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

Michael Friedman, Karin Krauthausen (Herausgeber)

Buch | Softcover

VI, 445 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-97835-8 (ISBN)

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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.

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.

Erscheinungsdatum	10.08.2022
Reihe/Serie	Trends in the History of Science
Zusatzinfo	VI, 445 p. 128 illus., 81 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	688 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Naturwissenschaften
Schlagworte	history of mathematics: 19th to the 21st century • mathematical model • Mathematization of Nature • model Theory • open access
ISBN-10	3-030-97835-4 / 3030978354
ISBN-13	978-3-030-97835-8 / 9783030978358
Zustand	Neuware