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mathematics --- epistemology --- history of mathematics --- pure mathematics --- applied mathematics

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This open access book explores commentaries on an influential text of pre-Copernican astronomy in Europe. It features essays that take a close look at key intellectuals and how they engaged with the main ideas of this qualitative introduction to geocentric cosmology. Johannes de Sacrobosco compiled his Tractatus de sphaera during the thirteenth century in the frame of his teaching activities at the then recently founded University of Paris. It soon became a mandatory text all over Europe. As a result, a tradition of commentaries to the text was soon established and flourished until the second half of the 17th century. Here, readers will find an informative overview of these commentaries complete with a rich context. The essays explore the educational and social backgrounds of the writers. They also detail how their careers developed after the publication of their commentaries, the institutions and patrons they were affiliated with, what their agenda was, and whether and how they actually accomplished it. The editor of this collection considers these scientific commentaries as genuine scientific works. The contributors investigate them here not only in reference to the work on which it comments but also, and especially, as independent scientific contributions that are socially, institutionally, and intellectually contextualized around their authors.

Literature: history & criticism --- Interdisciplinary studies --- European history --- History of mathematics --- History of science --- History. --- Europe—History. --- Mathematics. --- Books—History. --- History of Science. --- European History. --- History of Mathematical Sciences. --- History of the Book. --- Humanities and Social Sciences, multidisciplinary. --- Math --- Science --- Annals --- Auxiliary sciences of history --- History --- Europe—History --- Mathematics --- Books—History --- Astronomy --- Sacro Bosco, Joannes de, --- Bosco, Joannes de Sacro, --- De Sacro Bosco, Joannes, --- Giovanni di Sacrobosco, --- Halifax, John, --- Holybush, Joannes, --- Holywood, Jean de, --- Holywood, Joannes, --- Holywood, John, --- Ioannes de Sacrobusco, --- Iohannes de Sacro Busto, --- Joannes de Sacro Bosco, --- Joannes de Sacro Busco, --- Joannes de Sacro Busto, --- Joannes de Sacrobusco, --- Joannes de Sacrobusto, --- Sacro Bosco, Johannes de, --- Sacro Busco, Joannes de, --- Sacro Busto, Ioannes de, --- Sacro Busto, Iohannes de, --- Sacro Busto, Joannes de, --- Sacro Busto, Johannes de, --- Sacrobosco, Giovanni di --- Sacrobosco, Johannes de, --- Sacrobuschus, Joannes, --- Sacrobusco, Joannes de, --- Sacrobusto, Giovanni di, --- Sacrobusto, Joannes de,

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This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.

Mathematical models --- History. --- Models, Mathematical --- Simulation methods --- Models matemàtics --- Història --- Ciències socials --- Humanitats --- Ciències polítiques --- Conspiracions --- Cops d'Estat --- Cròniques --- Cronologia --- Demografia històrica --- Descobriments geogràfics --- Diplomàcia --- Escàndols --- Filosofia de la història --- Fonts històriques --- Història antiga --- Història constitucional --- Història contemporània --- Història de l'antropologia --- Història de l'art --- Història de l'urbanisme --- Història de la ciència --- Història de la civilització --- Història de la dona --- Història de la filosofia --- Història de la lingüística --- Història de la literatura --- Història de la psicologia --- Història de la tecnologia --- Història de la veterinària --- Història de les biblioteques --- Història del dret --- Història del llibre --- Història del transport --- Història eclesiàstica --- Història econòmica --- Història local --- Història medieval --- Història militar --- Història moderna --- Història pública --- Història social --- Història universal --- Historiografia --- Llocs històrics --- Migració de pobles --- Reis i sobirans --- Cinema històric --- Protohistòria --- Sociologia històrica --- Ciències auxiliars de la història --- Didàctica de la història --- Historiadores --- Historiadors --- Previsió --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- history of mathematics: 19th to the 21st century --- mathematical model --- model theory --- mathematization of nature --- Mathematics --- Història.