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

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  • Open Access
  • © 2022

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Overview

Editors:
  1. Michael Friedman

    1. The Cohn Institute for the History and Philosophy of Science and Ideas Humanities Faculty, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel

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  2. Karin Krauthausen

    1. Cluster of Excellence “Matters of Activity. Image Space Material”, Humboldt-Universität zu Berlin, Berlin, Germany

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  • Open Access volume
  • Gives historical and medial perspectives about mathematics and modeling
  • Contains interviews with experts
  • Charts progression of mathematical modeling from 19th century to today

Part of the book series: Trends in the History of Science (TRENDSHISTORYSCIENCE)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-vi
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  2. How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes Between 1850 and 1950. Introduction

    • Michael Friedman, Karin Krauthausen
    Pages 1-49Open Access
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  3. Historical Perspectives and Case Studies

    1. Front Matter

      Pages 51-51
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    2. Knowing by Drawing: Geometric Material Models in Nineteenth Century France

      • Frédéric Brechenmacher
      Pages 53-143Open Access
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    3. Wilhelm Fiedler and His Models—The Polytechnic Side

      • Klaus Volkert
      Pages 145-175Open Access
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    4. Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry

      • David E. Rowe
      Pages 177-202Open Access
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    5. Modeling Parallel Transport

      • Tilman Sauer
      Pages 203-220Open Access
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    6. The Great Yogurt Project: Models and Symmetry Principles in Early Particle Physics

      • Arianna Borrelli
      Pages 221-254Open Access
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    7. Interview with Myfanwy E. Evans: Entanglements On and Models of Periodic Minimal Surfaces

      • Myfanwy E. Evans, Michael Friedman, Karin Krauthausen
      Pages 255-266Open Access
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    8. The Dialectics Archetypes/Types (Universal Categorical Constructions/Concrete Models) in the Work of Alexander Grothendieck

      • Fernando Zalamea
      Pages 267-275Open Access
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  5. From Production Processes to Exhibition Practices

    1. Front Matter

      Pages 379-379
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    2. Interview with Anja Sattelmacher: Between Viewing and Touching—Models and Their Materiality

      • Michael Friedman, Karin Krauthausen, Anja Sattelmacher
      Pages 381-401Open Access
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    3. Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the Nineteenth and Twentieth Centuries

      • Michael Friedman, Ulf Hashagen, Karin Krauthausen
      Pages 403-430Open Access
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    4. Interview with Andreas Daniel Matt: Real-Time Mathematics

      • Michael Friedman, Karin Krauthausen, Andreas Daniel Matt
      Pages 431-445Open Access
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Keywords

About this book

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.

Editors and Affiliations

  • The Cohn Institute for the History and Philosophy of Science and Ideas Humanities Faculty, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel

    Michael Friedman

  • Cluster of Excellence “Matters of Activity. Image Space Material”, Humboldt-Universität zu Berlin, Berlin, Germany

    Karin Krauthausen

Bibliographic Information

  • Book Title: Model and Mathematics: From the 19th to the 21st Century

  • Editors: Michael Friedman, Karin Krauthausen

  • Series Title: Trends in the History of Science

  • DOI: https://doi.org/10.1007/978-3-030-97833-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2022

  • Hardcover ISBN: 978-3-030-97832-7Published: 09 August 2022

  • Softcover ISBN: 978-3-030-97835-8Published: 09 August 2022

  • eBook ISBN: 978-3-030-97833-4Published: 08 August 2022

  • Series ISSN: 2297-2951

  • Series E-ISSN: 2297-296X

  • Edition Number: 1

  • Number of Pages: VI, 445

  • Number of Illustrations: 47 b/w illustrations, 81 illustrations in colour

  • Topics: History of Mathematical Sciences, History of Science

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