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Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.
Reading Newton in Early Modern Europe investigates how Sir Isaac Newton’s Principia was read, interpreted and remodelled for a variety of readerships in eighteenth-century Europe. The editors, Mordechai Feingold and Elizabethanne Boran, have brought together papers which explore how, when, where and why the Principia was appropriated by readers in Italy, Spain, the Netherlands, England and Ireland. Particular focus is laid on the methods of transmission of Newtonian ideas via university textbooks and popular works written for educated laymen and women. At the same time, challenges to the Newtonian consensus are explored by writers such as Marius Stan and Catherine Abou-Nemeh who examine Cartesian and Leibnizian responses to the Principia. Eighteenth-century attempts to remodel Newton as a heretic are explored by Feingold, while William R. Newman draws attention to vital new sources highlighting the importance of alchemy to Newton. Contributors are: Catherine Abou-Nemeh, Claudia Addabbo, Elizabethanne Boran, Steffen Ducheyne, Moredechai Feingold, Sarah Hutton, Juan Navarro-Loidi, William R. Newman, Luc Peterschmitt, Anna Marie Roos, Marius Stan, and Gerhard Wiesenfeldt.
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.
Aimed at students and researchers in Mathematics, History of Mathematics and Science, this book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Mathematics has an amazingly long and rich history, it has been practised in every society and culture, with written records reaching back in some cases as far as four thousand years. This book will focus on just a small part of the story, in a sense the most recent chapter of it: the mathematics of western Europe from the sixteenth to the nineteenth centuries. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. Almost every source is given in its original form, not just in the language in which it was first written, but as far as practicable in the layout and typeface in which it was read by contemporaries.This book is designed to provide mathematics undergraduates with some historical background to the material that is now taught universally to students in their final years at school and the first years at college or university: the core subjects of calculus, analysis, and abstract algebra, along with others such as mechanics, probability, and number theory. All of these evolved into their present form in a relatively limited area of western Europe from the mid sixteenth century onwards, and it is there that we find the major writings that relate in a recognizable way to contemporary mathematics.
The development of a coherent, cohesive visual system of mathematics brought about a seminal shift in approaches towards abstract thinking in western Europe. Vernacular translations of Euclid’s Elements made these new and developing approaches available to a far broader readership than had previously been possible. Scholarship has explored the way that the language of mathematics leaked into the literary cultures of England and the Low Countries, but until now the role of visual metaphors of making and shaping in the establishment of mathematics as a practical tool has gone unexplored. Mathematics and the Craft of Thought sheds light on the remarkable culture shift surrounding the vernacular language translations of Euclid, and the geometrical imaginary that they sought to create. It shows how the visual language of early modern European geometry was constructed by borrowing and quoting from contemporary visual culture. The verbal and visual language of this form of mathematics, far from being simply immaterial, was designed to tantalize with material connotations. This book argues that, in a very real sense, practical geometry in this period was built out of craft metaphors.
Approaching from bibliographical, literary, cultural, and intercultural perspectives, this book establishes the importance of Hesperides, or the Muses’ Garden, a largely unexplored manuscript commonplace book to early modern English literature and culture in general. Hesperides, or the Muses’ Garden is a seventeenth-century manuscript commonplace book known primarily for its Shakespearean connections, which extracts works by dozens of early modern English authors, including Shakespeare, Bacon, Ben Jonson, and Milton. This book sheds light on the broader significance of Hesperides that refashions our full knowledge of early modern authorship and plagiarism, composition, reading practice, and canon formation. Following two introductory chapters are three topical chapters, which respectively discuss plagiarism and early modern English writing, early modern English reading practice, and early modern English canon formation. The final chapter further expands the field to ancient China, comparing commonplace books with Chinese leishu, exploring Matteo Ricci’s cross-cultural commonplace writing, and re-reading Shakespeare’s sonnets in light of Ricci’s On Friendship. The solid book will serve as a must read for scholars and students of early modern English literature, manuscript study, commonplace books, history of the book, and intercultural study.
Thomas Morel tells the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe. Mining and metallurgy were of great significance to the rulers of early modern Europe, required for the silver bullion that fuelled warfare and numerous other uses. Through seven lively case studies, he illustrates how geometry was used in metallic mines by practitioners using esoteric manuscripts. He describes how an original culture of accuracy and measurement paved the way for technical and scientific innovations, and fruitfully brought together the world of artisans, scholars and courts. Based on a variety of original manuscripts, maps and archive material, Morel recounts how knowledge was crafted and circulated among practitioners in the Holy Roman Empire and beyond. Specific chapters deal with the material culture of surveying, map-making, expertise and the political uses of quantification. By carefully reconstructing the religious, economic and cultural context of mining cities, Underground Mathematics contextualizes the rise of numbered information, practical mathematics and quantification in the early modern period.
This book is the first comprehensive examination of commercial drama as a reading genre in early modern England. Taking as its focus pre-Restoration printed drama’s most common format, the single-play quarto playbook, it interrogates what the form and content of these playbooks can tell us about who their earliest readers were, why they might have wanted to read contemporary commercial drama, and how they responded to the printed versions of plays that had initially been performed in the playhouses of early modern London. Focusing on professional plays printed in quarto between 1584 and 1660, the book juxtaposes the implications of material and paratextual evidence with analysis of historical traces of playreading in extant playbooks and manuscript commonplace books. In doing so, it presents more detailed and nuanced conclusions than have previously been enabled by studies focused on works by one author or on a single type of evidence.
Early Modern Universities: Networks of Higher Education contains twenty essays by experts on early modern academic networks. Using a variety of approaches to universities, schools, and academies throughout Europe and in Central America, the book suggests pathways for future research.