Essays On Early Medieval Mathematics

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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.

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.

Studies In Medieval Astronomy And Optics

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Author : J.L. Mancha
language : en
Publisher: Taylor & Francis
Release Date : 2023-07-21

Studies In Medieval Astronomy And Optics written by J.L. Mancha and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with History categories.

In this selection of studies, J.L. Mancha explores aspects of the development of medieval optics and astronomy, including some medieval antecedents of the work of early modern astronomers. The articles deal with Latin, Hebrew and Arabic texts, and the process of translation and transmission of knowledge, and focus on three main themes. First, the theory and astronomical use of the pinhole camera in the 12th and 13th centuries; the texts edited here contain a solution to the problem of the formation of images cast by light through triangular apertures, equivalent to Kepler's, a description of the correct procedure for measuring solar apparent diameters using finite apertures, and a derivation of the Sun's eccentricity from its apparent diameters at apogee and perigee. Second, the characteristics of the Latin and Provençal versions of Levi ben Gerson's astronomical work, composed in collaboration with the author, as well as his tables and canons for finding syzygies and the mathematical methods used in the derivation of parameters. Third, different aspects of the survival of homocentric astronomy in the Middle Ages, especially al-Bitruji's model for trepidation and the technique for calculating the hippopede resulting from Eudoxan couples.

A Companion To Medieval Art

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Author : Conrad Rudolph
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-07

A Companion To Medieval Art written by Conrad Rudolph 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 2011-09-07 with Art categories.

A Companion to Medieval Art brings together cutting-edge scholarship devoted to the Romanesque and Gothic traditions in Northern Europe. Brings together cutting-edge scholarship devoted to the Romanesque and Gothic traditions in Northern Europe. Contains over 30 original theoretical, historical, and historiographic essays by renowned and emergent scholars. Covers the vibrancy of medieval art from both thematic and sub-disciplinary perspectives. Features an international and ambitious range - from reception, Gregory the Great, collecting, and pilgrimage art, to gender, patronage, the marginal, spolia, and manuscript illumination.

Growing Ideas Of Number

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Author : John N Crossley
language : en
Publisher: ACER Press
Release Date : 2007-02-01

Growing Ideas Of Number written by John N Crossley and has been published by ACER Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-01 with Mathematics categories.

Explores the notion of how ideas of number have grown throughout history. Illustrates some of the real problems and subtleties of number, including calculation, measuring, counting, and using machines.

Jacopo Da Firenze S Tractatus Algorismi And Early Italian Abbacus Culture

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Author : Jens Høyrup
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-24

Jacopo Da Firenze S Tractatus Algorismi And Early Italian Abbacus Culture written by Jens Høyrup and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-24 with Mathematics categories.

This book deals with one of the earliest surviving "abbacus" treatises, one that is by far more orderly than any of the extant predecessors and is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450. In addition, it features an extensive discussion of the contents of the treatise and its location within early abbacus culture.

Fibonacci S De Practica Geometrie

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Author : Barnabas Hughes
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-15

Fibonacci S De Practica Geometrie written by Barnabas Hughes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-15 with Mathematics categories.

Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 – ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De Practica Geometrie. This translation offers a reconstruction of De Practica Geometrie as the author judges Fibonacci wrote it, thereby correcting inaccuracies found in numerous modern histories. It is a high quality translation with supplemental text to explain text that has been more freely translated. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words.

The Abacus And The Cross

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Author : Nancy Marie Brown
language : en
Publisher: Hachette UK
Release Date : 2010-12-07

The Abacus And The Cross written by Nancy Marie Brown and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-07 with History categories.

The medieval Catholic Church, widely considered a source of intolerance and inquisitorial fervor, was not anti-science during the Dark Ages -- in fact, the pope in the year 1000 was the leading mathematician and astronomer of his day. Called "The Scientist Pope," Gerbert of Aurillac rose from peasant beginnings to lead the church. By turns a teacher, traitor, kingmaker, and visionary, Gerbert is the first Christian known to teach math using the nine Arabic numerals and zero. In The Abacus and the Cross, Nancy Marie Brown skillfully explores the new learning Gerbert brought to Europe. A fascinating narrative of one remarkable math teacher, The Abacus and the Cross will captivate readers of history, science, and religion alike.

Imagined Civilizations

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Author : Roger Preston Hart
language : en
Publisher: JHU Press
Release Date : 2013-08-15

Imagined Civilizations written by Roger Preston Hart and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-15 with History categories.

While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.

Encounters With Euclid

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Author : Benjamin Wardhaugh
language : en
Publisher: Princeton University Press
Release Date : 2023-11-14

Encounters With Euclid written by Benjamin Wardhaugh and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-14 with Mathematics categories.

A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.