Download or read book The World of the Abbaco written by Jens Høyrup and published by Springer Nature. This book was released on 2024 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Explorations and False Trails written by Jens Høyrup and published by Springer Nature. This book was released on 2024 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique perspective on the history of European algebra up to the advent of Viète and Descartes. The standard version of this history is written on the basis of a narrow and misleading source basis: the Latin translations of al-Khwārizmī, Fibonacci's Liber abbaci, Luca Pacioli's Summa, Cardano's Ars magna -- with neither Fibonacci nor Pacioli being read in detail. The existence of the Italian abacus and German cossic algebra is at most taken note of but they are not read, leading to the idea that Viète's and Descartes' use of genuine symbolism (not only abbreviations), many unknowns, and abstract coefficients seem to be miraculous leaps. This book traces the meandering development of all these techniques along with the mostly ignored but very important parenthesis function, by means of detailed readings of all pertinent sources, including the abacus and cossic algebra and French algebra from Chuquet to Gosselin. It argues for a necessary distinction between abbreviating glyphs and genuine symbols serving within a symbolic syntax, which allows it to trace the emergence of symbolic calculation. Characterization of the mathematical practice of the environment within which Viète and Descartes moved allows for an explanation of how these two figures did not even need to invent abstract coefficients but rather received them as a gift.
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 World of Renaissance Italy 2 volumes written by Joseph P. Byrne and published by Bloomsbury Publishing USA. This book was released on 2017-06-22 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students of the Italian Renaissance who wish to go beyond the standard names and subjects will find in this text abundant information on the lives, customs, beliefs, and practices of those who lived during this exciting time period. The World of Renaissance Italy: A Daily Life Encyclopedia engages all of the Italian peninsula from the Black Death (1347–1352) to 1600. Unlike other encyclopedic works about the Renaissance era, this book deals exclusively with Italy, revealing the ways common Italian people lived and experienced the events and technological developments that marked the Renaissance era. The coverage specifically spotlights marginal or traditionally marginalized groups, including women, homosexuals, Jews, the elderly, and foreign communities in Italian cities. The entries in this two-volume set are organized into 10 sections of 25 alphabetically listed entries each. Among the broad sections are art, fashion, family and gender, food and drink, housing and community, politics, recreation and social customs, and war. The "See Also" sources for each article are listed by section for easy reference, a feature that students and researchers will greatly appreciate. The extensive collection of contemporary documents include selections from a diary, letters, a travel journal, a merchant's inventory, Inquisition testimony, a metallurgical handbook, and text by an artist that describes what the author feels constitutes great work. Each of the primary source documents accompanies a specific article and provides an added dimension and degree of insight to the material.
Download or read book Renaissance Education Between Religion and Politics written by Paul F. Grendler and published by Taylor & Francis. This book was released on 2024-10-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few eras took education so seriously or were so innovative in their approaches to schools and universities as the Renaissance. At the same time, religious and political concerns strongly influenced educational developments. This third volume of articles by Paul F. Grendler explores the close connections between education, religion, and politics at several levels and in different contexts. It combines detailed research into various kinds of schools with broad overviews of European and especially Italian education. The lead article compares Italian and German universities and assesses the impact of the Protestant Reformation on the latter. Even Erasmus, the great critic of university theologians, felt the need to acquire a doctorate in theology and did so. In Italy, the new schools of the Jesuits and the Piarists taught boys and young men gratis, but not without opposition. Two articles deal with students, the consumers of education. While teachers and students were most directly involved in schools and universities, ecclesiastical and political authorities, including the leaders of the Republic of Venice, the subject of the final study, kept a watchful eye on them.
Download or read book Cartography in Antiquity and the Middle Ages written by and published by BRILL. This book was released on 2008-08-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In scope, this book matches The History of Cartography, vol. 1 (1987) edited by Brian Harley and David Woodward. Now, twenty years after the appearance of that seminal work, classicists and medievalists from Europe and North America highlight, distill and reflect on the remarkably productive progress made since in many different areas of the study of maps. The interaction between experts on antiquity and on the Middle Ages evident in the thirteen contributions offers a guide to the future and illustrates close relationships in the evolving practice of cartography over the first millennium and a half of the Christian era. Contributors are Emily Albu, Raymond Clemens, Lucy Donkin, Evelyn Edson, Tom Elliott, Patrick Gauthier Dalché, Benjamin Kedar, Maja Kominko, Natalia Lozovsky, Yossef Rapoport, Emilie Savage-Smith, Camille Serchuk, Richard Talbert, and Jennifer Trimble.
Download or read book Inventing the World written by Meredith Small and published by Simon and Schuster. This book was released on 2020-12-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: An epic cultural journey that reveals how Venetian ingenuity and inventions—from sunglasses and forks to bonds and currency—shaped modernity. How did a small, isolated city—with a population that never exceeded 100,000, even in its heyday—come to transform western civilization? Acclaimed anthropologist Meredith Small, the author of the groundbreaking Our Babies, Ourselves examines the the unique Venetian social structure that was key to their explosion of creativity and invention that ranged from the material to social. Whether it was boats or money, medicine or face cream, opera, semicolons, tiramisu or child-labor laws, these all originated in Venice and have shaped contemporary notions of institutions and conventions ever since. The foundation of how we now think about community, health care, money, consumerism, and globalization all sprung forth from the Laguna Veneta. But Venice is far from a historic relic or a life-sized museum. It is a living city that still embraces its innovative roots. As climate change effects sea-level rises, Venice is on the front lines of preserving its legacy and cultural history to inspire a new generation of innovators.
Download or read book A World of Wordes written by John Florio and published by . This book was released on 1598 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Secret Formula written by Fabio Toscano and published by Princeton University Press. This book was released on 2024-12-03 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The legendary Renaissance math duel that ushered in the modern age of algebra The Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccolò Tartaglia was a talented and ambitious teacher who possessed a secret formula—the key to unlocking a seemingly unsolvable, two-thousand-year-old mathematical problem. He wrote it down in the form of a poem to prevent other mathematicians from stealing it. Gerolamo Cardano was a physician, gifted scholar, and notorious gambler who would not hesitate to use flattery and even trickery to learn Tartaglia's secret. Set against the backdrop of sixteenth-century Italy, The Secret Formula provides new and compelling insights into the peculiarities of Renaissance mathematics while bringing a turbulent and culturally vibrant age to life. It was an era when mathematicians challenged each other in intellectual duels held outdoors before enthusiastic crowds. Success not only enhanced the winner's reputation, but could result in prize money and professional acclaim. After hearing of Tartaglia's spectacular victory in one such contest in Venice, Cardano invited him to Milan, determined to obtain his secret by whatever means necessary. Cardano's intrigues paid off. In 1545, he was the first to publish a general solution of the cubic equation. Tartaglia, eager to take his revenge by establishing his superiority as the most brilliant mathematician of the age, challenged Cardano to the ultimate mathematical duel. A lively account of genius, betrayal, and all-too-human failings, The Secret Formula reveals the epic rivalry behind one of the fundamental ideas of modern algebra.
Download or read book The World of Leonardo Da Vinci written by Ivor Blashka Hart and published by A. M. Kelley. This book was released on 1962 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a picture of the genius as a pioneer of modern science, against a panoramic view of the politics, culture, science and technology of the times.
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 Toward Mathematics for All written by Nerida Ellerton and published by Springer Nature. This book was released on 2022-06-27 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. Unlike most other histories of mathematics now available, the emphasis is on the gradual emergence of "mathematics for all" programs and associated changes in thinking which drove this emergence. The book takes account of changing ideas about intended, implemented and attained mathematics curricula for learners of all ages. It also pays attention to the mathematics itself, and to how it was taught and learned.
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 Samuel Pepys Isaac Newton James Hodgson and the Beginnings of Secondary School Mathematics written by Nerida F. Ellerton and published by Springer. This book was released on 2017-03-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells one of the greatest stories in the history of school mathematics. Two of the names in the title—Samuel Pepys and Isaac Newton—need no introduction, and this book draws attention to their special contributions to the history of school mathematics. According to Ellerton and Clements, during the last quarter of the seventeenth century Pepys and Newton were key players in defining what school mathematics beyond arithmetic and elementary geometry might look like. The scene at which most of the action occurred was Christ’s Hospital, which was a school, ostensibly for the poor, in central London. The Royal Mathematical School (RMS) was established at Christ’s Hospital in 1673. It was the less well-known James Hodgson, a fine mathematician and RMS master between 1709 and 1755, who demonstrated that topics such as logarithms, plane and spherical trigonometry, and the application of these to navigation, might systematically and successfully be taught to 12- to 16-year-old school children. From a wider history-of-school-education perspective, this book tells how the world’s first secondary-school mathematics program was created and how, slowly but surely, what was being achieved at RMS began to influence school mathematics in other parts of Great Britain, Europe, and America. The book has been written from the perspective of the history of school mathematics. Ellerton and Clements’s analyses of pertinent literature and of archival data, and their interpretations of those analyses, have led them to conclude that RMS was the first major school in the world to teach mathematics-beyond-arithmetic, on a systematic basis, to students aged between 12 and 16. Throughout the book, Ellerton and Clements examine issues through the lens of a lag-time theoretical perspective. From a historiographical perspective, this book emphasizes how the history of RMS can be portrayed in very different ways, depending on the vantage point from which the history is written. The authors write from the vantage point of international developments in school mathematics education and, therefore, their history of RMS differs from all other histories of RMS, most of which were written from the perspective of the history of Christ’s Hospital.
Download or read book A Moral Art written by Paul F. Gehl and published by Cornell University Press. This book was released on 2019-05-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on one distinctive element of the early Renaissance reading public—boys who studied Latin grammar in Florence—Paul F. Gehl sheds new light on the history of schooling in the West. Far from advancing the cause of humanism, he shows, the elementary grammar masters of fourteenth-century Florence worked against it in the name of morality.
Download or read book Finding Fibonacci written by Keith Devlin and published by Princeton University Press. This book was released on 2019-07-09 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers--which, it so happens, he didn't invent--Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci--the "Book of Calculation"--Introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized. Finding Fibonacci is Devlin's compelling firsthand account of his ten-year quest to tell Fibonacci's story. Devlin, a math expositor himself, kept a diary of the undertaking, which he draws on here to describe the project's highs and lows, its false starts and disappointments, the tragedies and unexpected turns, some hilarious episodes, and the occasional lucky breaks. You will also meet the unique individuals Devlin encountered along the way, people who, each for their own reasons, became fascinated by Fibonacci, from the Yale professor who traced modern finance back to Fibonacci to the Italian historian who made the crucial archival discovery that brought together all the threads of Fibonacci's astonishing story. Fibonacci helped to revive the West as the cradle of science, technology, and commerce, yet he vanished from the pages of history. This is Devlin's search to find him. -- Back cover.
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.
