1.

Record Nr.

UNINA9910586589703321

Autore

Friedman Michael

Titolo

Model and mathematics : from the 19th to the 21st century / / editors, Michael Friedman, Karin Krauthausen

Pubbl/distr/stampa

Cham, : Springer Nature, 2022

Cham : , : Springer International Publishing AG, , 2022

©2022

ISBN

3-030-97833-8

Descrizione fisica

1 online resource (vi, 445 pages) : illustrations (some color)

Collana

Trends in the history of science

Altri autori (Persone)

KrauthausenKarin

Soggetti

Mathematical models - History

Models matemàtics

Història

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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 1900Thinking 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

Sommario/riassunto

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.