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Model and Mathematics: From the 19th to the 21st Century Michael Friedman

Model and Mathematics: From the 19th to the 21st Century By Michael Friedman

Model and Mathematics: From the 19th to the 21st Century by Michael Friedman

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Summary

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.

Model and Mathematics: From the 19th to the 21st Century Summary

Model and Mathematics: From the 19th to the 21st Century by Michael Friedman

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.

Table of Contents

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.


Additional information

NPB9783030978358
9783030978358
3030978354
Model and Mathematics: From the 19th to the 21st Century by Michael Friedman
Michael Friedman
Trends in the History of Science
New
Paperback
Springer Nature Switzerland AG
2022-08-09
445
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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