066 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Cambridge Ancient History written by John Bagnell Bury and published by . This book was released on 1928 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Cambridge Ancient History written by and published by . This book was released on 1928 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book List of Books Forming the Reference Library in the Reading Room of the British Museum written by British Museum. Dept. of Printed Books and published by . This book was released on 1910 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book List of Books Forming the Reference in the Reading Room of the British Museum written by British museum and published by . This book was released on 1910 with total page 1174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Apollonius of Perga s Conica written by Michael Fried and published by BRILL. This book was released on 2017-09-18 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.

Download or read book Prolegomena Mathematica written by Jaap Mansfeld and published by BRILL. This book was released on 2016-06-21 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first study to deal with the history of Greek mathematics - starting with Appollonius and including astronomy - as part of the history of literary culture. It attempts to find out how mathematical works were presented by original authors (e.g. Ptolemy), and introduced and explained by commentators (e.g. Pappus who is at the centre of this enquiry, Eutocius, and prolegomena by late Anonymi). The manner in which mathematical treatises were presented and studied is entirely comparable to that practised in e.g. philosophy, medicine, biblical and literary studies (see the author's Prolegomena, (Brill, 1994)). Discussion of introductory issues is a standard feature, and in mathematics the development from the implicitly expressed to the explicitly expressed and from there to scholastic routine is the same as in these other fields.

Download or read book The Cambridge History of Science Volume 1 Ancient Science written by Alexander Jones and published by Cambridge University Press. This book was released on 2018-12-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the highly respected Cambridge History of Science series is devoted to the history of science, medicine and mathematics of the Old World in antiquity. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of ancient science currently available. Together, they reveal the diversity of goals, contexts, and accomplishments in the study of nature in Mesopotamia, Egypt, Greece, Rome, China, and India. Intended to provide a balanced and inclusive treatment of the ancient world, contributors consider scientific, medical and mathematical learning in the cultures associated with the ancient world.

Download or read book Pappus of Alexandria Book 7 of the Collection written by Alexander Jones and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventh book of Pappus's Collection, his commentary on the Domain (or Treasury) of Analysis, figures prominently in the history of both ancient and modern mathematics: as our chief source of information concerning several lost works of the Greek geometers Euclid and Apollonius, and as a book that inspired later mathematicians, among them Viete, Newton, and Chasles, to original discoveries in their pursuit of the lost science of antiquity. This presentation of it is concerned solely with recovering what can be learned from Pappus about Greek mathematics. The main part of it comprises a new edition of Book 7; a literal translation; and a commentary on textual, historical, and mathematical aspects of the book. It proved to be convenient to divide the commentary into two parts, the notes to the text and translation, and essays about the lost works that Pappus discusses. The first function of an edition of this kind is, not to expose new discoveries, but to present a reliable text and organize the accumulated knowledge about it for the reader's convenience. Nevertheless there are novelties here. The text is based on a fresh transcription of Vat. gr. 218, the archetype of all extant manuscripts, and in it I have adopted numerous readings, on manuscript authority or by emendation, that differ from those of the old edition of Hultsch. Moreover, many difficult parts of the work have received little or no commentary hitherto.

Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--

Download or read book Books IV to VII of Diophantus Arithmetica written by Jacques Sesiano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.

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.