國立高雄大學圖資館 |

Model and mathematicsfrom the 19th to the 21st century /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Model and mathematicsedited by Michael Friedman, Karin Krauthausen.
Reminder of title:	from the 19th to the 21st century /
other author:	Krauthausen, Karin.
Published:	Cham :Springer International Publishing :2022.
Description:	vi, 445 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical modelsHistory.
Online resource:	https://doi.org/10.1007/978-3-030-97833-4
ISBN:	9783030978334$q(electronic bk.)

Model and mathematicsfrom the 19th to the 21st century /
Model and mathematicsfrom the 19th to the 21st century /[electronic resource] :edited by Michael Friedman, Karin Krauthausen. - Cham :Springer International Publishing :2022. - vi, 445 p. :ill. (some col.), digital ;24 cm. - Trends in the history of science,2297-296X. - Trends in the history of science..

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.

Open access.

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.

ISBN: 9783030978334$q(electronic bk.)

Standard No.: 10.1007/978-3-030-97833-4doiSubjects--Topical Terms:

933929
Mathematical models
--History.

LC Class. No.: QA401 / .M63 2022

Dewey Class. No.: 511.8

Model and mathematicsfrom the 19th to the 21st century /
LDR:02988nmm a2200337 a 4500 001 629251
003 DE-He213
005 20220808101303.0
007 cr nn 008maaau
008 230224s2022 sz s 0 eng d
020 $a 9783030978334$q(electronic bk.)
020 $a 9783030978327$q(paper)
024 7 $a 10.1007/978-3-030-97833-4 $2 doi
035 $a 978-3-030-97833-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA401 $b .M63 2022
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 511.8 $2 23
090 $a QA401 $b .M689 2022
245 0 0 $a Model and mathematics $h [electronic resource] : $b from the 19th to the 21st century / $c edited by Michael Friedman, Karin Krauthausen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2022.
300 $a vi, 445 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Trends in the history of science, $x 2297-296X
505 0 $a 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.
506 $a Open access.
520 $a 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.
650 0 $a Mathematical models $x History. $3 933929
650 1 4 $a History of Mathematical Sciences. $3 511733
650 2 4 $a History of Science. $3 212526
700 1 $a Krauthausen, Karin. $3 933928
700 1 $a Friedman, Michael. $3 816313
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Trends in the history of science. $3 713761
856 4 0 $u https://doi.org/10.1007/978-3-030-97833-4
950 $a Mathematics and Statistics (SpringerNature-11649)