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Apollonius of Perga's Conica by Michael Fried,Sabetai Unguru Pdf
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.
Author : Paul A. Calter,Michael A. Calter Publisher : John Wiley & Sons Page : 836 pages File Size : 40,9 Mb Release : 2011-03-22 Category : Mathematics ISBN : 9780470534922
Technical Mathematics by Paul A. Calter,Michael A. Calter Pdf
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.
Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics by Michael N. Fried Pdf
Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.
A first English translation of Book IV of Apollonius's Conics, translated and annotated by Michael N. Fried, as a companion volume to our edition of Conics Books I-III. Conics IV deals with the way pairs of conic sections can intersect or touch each other. In his Introduction to the translation, Fried shows that this book has been misappraised by scholars too much inclined to see Apollonius's work merely as a precursor to the analytic geometry of the seventeenth century. He writes, Playfulness is one of the real delights of Book IV. One can see in this playfulness the artful way Apollonius contends with the main challenge of the book -the problem of how the opposite sections, specifically, meet other sections of a cone and other opposite sections - how he gives this problem both foundation and context."
Author : Paul T. Keyser,Georgia L. Irby-Massie Publisher : Taylor & Francis Page : 1073 pages File Size : 49,7 Mb Release : 2008-11-19 Category : History ISBN : 9781134298037
Encyclopedia of Ancient Natural Scientists by Paul T. Keyser,Georgia L. Irby-Massie Pdf
The Encyclopedia of Ancient Natural Scientists is the first comprehensive English language work to provide a survey of all ancient natural science, from its beginnings through the end of Late Antiquity. A team of over 100 of the world’s experts in the field have compiled this Encyclopedia, including entries which are not mentioned in any other reference work – resulting in a unique and hugely ambitious resource which will prove indispensable for anyone seeking the details of the history of ancient science. Additional features include a Glossary, Gazetteer, and Time-Line. The Glossary explains many Greek (or Latin) terms difficult to translate, whilst the Gazetteer describes the many locales from which scientists came. The Time-Line shows the rapid rise in the practice of science in the 5th century BCE and rapid decline after Hadrian, due to the centralization of Roman power, with consequent loss of a context within which science could flourish.
"Neither Letters nor Swimming": The Rebirth of Swimming and Free-diving by John M. McManamon Pdf
In "Neither Letters nor Swimming": The Rebirth of Swimming and Free-diving, John McManamon documents the revival of interest in swimming during the European Renaissance and its conceptualization as an art. Renaissance scholars realized that the ancients considered one truly ignorant who knew “neither letters nor swimming.”
This volume explores the literary representation of male sexual dysfunction and discusses the natural and supernatural elements of an ancient folk medical system based on conceptual associations between male sexuality and specific plants, animals and minerals. The work incorporates material from both literary and scientific sources to draw parallels between ancient and modern paradigms of healing. The literary depiction of attempts to remedy impotence demonstrates how an accessibility to cures contributes to the sexual and social reintegration of the sufferer. The Satyrica of Petronius echoes this process by means of the text itself and so effects similar ends. The book provides new insights into literature and the ancient belief systems underlying it with its original and integrative approach to disciplines such as philology, botany, mineralogy, zoology and medicine.
Hellenistic Astronomy by Alan C. Bowen,Francesca Rochberg Pdf
In Hellenistic Astronomy: The Science in Its Contexts, renowned scholars address questions about what the ancient science of the heavens was and the numerous contexts in which it was pursued.
This book demonstrates the importance of Greek medical thought in the work of Euripides. Part I shows the significance of the healing figure in Euripidean drama; Part II analyzes the role of traditional and rationalist remedies in the construction of Euripidean plots and arguments.
The History of Mathematical Proof in Ancient Traditions by Karine Chemla Pdf
This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
On Theriac to Piso, Attributed to Galen by Robert Leigh Pdf
Robert Leigh offers a critical edition with translation into English, commentary and introduction of the pharmacological treatise On Theriac to Piso traditionally attributed to Galen, and reviews the evidence as to the validity of the attribution to Galen.
Pappus of Alexandria: Book 4 of the Collection by Heike Sefrin-Weis Pdf
Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition, notes to facilitate understanding of the steps in the mathematical argument, a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work, bibliographical references for further study.