Selected Essays On Pre And Early Modern Mathematical Practice
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Selected Essays On Pre And Early Modern Mathematical Practice
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Author : Jens Høyrup
language : en
Publisher: Springer Nature
Release Date : 2019-09-20
Selected Essays On Pre And Early Modern Mathematical Practice written by Jens Høyrup and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-20 with Mathematics categories.
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.
The World Of The Abbaco
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Author : Jens Høyrup
language : en
Publisher: Springer Nature
Release Date : 2024-03-25
The World Of The Abbaco written by Jens Høyrup and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-25 with Science categories.
The abbacus was a thorough and complete system of arithmetical calculations, which saw its dawn in the Indian and Arabic tradition of the Middle Ages, but which was developed in its fully fledged aspects especially in Italy, between Genoa, Milan, Venice and the region of Umbria. In this monograph, Høyrup explores how the abbacus tradition has developed in Europe, with a focus on Italy and Germany between the 14th and the 17th Century. With the analysis of texts from Fibonacci, Pacioli, and Stifel to name but a few, this book offers a critical historical analysis of the development and diffusion of a tradition of calculus that has deeply influenced the way in which mathematics has developed in the West. The primary purpose of the book is to present a fairly detailed portrait of the abbacus tradition as it developed historically; as will be argued, Fibonacci was much less important for the emergence of this tradition than mostly assumed – but since his importance isbroadly taken for granted, that argument needs to be made, for which reason Fibonacci’s Liber Abbaci is also described and analyzed in some depth. A secondary purpose is to show how the adoption of abbacus mathematics in German lands gave rise to the creation of a different tradition. The end of the book investigates the interplay of abbacus algebra with other intellectual currents which turned the whole mathematical undertaking upside-down in the 17th Century.
Research In History And Philosophy Of Mathematics
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Author : Maria Zack
language : en
Publisher: Springer Nature
Release Date : 2024-01-18
Research In History And Philosophy Of Mathematics written by Maria Zack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-18 with Mathematics categories.
This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics.Some of the topics explored include: A way to rethink how logic is taught to philosophy students by using a rejuvenated version of the Aristotelian idea of an argument schema A quantitative approach using data from Wikipedia to study collaboration between nineteenth-century British mathematicians The depiction and perception of Émilie Du Châtelet’s scientific contributions as viewed through the frontispieces designed for books written by or connected to her A study of the Cambridge Women’s Research Club, a place where British women were able to participate in scholarly scientific discourse in the middle of the twentieth century An examination of the research and writing process of mathematicians by looking at their drafts and other preparatory notes A global history of al-Khwārāzmī’s Kitāb al-jabr wa-l-muqābala as obtained by tracing its reception through numerous translations and commentaries Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Mastering The History Of Pure And Applied Mathematics
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Author : Toke Knudsen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-06-04
Mastering The History Of Pure And Applied Mathematics written by Toke Knudsen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-04 with History categories.
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.
Breaking Images
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Author : Brian Greer
language : en
Publisher: Open Book Publishers
Release Date : 2024-12-11
Breaking Images written by Brian Greer and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-11 with Education categories.
Mathematics is an activity—something we do—not just something inert that we study. This rich collection begins from that premise to explore the various social influences, institutional forces and lived realities that shape and mould the study and practice of mathematics, and are moulded by it in turn. These twenty-one essays explore questions of mathematics as a topic of philosophy, but also the nature and purpose of mathematics education and the role of mathematics in moulding citizens. It challenges the biases and prejudices inherent within uninformed histories of mathematics, including problems of white supremacy, the denial of cultural difference and the global homogenization of teaching methods. In particular, the book contrasts the effectiveness of mathematics and science in modelling physical phenomena and solving technical problems with its ineffectiveness in modelling social phenomena and solving human problems, and urges us to consider how mathematics might better meet the urgent crises of our age. The book addresses anybody who is interested in reflecting on the role of mathematics in society from different perspectives. It allows mathematicians to ponder about the cultural connections of mathematics and provides new perspectives for philosophical, sociological and cultural studies of mathematics. Because of the book’s emphasis on education in mathematics, it is especially interesting for mathematics teachers and teacher educators to challenge their understanding of the subject.
Ethics And Mathematics Education
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Author : Paul Ernest
language : en
Publisher: Springer Nature
Release Date : 2024-06-10
Ethics And Mathematics Education written by Paul Ernest and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-10 with Education categories.
This edited volume is an inquiry into the ethics of mathematics education, and to a lesser extent, the ethics of mathematics. The imposition of mathematics for all raises questions of ethics. What are the ethics of teaching school mathematics? What are the costs as well as the benefits? What are the ethical issues raised by the official aims of mathematics teaching, the planned curriculum, the pedagogies employed in school and college mathematics and the assessment systems? These questions are addressed in the book as well as what systems of ethics we might use. The volume ventures into a burgeoning new field. It offers a unique set of investigations, both theoretical and in terms of practices. It announces the ethics of mathematics education as a new subfield of research and includes valuable contributions from many of the best-known researchers in mathematics education; additionally, it is a valuable resource for students, teachers and researchers in the field. This is an enduring and classic source book in the field. From the wisdom of leading scholars to the little heard voices of students, this collection offers the reader many striking new insights into the ethics of mathematics and education.
Varia Mesopotamica
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Author : Jens Høyrup
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-05-16
Varia Mesopotamica written by Jens Høyrup and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-16 with Mathematics categories.
The central theme of the 21 essays collected here and written between 1989 and 2019 is Ancient Mesopotamian Mathematics - its techniques and concepts, but also its historical dynamics and its influence on later Greek and Arabic (and thus to later European) mathematical reasoning. In addition, the first essay deals with historical dynamics in the field of language and argues that the Sumerian as a language originated from a creole language of the slaves of the late fourth millennium and only thereafter developed into the elaborate Sumerian language attested in the late 3rd Millennium BCE.
Minerva Meets Vulcan Scientific And Technological Literature 1450 1750
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Author : Wolfgang Lefèvre
language : en
Publisher: Springer Nature
Release Date : 2021-06-16
Minerva Meets Vulcan Scientific And Technological Literature 1450 1750 written by Wolfgang Lefèvre and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-16 with Science categories.
This book offers a comprehensive study and account of the co-evolution of technological and scientific literature in the early modern period (1450-1750). It examines the various relationships of these literatures in six areas of knowledge – Architecture, Chemistry, Gunnery, Mechanical Engineering, Mining, and Practical Mathematics – which represent the main types of advanced technological and scientific knowledge of the era. These six fields of technologically advanced knowledge and their interrelations and interactions with learned knowledge are investigated and discussed through a specific lens: by focusing on the technological literature. Among present-day historians of science, it hardly remains controversial that contact and exchange between educated and practical knowledge played a significant role in the development of the natural sciences and technology in early modern Europe. Several paths for such exchange arose from the late Middle Ages onward due to the formation of an economy of knowledge that fostered contacts and exchange between the two worlds. How can this development be adequately described and how, on the basis of such a description, can the significance of this process for the early modern history of knowledge in the West be assessed? These are the overarching questions this book tries to answer. There exists a considerable amount of literature concerning several stations and events in the course of this long development process as well as its various aspects. As meritorious and indispensable as many of these studies are, none of them tried to portray this process as a whole with its most essential branches. What is more, many of them implicitly or explicitly took physics as a model of science, and thus highlighted mechanics and mechanical engineering as the model of all interrelations of practical and learned knowledge. By contrast, this book aims at a more complete portrait of the early modern interrelations and interactions between learned and practical knowledge. It tries to convey a new idea of the variety and disunity of these relations by discussing and comparing altogether six widely different fields of knowledge and practice. The targeted audience of this book is first of all the historians of science and technology. As one of the peer reviewers suggested – the book could very well become a textbook used for teaching the history of science and technology at universities. Furthermore, since the book addresses fundamental aspects of the significance emergence and development of modern science has for the self-image of the West, it can be expected that it will attract the attention and interest of a wider readership than professional historians.
Explorations And False Trails
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Author : Jens Høyrup
language : en
Publisher: Springer Nature
Release Date : 2024-07-29
Explorations And False Trails written by Jens Høyrup and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-29 with Science categories.
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.
The New Yearbook For Phenomenology And Phenomenological Philosophy
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Author : Burt Hopkins
language : en
Publisher: Routledge
Release Date : 2021-09-20
The New Yearbook For Phenomenology And Phenomenological Philosophy written by Burt Hopkins and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Philosophy categories.
Volume XVIII Special Issue: Gian-Carlo Rota and The End of Objectivity, 2019 Aim and Scope: The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer. Contributors: Gabriele Baratelli, Stefania Centrone, Giovanna C. Cifoletti, Jean-Marie Coquard, Steven Crowell, Deborah De Rosa, Daniele De Santis, Nicolas de Warren, Agnese Di Riccio, Aurélien Djian, Yuval Dolev, Mirja Hartimo, Burt C. Hopkins, Talia Leven, Ah Hyun Moon, Luis Niel, Fabrizio Palombi, Mario Ariel González Porta, Gian-Carlo Rota, Michael Roubach, Franco Trabattoni and Michele Vagnetti. Submissions: Manuscripts, prepared for blind review, should be submitted to the Editors ([email protected] and [email protected]) electronically via e-mail attachments.