Author: H.L. Busard
Publisher: Birkhäuser
ISBN: 3034886365
Category : Science
Languages : en
Pages : 419
Book Description
The Latin "Version II", till now attributed to Adelard of Bath, is edited here for the first time. It was the most influential Euclid text in the Latin West in the 12th and 13th centuries. As the large number of manuscripts and the numerous quotations in other scientific and philosophical texts show, it was far better known than the three Euclid translations made from the Arabic in the 12th century (Adelard of Bath, version I; Hermann of Carinthia; Gerard of Cremona). Version II became the basis of later reworkings, in which the enunciations were taken over, but new proofs supplied; the most important text of this kind is the redaction made by Campanus in the late 1250s, which became the standard Latin "Euclid" in the later Middle Ages. The introduction deals with the questions of when and by whom version II was written. Since Marshall Clagett's fundamental article (1953) it has been generally accepted that version II is one of three Euclid texts attributable to Adelard of Bath. But a comparison of the text of version II with those of versions I and III yields little or no reason to assume that Adelard was the author of version II. Version II must have been written later than version I and before version III; its author was acquainted with Euclid texts of the Boethius tradition and with two of those transmitted from Arabic, version I (almost certainly by Adelard) and the version by Hermann of Carinthia.
Robert of Chester’s Redaction of Euclid’s Elements, the so-called Adelard II Version
Author: H.L. Busard
Publisher: Birkhäuser
ISBN: 3034886365
Category : Science
Languages : en
Pages : 419
Book Description
The Latin "Version II", till now attributed to Adelard of Bath, is edited here for the first time. It was the most influential Euclid text in the Latin West in the 12th and 13th centuries. As the large number of manuscripts and the numerous quotations in other scientific and philosophical texts show, it was far better known than the three Euclid translations made from the Arabic in the 12th century (Adelard of Bath, version I; Hermann of Carinthia; Gerard of Cremona). Version II became the basis of later reworkings, in which the enunciations were taken over, but new proofs supplied; the most important text of this kind is the redaction made by Campanus in the late 1250s, which became the standard Latin "Euclid" in the later Middle Ages. The introduction deals with the questions of when and by whom version II was written. Since Marshall Clagett's fundamental article (1953) it has been generally accepted that version II is one of three Euclid texts attributable to Adelard of Bath. But a comparison of the text of version II with those of versions I and III yields little or no reason to assume that Adelard was the author of version II. Version II must have been written later than version I and before version III; its author was acquainted with Euclid texts of the Boethius tradition and with two of those transmitted from Arabic, version I (almost certainly by Adelard) and the version by Hermann of Carinthia.
Publisher: Birkhäuser
ISBN: 3034886365
Category : Science
Languages : en
Pages : 419
Book Description
The Latin "Version II", till now attributed to Adelard of Bath, is edited here for the first time. It was the most influential Euclid text in the Latin West in the 12th and 13th centuries. As the large number of manuscripts and the numerous quotations in other scientific and philosophical texts show, it was far better known than the three Euclid translations made from the Arabic in the 12th century (Adelard of Bath, version I; Hermann of Carinthia; Gerard of Cremona). Version II became the basis of later reworkings, in which the enunciations were taken over, but new proofs supplied; the most important text of this kind is the redaction made by Campanus in the late 1250s, which became the standard Latin "Euclid" in the later Middle Ages. The introduction deals with the questions of when and by whom version II was written. Since Marshall Clagett's fundamental article (1953) it has been generally accepted that version II is one of three Euclid texts attributable to Adelard of Bath. But a comparison of the text of version II with those of versions I and III yields little or no reason to assume that Adelard was the author of version II. Version II must have been written later than version I and before version III; its author was acquainted with Euclid texts of the Boethius tradition and with two of those transmitted from Arabic, version I (almost certainly by Adelard) and the version by Hermann of Carinthia.
Robert of Chester's Redaction of Euclid's Elements, the So Called Adelard II Version
Author: Hubert L. L. Busard
Publisher:
ISBN:
Category :
Languages : en
Pages : 529
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 529
Book Description
Robert of Chester’s Redaction of Euclid’s Elements, the so-called Adelard II Version
Author: H.L. Busard
Publisher: Birkhäuser
ISBN: 3034886047
Category : Science
Languages : en
Pages : 517
Book Description
Publisher: Birkhäuser
ISBN: 3034886047
Category : Science
Languages : en
Pages : 517
Book Description
Robert of Chester's (?) Redaction of Euclid's Elements, the So-called Adelard II Version
Author: Hubertus Lambertus Ludovicus Busard
Publisher:
ISBN: 9780817626587
Category : Euclid's Elements
Languages : la
Pages : 959
Book Description
Publisher:
ISBN: 9780817626587
Category : Euclid's Elements
Languages : la
Pages : 959
Book Description
Robert of Chester's (?) Redaction of Euclid's Elements, the So-called Adelard II Version
Author: Hubertus Lambertus Ludovicus Busard
Publisher:
ISBN: 9780817626587
Category : Euclid's Elements
Languages : en
Pages : 959
Book Description
Publisher:
ISBN: 9780817626587
Category : Euclid's Elements
Languages : en
Pages : 959
Book Description
The Secular Clergy in England, 1066-1216
Author: Hugh M. Thomas
Publisher:
ISBN: 0198702566
Category : History
Languages : en
Pages : 445
Book Description
The secular clergy - priests and other clerics outside of monastic orders - were among the most influential and powerful groups in European society during the central Middle Ages. The secular clergy got their title from the Latin word for world, saeculum, and secular clerics kept the Church running in the world beyond the cloister wall, with responsibility for the bulk of pastoral care and ecclesiastical administration. This gave them enormous religious influence, although they were considered too worldly by many contemporary moralists - trying, for instance, to oppose the elimination of clerical marriage and concubinage. Although their worldliness created many tensions, it also gave the secular clergy much worldly influence. Contemporaries treated elite secular clerics as equivalent to knights, and some were as wealthy as minor barons. Secular clerics had a huge role in the rise of royal bureaucracy, one of the key historical developments of the period. They were instrumental to the intellectual and cultural flowering of the twelfth century, the rise of the schools, the creation of the book trade, and the invention of universities. They performed music, produced literature in a variety of genres and languages, and patronized art and architecture. Indeed, this volume argues that they contributed more than any other group to the Twelfth-Century Renaissance. Yet the secular clergy as a group have received almost no attention from scholars, unlike monks, nuns, or secular nobles. In The Secular Clergy in England, 1066-1216, Hugh Thomas aims to correct this deficiency through a major study of the secular clergy below the level of bishop in England from 1066 to 1216.
Publisher:
ISBN: 0198702566
Category : History
Languages : en
Pages : 445
Book Description
The secular clergy - priests and other clerics outside of monastic orders - were among the most influential and powerful groups in European society during the central Middle Ages. The secular clergy got their title from the Latin word for world, saeculum, and secular clerics kept the Church running in the world beyond the cloister wall, with responsibility for the bulk of pastoral care and ecclesiastical administration. This gave them enormous religious influence, although they were considered too worldly by many contemporary moralists - trying, for instance, to oppose the elimination of clerical marriage and concubinage. Although their worldliness created many tensions, it also gave the secular clergy much worldly influence. Contemporaries treated elite secular clerics as equivalent to knights, and some were as wealthy as minor barons. Secular clerics had a huge role in the rise of royal bureaucracy, one of the key historical developments of the period. They were instrumental to the intellectual and cultural flowering of the twelfth century, the rise of the schools, the creation of the book trade, and the invention of universities. They performed music, produced literature in a variety of genres and languages, and patronized art and architecture. Indeed, this volume argues that they contributed more than any other group to the Twelfth-Century Renaissance. Yet the secular clergy as a group have received almost no attention from scholars, unlike monks, nuns, or secular nobles. In The Secular Clergy in England, 1066-1216, Hugh Thomas aims to correct this deficiency through a major study of the secular clergy below the level of bishop in England from 1066 to 1216.
The Development of Mathematics in Medieval Europe
Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1040236693
Category : History
Languages : en
Pages : 355
Book Description
The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Publisher: Taylor & Francis
ISBN: 1040236693
Category : History
Languages : en
Pages : 355
Book Description
The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Research in History and Philosophy of Mathematics
Author: Maria Zack
Publisher: Birkhäuser
ISBN: 3319466151
Category : Mathematics
Languages : en
Pages : 256
Book Description
This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
Publisher: Birkhäuser
ISBN: 3319466151
Category : Mathematics
Languages : en
Pages : 256
Book Description
This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
The History of Mathematical Proof in Ancient Traditions
Author: Karine Chemla
Publisher: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
Book Description
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.
Historiography of the History of Science in Islamicate Societies
Author: Sonja Brentjes
Publisher: Taylor & Francis
ISBN: 1000921417
Category : History
Languages : en
Pages : 259
Book Description
This book presents eight papers about important historiographical issues as debated in the history of science in Islamicate societies, the history of science and philosophy of medieval Latin Europe and the history of mathematics as an academic discipline. Six papers deal with themes about the sciences in Islamicate societies from the ninth to the seventeenth centuries, among them novelty, context and decline. Two other papers discuss the historiographical practices of historians of mathematics and other disciplines in the nineteenth and twentieth centuries. The central argument of the collected papers is that in addition and beyond the study of scientific texts and instruments historians of science in Islamicate societies need to pay attention to cultural, material and social aspects that shaped the scientific activities of the authors and makers of such texts and instruments. It is pointed out that the diachronic, de-contextualized comparison between methods and results of scholars from different centuries, regions and cultures often leads to serious distortions of the historical record and is responsible for the long-term neglect of scholarly activities after the so-called "Golden Age". The book will appeal in particular to teachers of history of science in Islamicate societies, to graduate students interested in issues of methodology and to historians of science grappling with the unresolved problems of how think and write about the sciences in concrete societies of the past instead of subsuming all extant texts, instruments, maps and other objects related to the sciences under macro-level concepts like Islam or Latin Europe. (CS 1114).
Publisher: Taylor & Francis
ISBN: 1000921417
Category : History
Languages : en
Pages : 259
Book Description
This book presents eight papers about important historiographical issues as debated in the history of science in Islamicate societies, the history of science and philosophy of medieval Latin Europe and the history of mathematics as an academic discipline. Six papers deal with themes about the sciences in Islamicate societies from the ninth to the seventeenth centuries, among them novelty, context and decline. Two other papers discuss the historiographical practices of historians of mathematics and other disciplines in the nineteenth and twentieth centuries. The central argument of the collected papers is that in addition and beyond the study of scientific texts and instruments historians of science in Islamicate societies need to pay attention to cultural, material and social aspects that shaped the scientific activities of the authors and makers of such texts and instruments. It is pointed out that the diachronic, de-contextualized comparison between methods and results of scholars from different centuries, regions and cultures often leads to serious distortions of the historical record and is responsible for the long-term neglect of scholarly activities after the so-called "Golden Age". The book will appeal in particular to teachers of history of science in Islamicate societies, to graduate students interested in issues of methodology and to historians of science grappling with the unresolved problems of how think and write about the sciences in concrete societies of the past instead of subsuming all extant texts, instruments, maps and other objects related to the sciences under macro-level concepts like Islam or Latin Europe. (CS 1114).