Mathematics And The Medieval Ancestry Of Physics

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Mathematics And The Medieval Ancestry Of Physics

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Author : George Molland
language : en
Publisher: Routledge
Release Date : 1995

Mathematics And The Medieval Ancestry Of Physics written by George Molland and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with History categories.

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.

Mathematics And The Medieval Ancestry Of Physics

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Author : George Molland
language : en
Publisher: Taylor & Francis
Release Date : 2024-10-28

Mathematics And The Medieval Ancestry Of Physics written by George Molland and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-28 with History categories.

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.

The Development Of Mathematics In Medieval Europe

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Author : Menso Folkerts
language : en
Publisher: Taylor & Francis
Release Date : 2024-10-28

The Development Of Mathematics In Medieval Europe written by Menso Folkerts and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-28 with History categories.

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.

Essays On Early Medieval Mathematics

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Author : Menso Folkerts
language : en
Publisher: Taylor & Francis
Release Date : 2023-06-14

Essays On Early Medieval Mathematics written by Menso Folkerts and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with History categories.

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.

Mathematics And The Medieval Ancestry Of Physics Book Review

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Author : Brian Vickers
language : en
Publisher:
Release Date : 1996

Mathematics And The Medieval Ancestry Of Physics Book Review written by Brian Vickers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

A Companion To Boethius In The Middle Ages

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Author : Noel Harold Kaylor
language : en
Publisher: BRILL
Release Date : 2012-05-03

A Companion To Boethius In The Middle Ages written by Noel Harold Kaylor and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Religion categories.

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.

Numerals And Arithmetic In The Middle Ages

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Author : Charles Burnett
language : en
Publisher: Taylor & Francis
Release Date : 2024-10-28

Numerals And Arithmetic In The Middle Ages written by Charles Burnett and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-28 with Mathematics categories.

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.

The History Of Continua

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Author : Stewart Shapiro
language : en
Publisher: Oxford University Press (UK)
Release Date : 2021

The History Of Continua written by Stewart Shapiro and has been published by Oxford University Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.

Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.

A Companion To Philosophy In The Middle Ages

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Author : Jorge J. E. Gracia
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-15

A Companion To Philosophy In The Middle Ages written by Jorge J. E. Gracia and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-15 with Philosophy categories.

This comprehensive reference volume features essays by some of the most distinguished scholars in the field. Provides a comprehensive "who's who" guide to medieval philosophers. Offers a refreshing mix of essays providing historical context followed by 140 alphabetically arranged entries on individual thinkers. Constitutes an extensively cross-referenced and indexed source. Written by a distinguished cast of philosophers. Spans the history of medieval philosophy from the fourth century AD to the fifteenth century.

The Science Of Conjecture

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Author : James Franklin
language : en
Publisher: Johns Hopkins University Press
Release Date : 2001-07-27

The Science Of Conjecture written by James Franklin and has been published by Johns Hopkins University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-27 with Science categories.

How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.