Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1000941361
Category : History
Languages : en
Pages : 384
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Book Description
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.
Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1040236693
Category : History
Languages : en
Pages : 355
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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.
Author: Charles Burnett
Publisher: Taylor & Francis
ISBN: 1040240526
Category : Mathematics
Languages : en
Pages : 382
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Book Description
This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592
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Book Description
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.
Author: Conrad Rudolph
Publisher: John Wiley & Sons
ISBN: 1119077745
Category : Art
Languages : en
Pages : 1245
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Book Description
A fully updated and comprehensive companion to Romanesque and Gothic art history This definitive reference brings together cutting-edge scholarship devoted to the Romanesque and Gothic traditions in Northern Europe and provides a clear analytical survey of what is happening in this major area of Western art history. The volume comprises original theoretical, historical, and historiographic essays written by renowned and emergent scholars who discuss the vibrancy of medieval art from both thematic and sub-disciplinary perspectives. Part of the Blackwell Companions to Art History, A Companion to Medieval Art, Second Edition features an international and ambitious range of contributions covering reception, formalism, Gregory the Great, pilgrimage art, gender, patronage, marginalized images, the concept of spolia, manuscript illumination, stained glass, Cistercian architecture, art of the crusader states, and more. Newly revised edition of a highly successful companion, including 11 new articles Comprehensive coverage ranging from vision, materiality, and the artist through to architecture, sculpture, and painting Contains full-color illustrations throughout, plus notes on the book’s many distinguished contributors A Companion to Medieval Art: Romanesque and Gothic in Northern Europe, Second Edition is an exciting and varied study that provides essential reading for students and teachers of Medieval art.
Author: Noel Harold Kaylor
Publisher: BRILL
ISBN: 900418354X
Category : Religion
Languages : en
Pages : 685
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Book Description
The articles in this volume focus upon Boethius's extant works: his De arithmetica and a fragmentary De musica, his translations and commentaries on logic, his five theological texts, and, of course, his Consolation of Philosophy. They examine the effects that Boethian thought has exercised upon the learning of later generations of scholars.
Author: Ittai Weinryb
Publisher: Cambridge University Press
ISBN: 1316539024
Category : Art
Languages : en
Pages : 319
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Book Description
This book presents the first full length study in English of monumental bronzes in the Middle Ages. Taking as its point of departure the common medieval reception of bronze sculpture as living or animated, the study closely analyzes the practice of lost wax casting (cire perdue) in western Europe and explores the cultural responses to large scale bronzes in the Middle Ages. Starting with mining, smelting, and the production of alloys, and ending with automata, water clocks and fountains, the book uncovers networks of meaning around which bronze sculptures were produced and consumed. The book is a path-breaking contribution to the study of metalwork in the Middle Ages and to the re-evaluation of medieval art more broadly, presenting an understudied body of work to reconsider what the materials and techniques embodied in public monuments meant to the medieval spectator.
Author: Douglas Dales
Publisher: James Clarke & Company
ISBN: 0227900863
Category : Religion
Languages : en
Pages : 359
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Book Description
Scholar, ecclesiastic, teacher and poet of the eighth century, Alcuin can be seen as a true hidden saint of the Church, of the same stature and significance as his predecessor Bede. His love of God and his grasp of Christian theology were rendered original in their creative impact by his gifts as a teacher and poet. In his hands, the very traditional theology that he inherited, and to which he felt bound, took new wings. In that respect, he must rank as one of the most notable and influential of Anglo-Saxon Christians, uniting English and continental Christianity in a unique manner, which left a lasting legacy within the Catholic Church of Western Europe. This book is intended for the general reader as well as for those studying, teaching or researching this period of early medieval history and theology in schools and universities.
Author: Albrecht Classen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110392925
Category : History
Languages : en
Pages : 1523
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Book Description
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.
Author: Alistair Cameron Crombie
Publisher: A&C Black
ISBN: 9780907628798
Category : History
Languages : en
Pages : 508
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Book Description
A.C. Crombie is one of the best known writers on the history of Science. Science, Optics and Music in Medieval and Early Modern Thought brings together a coherent body of essays that complement his books and are of independent value. A.C. Crombie traces general themes in the development of Science: the Aristotelian inheritance and the importance of the search for logical explanation in the middle ages; the ambitions and limitations of experiment and quantification; changing attitudes to scientific progress; the relations between Science and the Arts, and between Mathematics, Music and Medical Science; and the study of the senses. In particular he shows how the mechanistic hypothesis stimulated the experimental and philosophical study of vision.
