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The Development Of Mathematics In Medieval Europe


The Development Of Mathematics In Medieval Europe
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The Development Of Mathematics In Medieval Europe


The Development Of Mathematics In Medieval Europe
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Author : Menso Folkerts
language : de
Publisher: Routledge
Release Date : 2006

The Development Of Mathematics In Medieval Europe written by Menso Folkerts and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with History categories.


This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.



Essays On Early Medieval Mathematics


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.



Sourcebook In The Mathematics Of Medieval Europe And North Africa


Sourcebook In The Mathematics Of Medieval Europe And North Africa
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Author : Victor J. Katz
language : en
Publisher: Princeton University Press
Release Date : 2016-11-01

Sourcebook In The Mathematics Of Medieval Europe And North Africa written by Victor J. Katz 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 2016-11-01 with Mathematics categories.


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.



Episodes In The Mathematics Of Medieval Islam


Episodes In The Mathematics Of Medieval Islam
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Author : J.L. Berggren
language : en
Publisher: Springer
Release Date : 2017-01-18

Episodes In The Mathematics Of Medieval Islam written by J.L. Berggren and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Mathematics categories.


This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.



History Of Mathematics


History Of Mathematics
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Author : David E. Smith
language : en
Publisher: Courier Corporation
Release Date : 1958-06-01

History Of Mathematics written by David E. Smith and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958-06-01 with Mathematics categories.


Within this two-volume edition, Professor Smith covers the entire history of mathematics in the Near and Far East and the West, from primitive number concepts to the calculus. His account is distinguished by impeccable scholarship combined with unusual clarity and readability. Footnotes add many technical points outside the book's actual line of development and direct the reader to disputed matters and source readings. Hundreds of illustrations from Egyptian papyri, Hindu, Chinese, and Japanese manuscripts, Greek and Roman texts, Medieval treatises, maps, portraits, etc. are used along with modern graphs and diagrams. Every major figure from Euclid to Descartes, Gauss, and Riemann and hundreds of lesser-known figures — Theon of Smyrna, Rabbi ben Ezra, Radulph of Laon, Mersenns, Benedetti, and more — are considered both with respect to specific problems and with an awareness of their overall influence on mathematics. Volume II: Special Topics, considering mathematics in terms of arithmetic geometry, algebra, trig, calculus, calculating machines, and other specific fields and problems. 192 Topics for Discussion. 195 illustrations. Index.



Mathematics Administrative And Economic Activities In Ancient Worlds


Mathematics Administrative And Economic Activities In Ancient Worlds
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Author : Cécile Michel
language : en
Publisher: Springer Nature
Release Date : 2020-09-29

Mathematics Administrative And Economic Activities In Ancient Worlds written by Cécile Michel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-29 with Mathematics categories.


This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.



Music And The Stars


Music And The Stars
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Author : Mary Kelly
language : en
Publisher:
Release Date : 2013

Music And The Stars written by Mary Kelly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Ireland categories.


International experts introduce and explore the history of mathematics in medieval Ireland - its reception, philosophy and the contribution made by Irish scholars to the development of science in Ireland and Western Europe.--



A Short Account Of The History Of Mathematics


A Short Account Of The History Of Mathematics
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Author : W. W. Ball
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-12-08

A Short Account Of The History Of Mathematics written by W. W. Ball and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-08 with categories.


W.W. Rouse Ball's thorough and authoritative history of mathematics, from Ancient Egypt and Classical Greece, through Arabia and Medieval Europe, and into the Renaissance, the Age of Reason, and the Nineteenth Century.



A History Of Mathematics


A History Of Mathematics
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Author : Florian Cajori
language : en
Publisher:
Release Date : 1893

A History Of Mathematics written by Florian Cajori and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Mathematics categories.




A History Of Elementary Mathematics


A History Of Elementary Mathematics
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Author : Florian Cajori
language : en
Publisher: Cosimo, Inc.
Release Date : 2007-05-01

A History Of Elementary Mathematics written by Florian Cajori and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Mathematics categories.


Traces development of arithmetic, algebra, geometry, and trigonometry in ancient world; influence of Hindu and Arabic mathematicians on medieval Europe; and trends that led to modern mathematics. 1917 edition.