Numerals And Arithmetic In The Middle Ages

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Numerals and Arithmetic in the Middle Ages

Author : Charles Burnett
Publisher : Routledge
ISBN 13 : 9781409403685
Total Pages : 0 pages
Book Rating : 4.4/5 (36 download)

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Book Synopsis Numerals and Arithmetic in the Middle Ages by : Charles Burnett

Download or read book Numerals and Arithmetic in the Middle Ages written by Charles Burnett and published by Routledge. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of studies by Charles Burnett brings together articles on the different numeral forms used in the Middle Ages. Some 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.

Spiritual Calculations

Author : Christine Cooper-Rompato
Publisher : Penn State Press
ISBN 13 : 0271092033
Total Pages : 263 pages
Book Rating : 4.2/5 (71 download)

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Book Synopsis Spiritual Calculations by : Christine Cooper-Rompato

Download or read book Spiritual Calculations written by Christine Cooper-Rompato and published by Penn State Press. This book was released on 2021-12-13 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval English sermons teem with examples of quantitative reasoning, ranging from the arithmetical to the numerological, and regularly engage with numerical concepts. Examining sermons written in Middle English and Latin, this book reveals that popular English-speaking audiences were encouraged to engage in a wide range of numerate operations in their daily religious practices. Medieval sermonists promoted numeracy as a way for audiences to appreciate divine truth. Their sermons educated audiences in a hybrid form of numerate practice—one that relied on individuals’ pragmatic quantitative reasoning, which, when combined with spiritual interpretations of numbers provided by the preacher, created a deep and rich sense in which number was the best way to approach the sacred mysteries of the world as well as to learn how one could best live as a Christian. Analyzing both published and previously unpublished sermons and sermon cycles, Christine Cooper-Rompato explores the use of numbers, arithmetic, and other mathematical operations to better understand how medieval laypeople used math as a means to connect with God. Spiritual Calculations enhances our understanding of medieval sermons and sheds new light on how receptive audiences were to this sophisticated rhetorical form. It will be welcomed by scholars of Middle English literature, medieval sermon studies, religious experience, and the history of mathematics.

The Ciphers of the Monks

Author : David A. King
Publisher : Franz Steiner Verlag
ISBN 13 : 9783515076401
Total Pages : 518 pages
Book Rating : 4.0/5 (764 download)

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Book Synopsis The Ciphers of the Monks by : David A. King

Download or read book The Ciphers of the Monks written by David A. King and published by Franz Steiner Verlag. This book was released on 2001 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive study of an ingenious number-notation from the Middle Ages that was devised by monks and mainly used in monasteries. A simple notation for representing any number up to 99 by a single cipher, somehow related to an ancient Greek shorthand, first appeared in early-13th-century England, brought from Athens by an English monk. A second, more useful version, due to Cistercian monks, is first attested in the late 13th century in what is today the border country between Belgium and France: with this any number up to 9999 can be represented by a single cipher. The ciphers were used in scriptoria - for the foliation of manuscripts, for writing year-numbers, preparing indexes and concordances, numbering sermons and the like, and outside the scriptoria - for marking the scales on an astronomical instrument, writing year-numbers in astronomical tables, and for incising volumes on wine-barrels. Related notations were used in medieval and Renaissance shorthands and coded scripts. This richly-illustrated book surveys the medieval manuscripts and Renaissance books in which the ciphers occur, and takes a close look at an intriguing astrolabe from 14th-century Picardy marked with ciphers. With Indices. "Mit Kings luzider Beschreibung und Bewertung der einzelnen Funde und ihrer Beziehungen wird zugleich die Forschungsgeschichte - die bis dato durch Widerspruechlichkeit und Diskontinuit�t gepr�gt ist - umfassend aufgearbeitet." Zeitschrift fuer Germanistik.

A Brief Hfistory of Arthimetic During the Middle Ages

Author : Mabel Deborah Walsh
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (53 download)

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Book Synopsis A Brief Hfistory of Arthimetic During the Middle Ages by : Mabel Deborah Walsh

Download or read book A Brief Hfistory of Arthimetic During the Middle Ages written by Mabel Deborah Walsh and published by . This book was released on 1909 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Leonard of Pisa and the New Mathematics of the Middle Ages

Author : Joseph Gies
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Leonard of Pisa and the New Mathematics of the Middle Ages by : Joseph Gies

Download or read book Leonard of Pisa and the New Mathematics of the Middle Ages written by Joseph Gies and published by . This book was released on 1969 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: A portrait of Pisa, the 13th century capital of the commercial revolution, with emphasis on the contribution of Leonard Fibonacci to the new mathematics.

The Man of Numbers

Author : Keith Devlin
Publisher : A&C Black
ISBN 13 : 1408824574
Total Pages : 193 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis The Man of Numbers by : Keith Devlin

Download or read book The Man of Numbers written by Keith Devlin and published by A&C Black. This book was released on 2011-11-07 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential. The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance. Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers - the Fibonacci sequence - used by some to predict the rise and fall of financial markets, and evident in myriad biological structures. In The Man of Numbers, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.

The Development of Mathematics in Medieval Europe

Author : Menso Folkerts
Publisher : Taylor & Francis
ISBN 13 : 1040236693
Total Pages : 355 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Development of Mathematics in Medieval Europe by : Menso Folkerts

Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Taylor & Francis. This book was released on 2024-10-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Story of Reckoning in the Middle Ages

Author : Florence Annie Yeldham
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis The Story of Reckoning in the Middle Ages by : Florence Annie Yeldham

Download or read book The Story of Reckoning in the Middle Ages written by Florence Annie Yeldham and published by . This book was released on 1926 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Mathematics

Author : Florian Cajori
Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis A History of Mathematics by : Florian Cajori

Download or read book A History of Mathematics written by Florian Cajori and published by . This book was released on 1913 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sourcebook in the Mathematics of Medieval Europe and North Africa

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691156859
Total Pages : 592 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Sourcebook in the Mathematics of Medieval Europe and North Africa by : Victor J. Katz

Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-11-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Number Words and Number Symbols

Author : Karl Menninger
Publisher : Courier Corporation
ISBN 13 : 0486319776
Total Pages : 514 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Number Words and Number Symbols by : Karl Menninger

Download or read book Number Words and Number Symbols written by Karl Menninger and published by Courier Corporation. This book was released on 2013-04-10 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.

Word, Image, Number

Author : John J. Contreni
Publisher : Sismel
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Word, Image, Number by : John J. Contreni

Download or read book Word, Image, Number written by John J. Contreni and published by Sismel. This book was released on 2002 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Medieval Number Symbolism

Author : Vincent Foster Hopper
Publisher : Courier Corporation
ISBN 13 : 9780486414300
Total Pages : 276 pages
Book Rating : 4.4/5 (143 download)

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Book Synopsis Medieval Number Symbolism by : Vincent Foster Hopper

Download or read book Medieval Number Symbolism written by Vincent Foster Hopper and published by Courier Corporation. This book was released on 2000-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this classic study, a noted scholar reveals "how deeply rooted in medieval thought was the consciousness of numbers, not as mathematical tools, nor yet as the counters in a game, but as fundamental realities, alive with memories and eloquent with meaning."

Vandals to Visigoths

Author : Karen Eva Carr
Publisher : University of Michigan Press
ISBN 13 : 9780472108916
Total Pages : 302 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Vandals to Visigoths by : Karen Eva Carr

Download or read book Vandals to Visigoths written by Karen Eva Carr and published by University of Michigan Press. This book was released on 2002 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sheds light on settlement patterns in early medieval Spain and demonstrates the local effect of the collapse of Roman Government

Episodes in the Mathematics of Medieval Islam

Author : J.L. Berggren
Publisher : Springer
ISBN 13 : 1493937804
Total Pages : 266 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Episodes in the Mathematics of Medieval Islam by : J.L. Berggren

Download or read book Episodes in the Mathematics of Medieval Islam written by J.L. Berggren and published by Springer. This book was released on 2017-01-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Medieval Culture. Volume 3

Author : Albrecht Classen
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110392925
Total Pages : 1523 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Handbook of Medieval Culture. Volume 3 by : Albrecht Classen

Download or read book Handbook of Medieval Culture. Volume 3 written by Albrecht Classen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-31 with total page 1523 pages. Available in PDF, EPUB and Kindle. Book excerpt: A follow-up publication to the Handbook of Medieval Studies, this new reference work turns to a different focus: medieval culture. Medieval research has grown tremendously in depth and breadth over the last decades. Particularly our understanding of medieval culture, of the basic living conditions, and the specific value system prevalent at that time has considerably expanded, to a point where we are in danger of no longer seeing the proverbial forest for the trees. The present, innovative handbook offers compact articles on essential topics, ideals, specific knowledge, and concepts defining the medieval world as comprehensively as possible. The topics covered in this new handbook pertain to issues such as love and marriage, belief in God, hell, and the devil, education, lordship and servitude, Christianity versus Judaism and Islam, health, medicine, the rural world, the rise of the urban class, travel, roads and bridges, entertainment, games, and sport activities, numbers, measuring, the education system, the papacy, saints, the senses, death, and money.

The Abacus and the Cross

Author : Nancy Marie Brown
Publisher : Basic Books
ISBN 13 : 0465022952
Total Pages : 330 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Abacus and the Cross by : Nancy Marie Brown

Download or read book The Abacus and the Cross written by Nancy Marie Brown and published by Basic Books. This book was released on 2010-12-07 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.