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

Model and Mathematics: From the 19th to the 21st Century: Trends in the History of Science

Editat de Michael Friedman, Karin Krauthausen
en Limba Engleză Paperback – 9 aug 2022
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.
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Specificații

ISBN-13: 9783030978358
ISBN-10: 3030978354
Pagini: 445
Ilustrații: VI, 445 p. 128 illus., 81 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.69 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Trends in the History of Science

Locul publicării:Cham, Switzerland

Cuprins

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.


Textul de pe ultima copertă

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.

Caracteristici

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