Download or read book Numerals and Arithmetic in the Middle Ages written by Charles Burnett and published by Taylor & Francis. This book was released on 2024-10-28 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Analyzing both published and previously unpublished sermons and sermon cycles, Christine Cooper-Rompato explores the use of numbers, arithmetic, and other mathematical operations to better understand how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.
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.
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.
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:
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Routledge. This book was released on 2006 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fibonacci s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Download or read book The Light Ages The Surprising Story of Medieval Science written by Seb Falk and published by W. W. Norton & Company. This book was released on 2020-11-17 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Named a Best Book of 2020 by The Telegraph, The Times, and BBC History Magazine An illuminating guide to the scientific and technological achievements of the Middle Ages through the life of a crusading astronomer-monk. "Falk’s bubbling curiosity and strong sense of storytelling always swept me along. By the end, The Light Ages didn’t just broaden my conception of science; even as I scrolled away on my Kindle, it felt like I was sitting alongside Westwyk at St. Albans abbey, leafing through dusty manuscripts by candlelight." —Alex Orlando, Discover Soaring Gothic cathedrals, violent crusades, the Black Death: these are the dramatic forces that shaped the medieval era. But the so-called Dark Ages also gave us the first universities, eyeglasses, and mechanical clocks. As medieval thinkers sought to understand the world around them, from the passing of the seasons to the stars in the sky, they came to develop a vibrant scientific culture. In The Light Ages, Cambridge science historian Seb Falk takes us on a tour of medieval science through the eyes of one fourteenth-century monk, John of Westwyk. Born in a rural manor, educated in England’s grandest monastery, and then exiled to a clifftop priory, Westwyk was an intrepid crusader, inventor, and astrologer. From multiplying Roman numerals to navigating by the stars, curing disease, and telling time with an ancient astrolabe, we learn emerging science alongside Westwyk and travel with him through the length and breadth of England and beyond its shores. On our way, we encounter a remarkable cast of characters: the clock-building English abbot with leprosy, the French craftsman-turned-spy, and the Persian polymath who founded the world’s most advanced observatory. The Light Ages offers a gripping story of the struggles and successes of an ordinary man in a precarious world and conjures a vivid picture of medieval life as we have never seen it before. An enlightening history that argues that these times weren’t so dark after all, The Light Ages shows how medieval ideas continue to color how we see the world today.
Download or read book Leonardo Pisano Fibonacci written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Download or read book Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective written by Mark Burgin and published by World Scientific. This book was released on 2022-04-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.
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.
Download or read book The Hidden Language of Graphic Signs written by John Bodel and published by Cambridge University Press. This book was released on 2021-08-19 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book zeroes in on hidden writing and alternative systems of graphic notation, exploring writings that deflect attention from language.
Download or read book Blockhead written by Joseph D'Agnese and published by Macmillan. This book was released on 2010-03-30 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A biography of Leonardo Fibonacci, the 12th century mathematician who discovered the numerical sequence named for him.
Download or read book Capitalism and Arithmetic written by Frank J. Swetz and published by Open Court Publishing. This book was released on 1987 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Treviso Arithmetic, or Arte dell'Abbaco, is an anonymous textbook in commercial arithmetic written in vernacular Venetian and published in Treviso, Italy in 1478. The Treviso Arithmetic is the earliest known printed mathematics book in the West, and one of the first printed European textbooks dealing with a science. The Treviso Arithmetic is a practical book intended for self study and for use in Venetian trade. It is written in vernacular Venetian and communicated knowledge to a large population. It helped to end the monopoly on mathematical knowledge and gave important information to the middle class. It was not written for a large audience, but was intended to teach mathematics of everyday currency. The Treviso became one of the first mathematics books written for the expansion of human knowledge. It provided an opportunity for the common person, rather than only a privileged few, to learn the art of computation. The Treviso Arithmetic provided an early example of the Hindu-Arabic numeral system computational algorithms."--Wikipedia.
Download or read book Let s Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays on Early Medieval Mathematics written by Menso Folkerts and published by Taylor & Francis. This book was released on 2023-06-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
