Download or read book Jacopo da Firenze s Tractatus Algorismi and Early Italian Abbacus Culture written by Jens Høyrup and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lacroix and the Calculus written by João Caramalho Domingues and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.
Download or read book Learning through Images in the Italian Renaissance written by Federico Botana and published by Cambridge University Press. This book was released on 2020-07-02 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the affluent merchant class of fifteenth-century Florence, the education of future generations was a fundamental matter. Together with texts, images played an important role in the development of the young into adult citizens. In this book, Federico Botana demonstrates how illustrated manuscripts of vernacular texts read by the Florentine youth facilitated understanding and memorisation of basic principles and knowledge. They were an important means of acquiring skills then considered necessary to gain the respect of others, to prosper as merchants, and to participate in civic life. Botana focuses on illustrated texts that were widely read in Quattrocento Florence: the Fior di virtù (a moral treatise including a bestiary), the Esopo volgarizzato (Aesop's Fables in Tuscan), the Sfera by Goro Dati (a poem on cosmology and geography), and mathematical manuals known as libri d'abbaco. He elucidates, in light of original sources and medieval and modern cognitive theory, the mechanisms that empowered illustrations to transmit knowledge in the Italian Renaissance.
Download or read book Robert Recorde written by and published by University of Wales Press. This book was released on 2012-09-15 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research has revealed new information about the Welsh Tudor mathematician, Robert Recorde who invented the equals sign (=) – what inspired his work and what was its influence on the development of mathematics education in the English-speaking world. The findings of that research, presented at a commemorative conference in 2008, form the core of this publication. The book begins with an account of Recorde’s life and an overview of his work in mathematics, medicine and cosmography. Individual chapters concentrate on each of his books in turn, taken chronologically, and are supplemented by chapters that present historical perspectives of Recorde’s work and its wider European links and one that sets Recorde’s work within the general knowledge economy.
Download or read book Latin into Hebrew Texts and Studies written by Alexander Fidora and published by BRILL. This book was released on 2013-08-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work, Latin-into-Hebrew: Texts and Studies sheds new light on an under-investigated phenomenon of European medieval intellectual history: the transmission of knowledge and texts from Latin into Hebrew between the twelfth and the fifteenth century. Because medieval Jewish philosophy and science in Christian Europe drew mostly on Hebrew translations from Arabic, the significance of the input from the Christian majority culture has been neglected. Latin-into-Hebrew: Texts and Studies redresses the balance. It highlights the various phases of Latin-into-Hebrew translations and considers their disparity in time, place, and motivations. Special emphasis is put on the singular role of the translations of Latin medical and philosophical literature. Volume One: Studies, offers 18 studies and Volume Two: Texts in Contexts, includes editions and analyses of hitherto unpublished texts of medieval Latin-into-Hebrew translations. Both volumes are available separately or together as a set. This groundbreaking work is indispensable for any scholar interested in the history of medieval philosophic and scientific thought in Hebrew, Latin, and Arabic in relationship to the vicissitudes of Jewish-Christian relations.
Download or read book Mastering the History of Pure and Applied Mathematics written by Toke Knudsen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-06-04 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.
Download or read book Handbook on the History of Mathematics Education written by Alexander Karp and published by Springer Science & Business Media. This book was released on 2014-01-25 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.
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.
Download or read book Quid est secretum written by Ralph Dekoninck and published by BRILL. This book was released on 2020-09-10 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines how secret knowledge was represented visually in ways that both revealed and concealed the true nature of that knowledge, giving and yet impeding access to it.
Download or read book Making and Breaking Mathematical Sense written by Roi Wagner and published by Princeton University Press. This book was released on 2017-01-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Download or read book Rewriting the History of School Mathematics in North America 1607 1861 written by Nerida Ellerton and published by Springer Science & Business Media. This book was released on 2012-01-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.
Download or read book Imagined Civilizations written by Roger Hart and published by JHU Press. This book was released on 2013-08-15 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Roger Hart debunks the long-held belief that linear algebra developed independently in the West. Accounts of the seventeenth-century Jesuit Mission to China have often celebrated it as the great encounter of two civilizations. The Jesuits portrayed themselves as wise men from the West who used mathematics and science in service of their mission. Chinese literati-official Xu Guangqi (1562–1633), who collaborated with the Italian Jesuit Matteo Ricci (1552–1610) to translate Euclid’s Elements into Chinese, reportedly recognized the superiority of Western mathematics and science and converted to Christianity. Most narratives relegate Xu and the Chinese to subsidiary roles as the Jesuits' translators, followers, and converts. Imagined Civilizations tells the story from the Chinese point of view. Using Chinese primary sources, Roger Hart focuses in particular on Xu, who was in a position of considerable power over Ricci. The result is a perspective startlingly different from that found in previous studies. Hart analyzes Chinese mathematical treatises of the period, revealing that Xu and his collaborators could not have believed their declaration of the superiority of Western mathematics. Imagined Civilizations explains how Xu’s West served as a crucial resource. 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.
Download or read book Between Raphael and Galileo written by Alexander Marr and published by University of Chicago Press. This book was released on 2022-08-22 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although largely unknown today, during his lifetime Mutio Oddi of Urbino (1569–1639) was a highly esteemed scholar, teacher, and practitioner of a wide range of disciplines related to mathematics. A prime example of the artisan-scholar so prevalent in the late Renaissance, Oddi was also accomplished in the fields of civil and military architecture and the design and retail of mathematical instruments, as well as writing and publishing. In Between Raphael and Galileo, Alexander Marr resurrects the career and achievements of Oddi in order to examine the ways in which mathematics, material culture, and the book shaped knowledge, society, and the visual arts in late Renaissance Italy. Marr scrutinizes the extensive archive of Oddi papers, documenting Oddi’s collaboration with prominent intellectuals and officials and shedding new light on the practice of science and art during his day. What becomes clear is that Oddi, precisely because he was not spectacularly innovative and did not attain the status of a hero in modern science, is characteristic of the majority of scientific practitioners and educators active in this formative age, particularly those whose energetic popularization of mathematics laid the foundations for the Scientific Revolution. Marr also demonstrates that scientific change in this era was multivalent and contested, governed as much by friendship as by principle and determined as much by places as by purpose. Plunging the reader into Oddi’s world, Between Raphael and Galileo is a finely wrought and meticulously researched tale of science, art, commerce, and society in the late sixteenth and early seventeenth century. It will become required reading for any scholar interested in the history of science, visual art, and print culture of the Early Modern period.
Download or read book A Brief History of Numbers written by Leo Corry and published by OUP Oxford. This book was released on 2015-08-27 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.
Download or read book Selected Essays on Pre and Early Modern Mathematical Practice written by Jens Høyrup and published by Springer Nature. This book was released on 2019-09-20 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.
Download or read book Logic and Theory of Algorithms written by Arnold Beckmann and published by Springer. This book was released on 2008-06-11 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: CiE 2008: Logic and Theory of Algorithms Athens, Greece, June 15–20, 2008 Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical devel- ment, and applications. Among the aims of the network is to advance our t- oretical understanding of what can and cannot be computed, by any means of computation. Its scienti?c vision is broad: computations may be performed with discrete or continuous data by all kinds of algorithms, programs, and - chines. Computations may be made by experimenting with any sort of physical system obeying the laws of a physical theory such as Newtonian mechanics, quantum theory, or relativity. Computations may be very general, depending on the foundations of set theory; or very speci?c, using the combinatorics of ?nite structures. CiE also works on subjects intimately related to computation, especially theories of data and information, and methods for formal reasoning about computations. The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, computational learning. Applications are everywhere,especially, in algebra,analysisand geometry, or data types and p- gramming. Within CiE there is general recognition of the underlying relevance of computability to physics and a broad range of other sciences, providing as it does a basic analysis of the causal structure of dynamical systems. Thisvolume,Logic andTheory of Algorithms,istheproceedingsofthefourth in a series of conferences of CiE that was held at the University of Athens, June 15–20, 2008.
Download or read book Scientific Sources and Teaching Contexts Throughout History Problems and Perspectives written by Alain Bernard and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the textual, social, cultural, practical and institutional environments to which the expression “teaching and learning contexts” refers. It reflects on the extent to which studying such environments helps us to better understand ancient or modern sources, and how notions of “teaching” and “learning” are to be understood. Tackling two problems: the first, is that of certain sources of scientific knowledge being studied without taking into account the various “contexts” of transmission that gave this knowledge a long-lasting meaning. The second is that other sources are related to teaching and learning activities, but without being too precise and demonstrative about the existence and nature of this “teaching context”. In other words, this book makes clear what is meant by “context” and highlights the complexity of the practice hidden by the words “teaching” and “learning”. Divided into three parts, the book makes accessible teaching and learning situations, presents comparatist approaches, and emphasizes the notion of teaching as projects embedded in coherent treatises or productions.
