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Author: George Molland
Publisher: Routledge
ISBN:
Category : History
Languages : en
Pages : 360
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Book Description
The central theme of this volume lies in the medieval consciousness of mathematics, and the variety of strategies adopted to apply it in other areas, notably natural philosophy. In diachromic terms, Dr Molland considers ways in which ancient mathematics (particularly geometry) was assimilated in the Middle Ages, and how it was radically transformed in the 17th century, especially by Descartes. A pervasive concern is with ideas of scientific progress: the author argues that medieval commentatorial and disputational modes encouraged probing attitudes to existing knowledge, aimed at deepening individual understanding, rather than more aggressive endeavours to advance public knowledge characteristic of later periods. What brought about this change is the subject of several studies here; others form more specifically on individual scholars, in particular the important figure of Roger Bacon.
Author: George Molland
Publisher: Routledge
ISBN:
Category : History
Languages : en
Pages : 360
Get Book Here
Book Description
The central theme of this volume lies in the medieval consciousness of mathematics, and the variety of strategies adopted to apply it in other areas, notably natural philosophy. In diachromic terms, Dr Molland considers ways in which ancient mathematics (particularly geometry) was assimilated in the Middle Ages, and how it was radically transformed in the 17th century, especially by Descartes. A pervasive concern is with ideas of scientific progress: the author argues that medieval commentatorial and disputational modes encouraged probing attitudes to existing knowledge, aimed at deepening individual understanding, rather than more aggressive endeavours to advance public knowledge characteristic of later periods. What brought about this change is the subject of several studies here; others form more specifically on individual scholars, in particular the important figure of Roger Bacon.
Author: George Molland
Publisher: Taylor & Francis
ISBN: 104023156X
Category : History
Languages : en
Pages : 351
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Book Description
The central theme of this volume lies in the medieval consciousness of mathematics, and the variety of strategies adopted to apply it in other areas, notably natural philosophy. In diachromic terms, Dr Molland considers ways in which ancient mathematics (particularly geometry) was assimilated in the Middle Ages, and how it was radically transformed in the 17th century, especially by Descartes. A pervasive concern is with ideas of scientific progress: the author argues that medieval commentatorial and disputational modes encouraged probing attitudes to existing knowledge, aimed at deepening individual understanding, rather than more aggressive endeavours to advance public knowledge characteristic of later periods. What brought about this change is the subject of several studies here; others form more specifically on individual scholars, in particular the important figure of Roger Bacon.
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: 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: 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: David C. Lindberg
Publisher: Cambridge University Press
ISBN: 1316025470
Category : Technology & Engineering
Languages : en
Pages : 865
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Book Description
This volume in the highly respected Cambridge History of Science series is devoted to the history of science in the Middle Ages from the North Atlantic to the Indus Valley. Medieval science was once universally dismissed as non-existent - and sometimes it still is. This volume reveals the diversity of goals, contexts and accomplishments in the study of nature during the Middle Ages. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of medieval science currently available. Intended to provide a balanced and inclusive treatment of the medieval world, contributors consider scientific learning and advancement in the cultures associated with the Arabic, Greek, Latin and Hebrew languages. Scientists, historians and other curious readers will all gain a new appreciation for the study of nature during an era that is often misunderstood.
Author: Sylvain Roudaut
Publisher: BRILL
ISBN: 9004501894
Category : Philosophy
Languages : en
Pages : 443
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Book Description
The aim of this book is to analyze the problem of the intensity of forms in the late Middle Ages and to show how this debate eventually gave rise to a new metaphysical project in the 14th century: the project of quantifying the different types of perfections existing in the universe – that is the project of “measuring being”. Cet ouvrage se propose d’analyser l’histoire du débat relatif à l’intensité des formes au Moyen Âge, et de retracer la manière dont il conduisit au XIVe siècle à l’émergence d’un projet métaphysique nouveau : celui de quantifier les perfections contenues dans l’univers et, ainsi, de “mesurer l’être”.
Author:
Publisher: BRILL
ISBN: 9004453962
Category : History
Languages : en
Pages : 620
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Book Description
This volume deals with corpuscular matter theory that was to emerge as the dominant model in the seventeenth century. By retracing atomist and corpuscularian ideas to a variety of mutually independent medieval and Renaissance sources in natural philosophy, medicine, alchemy, mathematics, and theology, this volume shows the debt of early modern matter theory to previous traditions and thereby explains its bewildering heterogeneity. The book assembles nineteen carefully selected contributions by some of the most notable historians of medieval and early modern philosophy and science. All chapters present new research results and will therefore be of interest to historians of philosophy, science, and medicine between 1150 and 1750.
Author: Meletiou-Mavrotheris, Maria
Publisher: IGI Global
ISBN: 1466687150
Category : Education
Languages : en
Pages : 372
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Book Description
Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education presents the best practices in mathematics education research and teaching practice by providing an account of current and future trends and issues in mobile mathematics learning and associated technologies and educational methodologies. This edited volume approaches a broad audience including researchers and practitioners interested in the exploitation of mobile technologies in mathematics teaching and learning, as well as mathematics teachers at all levels. This premier reference source compiles the best practices and recommended processes for effectively utilizing the vast capabilities of mobile technologies in the mathematics classroom through a collection of chapters covering topics including, but not limited to, touch-enabled virtual mapping, perceptual learning technologies, mobile teaching, statistics apps for mobile devices, smartphones for the visually impaired, pedagogical and instructional design, and touch screen interfaces in algebraic instruction.
Author: Elizabeth de Freitas
Publisher: Cambridge University Press
ISBN: 1139952528
Category : Psychology
Languages : en
Pages : 287
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Book Description
This book explores alternative ways to consider the relationship between mathematics and the material world. Drawing on the philosophy of Gilles Châtelet and the post-humanist materialism of Karen Barad, the authors present an 'inclusive materialist' approach to studying mathematics education. This approach offers a fresh perspective on human and nonhuman bodies, challenging current assumptions about the role of the senses, language, and ability in teaching and learning mathematics. Each chapter provides empirical examples from the classroom that demonstrate how inclusive materialism can be applied to a wide range of concerns in the field. The authors analyze recent studies on students' gestures, expressions, and drawings in order to establish a link between mathematical activity and mathematical concepts. Mathematics and the Body expands the landscape of research in mathematics education and will be an essential resource for teachers, students, and researchers alike.
