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Pappus Of Alexandria And The Mathematics Of Late Antiquity
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Book Synopsis Pappus of Alexandria and the Mathematics of Late Antiquity by : Serafina Cuomo
Download or read book Pappus of Alexandria and the Mathematics of Late Antiquity written by Serafina Cuomo and published by Cambridge University Press. This book was released on 2007-06-21 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the work of a fourth-century AD mathematician and its cultural setting.
Book Synopsis Pappus of Alexandria Book 7 of the Collection by : Alexander Jones
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.
Book Synopsis Pappus of Alexandria: Book 4 of the Collection by : Heike Sefrin-Weis
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.
Book Synopsis Pappus of Alexandria Book 7 of the Collection by : Alexander Jones
Download or read book Pappus of Alexandria Book 7 of the Collection written by Alexander Jones and published by Springer. This book was released on 2012-02-25 with total page 749 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.
Book Synopsis Pappus of Alexandria Book 7 of the Collection by : Alexander Jones
Download or read book Pappus of Alexandria Book 7 of the Collection written by Alexander Jones and published by Springer. This book was released on 1985-12-19 with total page 749 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.
Book Synopsis Ancient Mathematics by : Dietmar Herrmann
Download or read book Ancient Mathematics written by Dietmar Herrmann and published by Springer Nature. This book was released on 2023-01-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. Numerous illustrations and the inclusion of the cultural, political and literary environment provide a great spectrum of the history of mathematical science and a real treasure trove for those seeking biographical and contemporary background knowledge or suggestions for lessons or lectures. The presentation is up-to-date and realizes tendencies of recent historiography. In the new edition, the central chapters on Plato, Aristotle and Alexandria have been updated. The explanations of Greek calculus, mathematical geography and mathematics of the early Middle Ages have been expanded and show new points of view. A completely new addition is a unique illustrated account of Roman mathematics. Also newly included are several color illustrations that successfully illustrate the book's subject matter. With more than 280 images, this volume represents a richly illustrated history book on ancient mathematics.
Download or read book Dressler Hans (1922-?). written by and published by . This book was released on 1942 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Zeitungsausschnitte.
Book Synopsis A New History of Greek Mathematics by : Reviel Netz
Download or read book A New History of Greek Mathematics written by Reviel Netz and published by Cambridge University Press. This book was released on 2022-09 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging and comprehensive history of Greek mathematics, with full attention to social contexts and its place in world history.
Book Synopsis Knowledge Construction in Late Antiquity by : Monika Amsler
Download or read book Knowledge Construction in Late Antiquity written by Monika Amsler and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-04-03 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social Studies of the sciences have long analyzed and exposed the constructed nature of knowledge. Pioneering studies of knowledge production in laboratories (e.g., Latour/Woolgar 1979; Knorr-Cetina 1981) have identified factors that affect processes that lead to the generation of scientific data and their subsequent interpretation, such as money, training and curriculum, location and infrastructure, biography-based knowledge and talent, and chance. More recent theories of knowledge construction have further identified different forms of knowledge, such as tacit, intuitive, explicit, personal, and social knowledge. These theoretical frameworks and critical terms can help reveal and clarify the processes that led to ancient data gathering, information and knowledge production. The contributors use late-antique hermeneutical associations as means to explore intuitive or even tacit knowledge; they appreciate mistakes as a platform to study the value of personal knowledge and its premises; they think about rows and tables, letter exchanges, and schools as platforms of distributed cognition; they consider walls as venues for social knowledge production; and rethink the value of social knowledge in scholarly genealogies—then and now.
Book Synopsis Ancient Mathematics by : Serafina Cuomo
Download or read book Ancient Mathematics written by Serafina Cuomo and published by Routledge. This book was released on 2005-08-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theorem of Pythagoras, Euclid's "Elements", Archimedes' method to find the volume of a sphere: all parts of the invaluable legacy of ancient mathematics. But ancient mathematics was also about counting and measuring, surveying land and attributing mystical significance to the number six. This volume offers the first accessible survey of the discipline in all its variety and diversity of practices. The period covered ranges from the fifth century BC to the sixth century AD, with the focus on the Mediterranean region. Topics include: * mathematics and politics in classical Greece * the formation of mathematical traditions * the self-image of mathematicians in the Graeco-Roman period * mathematics and Christianity * and the use of the mathematical past in late antiquity.
Book Synopsis Science and Mathematics in Ancient Greek Culture by : Christopher Tuplin
Download or read book Science and Mathematics in Ancient Greek Culture written by Christopher Tuplin and published by . This book was released on 2002 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient Greece was the birthplace of science, which developed in the Hellenized culture of ancient Rome. This book, written by seventeen international experts, examines the role and achievement of science and mathematics in Greek antiquity through discussion of the linguistic, literary, political, religious, sociological, and technological factors which influenced scientific thought and practice.
Book Synopsis Handbook on the History of Mathematics Education by : Alexander Karp
Download or read book Handbook on the History of Mathematics Education written by Alexander Karp and published by Springer Science & Business Media. This book was released on 2014-01-25 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.
Book Synopsis A History of Mathematics by : Carl B. Boyer
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Book Synopsis A Companion to Ancient Education by : W. Martin Bloomer
Download or read book A Companion to Ancient Education written by W. Martin Bloomer and published by John Wiley & Sons. This book was released on 2015-06-23 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Companion to Ancient Education presents a series of essays from leading specialists in the field that represent the most up-to-date scholarship relating to the rise and spread of educational practices and theories in the ancient Greek and Roman worlds. Reflects the latest research findings and presents new historical syntheses of the rise, spread, and purposes of ancient education in ancient Greece and Rome Offers comprehensive coverage of the main periods, crises, and developments of ancient education along with historical sketches of various educational methods and the diffusion of education throughout the ancient world Covers both liberal and illiberal (non-elite) education during antiquity Addresses the material practice and material realities of education, and the primary thinkers during antiquity through to late antiquity
Book Synopsis Ancient Mathematics by : Serafina Cuomo
Download or read book Ancient Mathematics written by Serafina Cuomo and published by Routledge. This book was released on 2005-08-19 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theorem of Pythagoras, Euclid's "Elements", Archimedes' method to find the volume of a sphere: all parts of the invaluable legacy of ancient mathematics. But ancient mathematics was also about counting and measuring, surveying land and attributing mystical significance to the number six. This volume offers the first accessible survey of the discipline in all its variety and diversity of practices. The period covered ranges from the fifth century BC to the sixth century AD, with the focus on the Mediterranean region. Topics include: * mathematics and politics in classical Greece * the formation of mathematical traditions * the self-image of mathematicians in the Graeco-Roman period * mathematics and Christianity * and the use of the mathematical past in late antiquity.
Book Synopsis The History of Mathematical Proof in Ancient Traditions by : Karine Chemla
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 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.
Book Synopsis Anachronisms in the History of Mathematics by : Niccolò Guicciardini
Download or read book Anachronisms in the History of Mathematics written by Niccolò Guicciardini and published by Cambridge University Press. This book was released on 2021-07-22 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The controversial matters surrounding the notion of anachronism are difficult ones: they have been broached by literary and art critics, by philosophers, as well as by historians of science. This book adopts a bottom-up approach to the many problems concerning anachronism in the history of mathematics. Some of the leading scholars in the field of history of mathematics reflect on the applicability of present-day mathematical language, concepts, standards, disciplinary boundaries, indeed notions of mathematics itself, to well-chosen historical case studies belonging to the mathematics of the past, in European and non-European cultures. A detailed introduction describes the key themes and binds the various chapters together. The interdisciplinary and transcultural approach adopted allows this volume to cover topics important for history of mathematics, history of the physical sciences, history of science, philosophy of mathematics, history of philosophy, methodology of history, non-European science, and the transmission of mathematical knowledge across cultures.
