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In On Both Sides of the Strait of Gibraltar Julio Samsó studies the history of medieval astronomy in al-Andalus (Muslim Spain), the Maghrib and the Christian kingdoms of the Iberian Peninsula. He proves that the Arabic, Latin, Hebrew, Castilian and Catalan sources belong to the same tradition whose origin can be dated in the 11th century due to the changes in Ptolemy’s astronomical theory introduced by the Toledan astronomer Ibn al-Zarqālluh/Azarquiel. The book also analyses the role of al-Andalus and the Iberian Peninsula in the transmission of Islamic astronomy to Europe and justifies the fact that Eastern Islamic works published after ca. 950 CE were not accessible to medieval European scholars because they had not reached al-Andalus.
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...
This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.
The French in Macao in the Nineteenth and Early Twentieth Centuries: Literary, Cultural, and Historical Perspectives investigates the role that Macao played as a meeting place of the East and the West during this period of time and its decline as a Portuguese colony in the eyes of the Europeans. The book provides a comprehensive view of representations of Macao as portrayed by the French. These texts in French have been studied less than Chinese or Portuguese texts on Macao. Overall, the book contributes to the study of colonial history, cultural studies, and China in the late Qing dynasty.
These essays draw on recent and versatile work by museum staff, science educators, and teachers, showing what can be done with historical scientific instruments or replicas. Varied audiences - with members just like you - can be made aware of exciting aspects of history, observation, problem-solving, restoration, and scientific understanding, by the projects outlined here by professional practitioners. These interdisciplinary case studies, ranging from the cinematic to the hands-on, show how inspiration concerning science and the past can give intellectual pleasure as well as authentic learning to new participants, who might include people like you: students, teachers, curators, and the interested and engaged public. Contributors are Dominique Bernard, Paolo Brenni, Roland Carchon, Elizabeth Cavicchi, Stéphane Fischer, Peter Heering, J.W. Huisman, Françoise Khantine-Langlois, Alistair M. Kwan, Janet Laidla, Pierre Lauginie, Panagiotis Lazos, Pietro Milici, Flora Paparou, Frédérique Plantevin, Julie Priser, Alfonso San-Miguel, Danny Segers, Constantine (Kostas) Skordoulis, Trienke M. van der Spek, Constantina Stefanidou, and Giorgio Strano.
This book is a collection of scholarly studies in the history of mathematics education, very abbreviated versions of which were presented at the ICMI Congress in 2021. The book discusses issues in education in Brazil and Belgium, in Poland and Spain, in Russia and the United States. Probably the main factor that unifies the chapters of the book is their attention to key moments in the formation of the field of mathematics education. Topics discussed in the book include the formation and development of mathematics education for women; the role of the research mathematician in the formation of standards for writing textbooks; the formation of curricula and the most active figures in this forma...
The Routledge Handbook on the Sciences in Islamicate Societies provides a comprehensive survey on science in the Islamic world from the 8th to the 19th century. Across six sections, a group of subject experts discuss and analyze scientific practices across a wide range of Islamicate societies. The authors take into consideration several contexts in which science was practiced, ranging from intellectual traditions and persuasions to institutions, such as courts, schools, hospitals, and observatories, to the materiality of scientific practices, including the arts and craftsmanship. Chapters also devote attention to scientific practices of minority communities in Muslim majority societies, and ...
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.