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Essays on Early Medieval Mathematics

Author: Menso Folkerts

Publisher: Taylor & Francis

Published: 2023-06-14

Total Pages: 384

ISBN-13: 1000941361

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This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.

Book Synopsis Essays on Early Medieval Mathematics by : Menso Folkerts

Download or read book Essays on Early Medieval Mathematics written by Menso Folkerts and published by Taylor & Francis. This book was released on 2023-06-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.

The Development of Mathematics in Medieval Europe

Author: Menso Folkerts

Publisher: Routledge

Published: 2006

Total Pages: 370

ISBN-13:

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This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.

Book Synopsis The Development of Mathematics in Medieval Europe by : Menso Folkerts

Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Routledge. This book was released on 2006 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.

Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages

Author: Edward Grant

Publisher: Cambridge University Press

Published: 1987-08

Total Pages: 354

ISBN-13: 052132260X

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Eleven distinguished historians of science explore natural philosophy and mathematics in the Middle Ages.

Book Synopsis Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages by : Edward Grant

Download or read book Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages written by Edward Grant and published by Cambridge University Press. This book was released on 1987-08 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven distinguished historians of science explore natural philosophy and mathematics in the Middle Ages.

The Bronze Object in the Middle Ages

Author: Ittai Weinryb

Publisher: Cambridge University Press

Published: 2016-04-18

Total Pages: 319

ISBN-13: 1107123615

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This is a path-breaking contribution to the study of medieval metalwork and to the broader re-evaluation of medieval art.

Book Synopsis The Bronze Object in the Middle Ages by : Ittai Weinryb

Download or read book The Bronze Object in the Middle Ages written by Ittai Weinryb and published by Cambridge University Press. This book was released on 2016-04-18 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a path-breaking contribution to the study of medieval metalwork and to the broader re-evaluation of medieval art.

Sourcebook in the Mathematics of Medieval Europe and North Africa

Author: Victor J. Katz

Publisher: Princeton University Press

Published: 2016-10-18

Total Pages: 593

ISBN-13: 1400883202

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Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Book Synopsis Sourcebook in the Mathematics of Medieval Europe and North Africa by : Victor J. Katz

Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-10-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Related Worlds - Studies in Jewish and Arab Ancient and Early Medieval History

Author: Moshe Gil

Publisher: Taylor & Francis

Published: 2023-07-28

Total Pages: 353

ISBN-13: 1000945200

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An element common to all the articles collected here is the attempt to make parallel use of sources from different cultures - Biblical and Talmudic Hebrew, Greek and Latin, Arabic and Judaeo-Arabic - comparing these different but complementary sources in the investigation of topics in Jewish and Arabic history. In the first studies Professor Gil deals primarily with the Roman and Byzantine periods, elucidating how a Biblical term was understood, the historical significance of passages from the Mishna, and the origins of the Book of Enoch. The next group is concerned with the history of early Islam, during the years in which the Prophet Muhammad lived and worked, and later traditions of this period. The final studies are based specifically on sources from the Cairo Geniza, and examine a term of Greek origin and questions of taxation and commerce.

Book Synopsis Related Worlds - Studies in Jewish and Arab Ancient and Early Medieval History by : Moshe Gil

Download or read book Related Worlds - Studies in Jewish and Arab Ancient and Early Medieval History written by Moshe Gil and published by Taylor & Francis. This book was released on 2023-07-28 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: An element common to all the articles collected here is the attempt to make parallel use of sources from different cultures - Biblical and Talmudic Hebrew, Greek and Latin, Arabic and Judaeo-Arabic - comparing these different but complementary sources in the investigation of topics in Jewish and Arabic history. In the first studies Professor Gil deals primarily with the Roman and Byzantine periods, elucidating how a Biblical term was understood, the historical significance of passages from the Mishna, and the origins of the Book of Enoch. The next group is concerned with the history of early Islam, during the years in which the Prophet Muhammad lived and worked, and later traditions of this period. The final studies are based specifically on sources from the Cairo Geniza, and examine a term of Greek origin and questions of taxation and commerce.

Handbook of Medieval Culture

Author: Albrecht Classen

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-08-31

Total Pages: 747

ISBN-13: 3110392925

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A follow-up publication to the Handbook of Medieval Studies, this new reference work turns to a different focus: medieval culture. Medieval research has grown tremendously in depth and breadth over the last decades. Particularly our understanding of medieval culture, of the basic living conditions, and the specific value system prevalent at that time has considerably expanded, to a point where we are in danger of no longer seeing the proverbial forest for the trees. The present, innovative handbook offers compact articles on essential topics, ideals, specific knowledge, and concepts defining the medieval world as comprehensively as possible. The topics covered in this new handbook pertain to issues such as love and marriage, belief in God, hell, and the devil, education, lordship and servitude, Christianity versus Judaism and Islam, health, medicine, the rural world, the rise of the urban class, travel, roads and bridges, entertainment, games, and sport activities, numbers, measuring, the education system, the papacy, saints, the senses, death, and money.

Book Synopsis Handbook of Medieval Culture by : Albrecht Classen

Download or read book Handbook of Medieval Culture written by Albrecht Classen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-31 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: A follow-up publication to the Handbook of Medieval Studies, this new reference work turns to a different focus: medieval culture. Medieval research has grown tremendously in depth and breadth over the last decades. Particularly our understanding of medieval culture, of the basic living conditions, and the specific value system prevalent at that time has considerably expanded, to a point where we are in danger of no longer seeing the proverbial forest for the trees. The present, innovative handbook offers compact articles on essential topics, ideals, specific knowledge, and concepts defining the medieval world as comprehensively as possible. The topics covered in this new handbook pertain to issues such as love and marriage, belief in God, hell, and the devil, education, lordship and servitude, Christianity versus Judaism and Islam, health, medicine, the rural world, the rise of the urban class, travel, roads and bridges, entertainment, games, and sport activities, numbers, measuring, the education system, the papacy, saints, the senses, death, and money.

Domingo de Soto and the Early Galileo

Author: William A. Wallace

Publisher: Routledge

Published: 2018-01-18

Total Pages: 357

ISBN-13: 1351159585

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The unifying theme in this second volume of essays by William A. Wallace to be published in the Variorum series is signaled in the title of the opening paper: 'Domingo de Soto and the Iberian roots of Galileo's science'. The seven essays in the first part provide textual studies of Soto's early formulations of the laws of falling bodies, the context in which they were developed in the 16th century, and the ways in which they were transmitted in Spain and Portugal to the early 17th century, mainly by Jesuit scholars. The following essays focus on the young Galileo and his work at Pisa and Padua, leading to his discovery of the law of uniform acceleration in free fall. Textual evidence is presented for an indirect influence of Soto's work on Galileo, mediated by Jesuits who were teaching at Padua in the first decade of the 17th century.

Book Synopsis Domingo de Soto and the Early Galileo by : William A. Wallace

Download or read book Domingo de Soto and the Early Galileo written by William A. Wallace and published by Routledge. This book was released on 2018-01-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying theme in this second volume of essays by William A. Wallace to be published in the Variorum series is signaled in the title of the opening paper: 'Domingo de Soto and the Iberian roots of Galileo's science'. The seven essays in the first part provide textual studies of Soto's early formulations of the laws of falling bodies, the context in which they were developed in the 16th century, and the ways in which they were transmitted in Spain and Portugal to the early 17th century, mainly by Jesuit scholars. The following essays focus on the young Galileo and his work at Pisa and Padua, leading to his discovery of the law of uniform acceleration in free fall. Textual evidence is presented for an indirect influence of Soto's work on Galileo, mediated by Jesuits who were teaching at Padua in the first decade of the 17th century.

Ancient Mathematics

Author: Dietmar Herrmann

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 462

ISBN-13: 3662664941

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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.

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.

The Palgrave Handbook of Literature and Mathematics

Author: Robert Tubbs

Publisher: Springer Nature

Published: 2020-12-30

Total Pages: 628

ISBN-13: 3030554783

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This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism to mathematics as literature. Some chapters focus on a single author, such as mathematics and Ezra Pound, Gertrude Stein, or Charles Dickens, while others consider a mathematical topic common to two or more authors, such as squaring the circle, chaos theory, Newton’s calculus, or stochastic processes. With appeal for scholars and students in literature, mathematics, cultural history, and history of mathematics, this important volume aims to introduce the range, fertility, and complexity of the connections between mathematics, literature, and literary theory. Chapter 1 is available open access under a Creative Commons Attribution 4.0 International License via [link.springer.com|http://link.springer.com/].

Book Synopsis The Palgrave Handbook of Literature and Mathematics by : Robert Tubbs

Download or read book The Palgrave Handbook of Literature and Mathematics written by Robert Tubbs and published by Springer Nature. This book was released on 2020-12-30 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism to mathematics as literature. Some chapters focus on a single author, such as mathematics and Ezra Pound, Gertrude Stein, or Charles Dickens, while others consider a mathematical topic common to two or more authors, such as squaring the circle, chaos theory, Newton’s calculus, or stochastic processes. With appeal for scholars and students in literature, mathematics, cultural history, and history of mathematics, this important volume aims to introduce the range, fertility, and complexity of the connections between mathematics, literature, and literary theory. Chapter 1 is available open access under a Creative Commons Attribution 4.0 International License via [link.springer.com|http://link.springer.com/].