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Model and Mathematics: From the 19th to the 21st Century
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Model and Mathematics: From the 19th to the 21st Century/ edited by Michael Friedman, Karin Krauthausen.
其他作者:
Krauthausen, Karin.
面頁冊數:
VI, 445 p. 128 illus., 81 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
History of Science. -
電子資源:
https://doi.org/10.1007/978-3-030-97833-4
ISBN:
9783030978334
Model and Mathematics: From the 19th to the 21st Century
Model and Mathematics: From the 19th to the 21st Century
[electronic resource] /edited by Michael Friedman, Karin Krauthausen. - 1st ed. 2022. - VI, 445 p. 128 illus., 81 illus. in color.online resource. - Trends in the History of Science,2297-296X. - Trends in the History of Science,.
How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes between 1830 and 1950. Introduction -- Knowing by Drawing: Geometric Material Models in 19th Century France -- Wilhelm Fiedler and his Models—the Polytechnic Side -- Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry -- Modeling Parallel Transport -- The great yogurt project: models and symmetry principles in early particle physics -- Interview with Myfanwy Evans: Entanglements on and Models of Periodic Minimal Surfaces -- The dialectics archetypes / types (universal categorical constructions / concrete models) in the work of Alexander Grothendieck -- ‘Analogies,’ ‘Interpretations,’ ‘Images,’ ‘Systems’ and ‘Models’: Some Remarks on the History of Abstract Representation in the Sciences since the Nineteenth Century -- Mappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking circa 1900 -- Thinking with Notations: Epistemic Actions and Epistemic Activities in Mathematical Practice -- Matrices – Compensating the Loss of Anschauung -- Interview with Anja Sattelmacher: Between Viewing and Touching – Models and Their Materiality -- Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the 19th and 20th Centuries -- Interview with Andreas Daniel Matt: Real-Time Mathematics.
Open Access
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.
ISBN: 9783030978334
Standard No.: 10.1007/978-3-030-97833-4doiSubjects--Topical Terms:
671541
History of Science.
LC Class. No.: QA21-27
Dewey Class. No.: 510.9
Model and Mathematics: From the 19th to the 21st Century
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How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes between 1830 and 1950. Introduction -- Knowing by Drawing: Geometric Material Models in 19th Century France -- Wilhelm Fiedler and his Models—the Polytechnic Side -- Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry -- Modeling Parallel Transport -- The great yogurt project: models and symmetry principles in early particle physics -- Interview with Myfanwy Evans: Entanglements on and Models of Periodic Minimal Surfaces -- The dialectics archetypes / types (universal categorical constructions / concrete models) in the work of Alexander Grothendieck -- ‘Analogies,’ ‘Interpretations,’ ‘Images,’ ‘Systems’ and ‘Models’: Some Remarks on the History of Abstract Representation in the Sciences since the Nineteenth Century -- Mappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking circa 1900 -- Thinking with Notations: Epistemic Actions and Epistemic Activities in Mathematical Practice -- Matrices – Compensating the Loss of Anschauung -- Interview with Anja Sattelmacher: Between Viewing and Touching – Models and Their Materiality -- Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the 19th and 20th Centuries -- Interview with Andreas Daniel Matt: Real-Time Mathematics.
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