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001 978-3-030-97833-4
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020 _a9783030978334
_9978-3-030-97833-4
024 7 _a10.1007/978-3-030-97833-4
_2doi
050 4 _aQA21-27
072 7 _aPBX
_2bicssc
072 7 _aMAT015000
_2bisacsh
072 7 _aPBX
_2thema
082 0 4 _a510.9
_223
245 1 0 _aModel and Mathematics: From the 19th to the 21st Century
_h[electronic resource] /
_cedited by Michael Friedman, Karin Krauthausen.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2022.
300 _aVI, 445 p. 128 illus., 81 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in the History of Science,
_x2297-296X
505 0 _aHow 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 0 _aOpen Access
520 _aThis 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 _aMathematics.
650 0 _aHistory.
650 0 _aScience
_xHistory.
650 1 4 _aHistory of Mathematical Sciences.
650 2 4 _aHistory of Science.
700 1 _aFriedman, Michael.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aKrauthausen, Karin.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030978327
776 0 8 _iPrinted edition:
_z9783030978341
776 0 8 _iPrinted edition:
_z9783030978358
830 0 _aTrends in the History of Science,
_x2297-296X
856 4 0 _uhttps://doi.org/10.1007/978-3-030-97833-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c37763
_d37763