The Development Of Mathematics In Medieval Europe
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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.
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.
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.
5000 Years Of Geometry
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Author : Christoph J. Scriba
language : en
Publisher: Birkhäuser
Release Date : 2015-04-22
5000 Years Of Geometry written by Christoph J. Scriba and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Mathematics categories.
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)
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.
The History Of Mathematical Tables
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Author : Martin Campbell-Kelly
language : en
Publisher: Oxford University Press
Release Date : 2003-10-02
The History Of Mathematical Tables written by Martin Campbell-Kelly and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-02 with Business & Economics categories.
This book contains a series of articles summarizing the technical, institutional and intellectual history of mathematical tables from earliest times until the late 20th century when the electronic spreadsheet changed the way information is processed.
Writing The History Of Mathematics Its Historical Development
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Author : Joseph W. Dauben
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-09-23
Writing The History Of Mathematics Its Historical Development written by Joseph W. Dauben 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 2002-09-23 with Mathematics categories.
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Math Through The Ages A Gentle History For Teachers And Others Expanded Second Edition
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Author : William P. Berlinghoff
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-29
Math Through The Ages A Gentle History For Teachers And Others Expanded Second Edition written by William P. Berlinghoff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-29 with Education categories.
Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.
The European Mathematical Awakening
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Author : Frank J. Swetz
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01
The European Mathematical Awakening written by Frank J. Swetz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.
" A global survey of the history of mathematics, this newly corrected and updated collection of 32 highly readable essays features contributions by such distinguished educators as Carl Boyer and Morris Kline. Fascinating articles explore studies by Fibonacci, Descartes, Cardano, Kepler, Galileo, Pascal, Newton, Euler, and others. Suitable for readers with no background in math"--
Astrolabes From Medieval Europe
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Author : David A. King
language : en
Publisher: Taylor & Francis
Release Date : 2024-10-28
Astrolabes From Medieval Europe written by David A. King 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.
This is the fourth set of studies in the Variorum series by David King, a leading authority on the history of astronomy in Islamic civilization and on medieval astronomical instruments, European as well as Islamic. The first of the eleven studies collected here deals with medieval instruments in general, as precious historical sources. The following papers focus on individual astrolabes from the European Middle Ages and early Renaissance that are of singular historical importance. Two look at the origins of the simple universal horary quadrant and the complicated universal horary dial (navicula). The collection concludes with a list of all known medieval European astrolabes, ordered chronologically by region. Three "landmark" astrolabes are discussed: (1) the earliest known European astrolabe from 10th-century Catalonia, that milieu in which the astrolabe first became known to Europeans; (2) an astrolabe from 14th-century Picardy bearing numerals written in monastic ciphers as well as a later dedication mentioning two friends of Erasmus; (3) the splendid astrolabe presented in 1462 by the German astronomer Regiomontanus to his patron Cardinal Bessarion, with its enigmatic angel and Latin dedication, here presented in the context of other astrolabes of similar design from 15th-century Vienna.