Descriptive Geometry The Spread Of A Polytechnic Art
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Descriptive Geometry The Spread Of A Polytechnic Art
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Author : Évelyne Barbin
language : en
Publisher: Springer
Release Date : 2019-07-01
Descriptive Geometry The Spread Of A Polytechnic Art written by Évelyne Barbin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-01 with Mathematics categories.
This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.
Ramified Surfaces
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Author : Michael Friedman
language : en
Publisher: Springer Nature
Release Date : 2022-09-26
Ramified Surfaces written by Michael Friedman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-26 with Mathematics categories.
The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon’s program of braid monodromy factorization. By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods. Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.
History Of Mathematics And Its Contexts
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Author : Andrea Verdugo Rohrer
language : en
Publisher: Springer Nature
Release Date : 2024-11-01
History Of Mathematics And Its Contexts written by Andrea Verdugo Rohrer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.
This book celebrates Gert Schubring's 80th birthday and honors his impactful contributions to the field of history of mathematics and its education. Recognized with the prestigious Hans Freudenthal Award in 2019, Schubring's academic work sets the tone for this volume. The thoughtfully curated articles in this collection offer insightful studies on textbooks and biographies of key figures in mathematics and mathematics education, contextualizing their significance within the broader historical landscape, and providing the readers with a deeper understanding of the development of the history of mathematics and its education. Researchers as well as curious readers and students will find this collection to be a valuable resource in the field.
Model And Mathematics From The 19th To The 21st Century
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Author : Michael Friedman
language : en
Publisher: Springer Nature
Release Date : 2022-08-08
Model And Mathematics From The 19th To The 21st Century written by Michael Friedman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-08 with Mathematics categories.
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.
Chasles And The Projective Geometry
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Author : Paolo Bussotti
language : en
Publisher: Springer Nature
Release Date : 2024-07-17
Chasles And The Projective Geometry written by Paolo Bussotti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-17 with Mathematics categories.
This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. Through an in-depth analysis of Chasles' extensive body of work, the author examines six pivotal arguments which collectively reshape the foundations of geometry. Chasles introduces a novel form of polarity, termed "parabolic," to the graphic context, so expressing the metric properties by means of this specific polarity—a foundational argument. Beyond the celebrated "Chasles theorem," he extends his analysis to the movement of a rigid body, employing concepts derived from projective geometry. This approach is consistently applied across diverse domains. Chasles employs the same methodology to analyze systems of forces. The fourth argument examined by the author concerns the principle of virtual velocities, which can also be addressed through a geometric analysis. In the fifth chapter, Chasles' philosophy of duality is explained. It is grounded on theduality principles of projective geometry. Finally, the author presents Chasles’ synthetic solution for the intricate problem of ellipsoid attraction—the sixth and concluding chapter. Throughout these explorations, Chasles engages in a dynamic scientific dialogue with leading physicists and mathematicians of his era, revealing diverse perspectives and nuances inherent in these discussions. Tailored for historians specializing in mathematics and geometry, this monograph also beckons philosophers of mathematics and science, offering profound insights into the philosophical, epistemological, and methodological dimensions of Chasles' groundbreaking contributions. Providing a comprehensive understanding of Chasles' distinctive perspective on 19th-century geometry, this work stands as a valuable resource for scholars and enthusiasts alike.
The Richness Of The History Of Mathematics
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Author : Karine Chemla
language : en
Publisher: Springer Nature
Release Date : 2023-11-27
The Richness Of The History Of Mathematics written by Karine Chemla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-27 with Mathematics categories.
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.
Analysing Historical Mathematics Textbooks
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Author : Gert Schubring
language : en
Publisher: Springer Nature
Release Date : 2023-01-04
Analysing Historical Mathematics Textbooks written by Gert Schubring and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-04 with Education categories.
This book is about the creation and production of textbooks for learning and teaching mathematics. It covers a period from Antiquity to Modern Times. The analysis begins by assessing principal cultures with a practice of mathematics. The tension between the role of the teacher and his oral mode, on the one hand, and the use of a written (printed) text, in their respective relation with the student, is one of the dimensions of the comparative analysis, conceived of as the ‘textbook triangle’. The changes in this tension with the introduction of the printing press are discussed. The book presents various national case studies (France, Germany, Italy) as well as analyses of the internationalisation of textbooks via transmission processes. As this topic has not been sufficiently explored in the literature, it will be very well received by scholars of mathematics education, mathematics teacher educators and anyone with an interest in the field.
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.
Advanced Research In Technologies Information Innovation And Sustainability
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Author : Teresa Guarda
language : en
Publisher: Springer Nature
Release Date : 2025-03-04
Advanced Research In Technologies Information Innovation And Sustainability written by Teresa Guarda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-04 with Computers categories.
This two-volume set, CCIS 2348 and CCIS 2349 ,constitutes the revised selected papers from the International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability 2024, ARTIIS 2024 Workshops, held in Santiago de Chile, Chile, in October 2024. The 55 full papers and 10 short papers presented in these two volumes were carefully reviewed and selected from 170 submissions. These proceedings include papers from the following workshops: Part I: Applications of Computational Mathematics to Simulation and Data Analysis (ACMaSDA 2024); Business, Technology and Digital Transformation (BTDT 2024); Intelligent Systems for Health and Medical Care (ISHMC 2024); Workshop on Gamification Application and Technologies (GAT 2024); Smart Tourism and Information Systems (SMARTTIS 2024). Part II: International Symposium on Technological Innovations for Industry and Society (ISTIIS 2024); International Workshop on Electronic and Telecommunications (IWET 2024); Boosting Tourism using New Technologies (#RTNT2024); Cybersecurity in Information and Communication Technologies (CICT 2024); Bridging Knowledge in a Fragmented World (glossaLAB 2024); Workshop on IoT Networks and Wireless for sustainability (WINWIN-4S 2024); Innovation in Educational Technology (JIUTE 2024).
Einstein At Work On Unified Field Theory
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Author : Tobias Schütz
language : en
Publisher: Springer Nature
Release Date : 2024-04-04
Einstein At Work On Unified Field Theory written by Tobias Schütz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-04 with Science categories.
This book meticulously examines over one hundred documents of research notes by Albert Einstein, many of which were previously unidentified, held in the archives of The Hebrew University of Jerusalem and the Einstein Papers Project at Caltech. Focused on Einstein's quest for a five-dimensional unified field theory of gravitation and electromagnetism, the analysis provides unique insights into his mathematical skills, thinking, and modus operandi. This academic exploration also investigates the role of mathematics in Einstein’s theorizing with a special focus on projective geometry and delta functions.