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 Treatise on Conic Sections written by Apollonius (of Perga.) and published by . This book was released on 1896 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Conic Books I IV written by Apollonius of Perga and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A single volume that combines Conics Books I-III and Conics Book IV (both by Apollonius of Perga). It supersedes the two-volume edition.
Download or read book Technical Mathematics written by Paul A. Calter and published by John Wiley & Sons. This book was released on 2011-03-22 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Conics written by Apollonius (of Perga.) and published by . This book was released on 2002 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Download or read book Insights and Manipulations written by Harvey Flaumenhaft and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past becomes a source of wisdom when the scientific quest for uncovering the roots of things is combined with the humanistic endeavor to make the dead letter come alive in a thoughtful mind. Vague attempts at being "interdisciplinary," by contrast, merely provide excuses to avoid examining the words set down by the scientific thinkers themselves. If we love wisdom in its wholeness, we must explore the sources of the things that we now take for granted: we must think through the records of the thinking that has demarcated the various fields of study and envisioned what's to be investigated within them and how it's to be done. But where shall we start looking for points of view to help us consider what learning is, and what learning has to do with how we live within our world? We couldn't do better than to climb the two peaks that constitute the subject of this book. these are the classical geometry in which Apollonius presented the conic sections, and that modern transformation over which Descartes presided at its inception. In this effort, a useful link between our two primary texts is provided by examining some work done by Diophantus, by Pappus, and by Vi te. While the study of these writings is a formidable enterprise indeed, the two volumes of Insights and Manipulations, offering clear guidance and abundant help, greatly alleviate the requisite labor.
Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Hellenistic Astronomy written by Alan C. Bowen and published by BRILL. This book was released on 2020-02-17 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book 5000 Years of Geometry written by Christoph J. Scriba and published by Birkhäuser. This book was released on 2015-04-22 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)
Download or read book Neither Letters nor Swimming The Rebirth of Swimming and Free diving written by John M. McManamon and published by BRILL. This book was released on 2021-03-01 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.”
Download or read book Heroic Measures written by Jennifer Kosak and published by BRILL. This book was released on 2018-07-17 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the importance of Greek medical thought in the work of Euripides. The first part of the book argues for the significance of the healing figure in Euripidean drama, while the second part analyzes the role of traditional and rationalist healing strategies in the construction of Euripidean plots and arguments. The work will be of interest to those pursuing studies in Greek drama, Greek intellectual history and Greek medicine.
Download or read book Pappus of Alexandria Book 4 of the Collection written by Heike Sefrin-Weis and published by Springer Science & Business Media. This book was released on 2010-04-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nicander of Colophon s Theriaca written by Floris Overduin and published by BRILL. This book was released on 2014-11-06 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: In modern times the Theriaca of Nicander of Colophon (2nd century BCE) has not attracted many enthusiasts. Its complicated style, abstruse diction and technical subject matter – venomous bites and their remedies – have long put off classical scholars. In the wake of renewed interest in Hellenistic poetry, however, Nicander’s dark poetry deserves new appreciation. In this book Floris Overduin provides a literary commentary on the Theriaca, focusing on Nicander’s artistic merits. Viewed against the background of Alexandrian aesthetics and the didactic epic tradition, Nicander deserves pride of place among his Hellenistic peers. This book, the first full commentary in English, may thus contribute to the reappraisal of Nicander’s Theriaca as a work of literature, not science.
Download or read book The Topkapi Scroll written by Gülru Necipoğlu and published by Getty Publications. This book was released on 1996-03-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.
Download or read book Paralysin Cave written by John M. McMahon and published by BRILL. This book was released on 2018-07-17 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry written by Audun Holme and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is more important than ever, but phrases like "math avoidance" and "math anxiety" are very much in the public vocabulary. In addition to providing an invitation to mathematics in general, this book emphasizes the dynamic character of geometry and its role as part of the foundation for our cultural heritage. Aimed at an informed public and future teachers of mathematics, it seeks to heal the ills of math phobia in society.
Download or read book Makers of Mathematics written by Stuart Hollingdale and published by Courier Corporation. This book was released on 2006-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each chapter of this portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Fermat, Pascal, Newton, Einstein, and others — to explore the mathematics of his era. Rather than a series of biographical profiles, readers encounter an accessible chronology of pioneering developments in mathematics. 1989 edition.
