Model and Mathematics : (Record no. 311191)
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| 000 -LEADER | |
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| fixed length control field | 08563nam a22004573i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC7070996 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240122001716.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 231124s2022 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783030978334 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9783030978327 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC7070996 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL7070996 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1344539020 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA21-27 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Friedman, Michael. |
| 245 10 - TITLE STATEMENT | |
| Title | Model and Mathematics : |
| Remainder of title | from the 19th to the 21st Century. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing AG, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2022. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2022. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (441 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Trends in the History of Science Series |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- 1 How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes Between 1850 and 1950. Introduction -- I. Models at the End of the Nineteenth Century: Between Maxwell's 'Fictitious Substances' and Boltzmann's 'Tangible Representation' -- II. 1850s/1870s: 'Analogy' and 'Model' in Maxwell -- III. 1880-1900: 'Anschauung' and 'Bild' (Klein and Brill) -- IV. 1900s-1930s: From Material Analogies and 'Geometric Models' to Formal Analogies and Language-Oriented Models -- (1) 1891/1899/1936: Mathematics and the New Definition of 'Model' -- (2) 1931/1925-6: The 'Pencil and Paper Models' of Biology and the Precursors of Modeling -- V. 1940s: L�evi-Strauss and Mathematical Models in Anthropology -- VI. Conclusion: The Model in the Twentieth Century: Fictitious, Fragmentary, Temporary -- Part I Historical Perspectives and Case Studies -- 2 Knowing by Drawing: Geometric Material Models in Nineteenth Century France -- Introduction -- Geometry and Model Drawing -- Drawing, Models, and Analysis -- Geometric Drawing in the Royal Engineering Schools -- The Foundation of �Ecole Polytechnique -- Mutual Instruction Versus Academic Pedantry -- Monge's "Cabinet Des Mod�eles" -- A Polytechnic Culture of Drawing -- The Canons of Geometric Drawing: Models and the Artillery School -- The Alliance Between Practice and Theory -- Learning by Drawing at the Conservatoire and Beyond -- Olivier's String Models -- Bardin's Plaster Models -- Model Drawing in Superior Primary Education -- The Models of Higher Geometry -- Naturalistic Mathematics -- The Darboux-Caron Wooden Models -- Models and the 1902 Educational Reform in France -- The Golden Age of Mathematical Models in View of the Decline of Model Drawing -- Open Questions: Models, Mathematical Modelization, and the Graphical Method -- Conclusions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3 Wilhelm Fiedler and His Models-The Polytechnic Side -- Wilhelm Fiedler -- Some Remarks on Teaching and Early Models -- Models in Fiedler's Correspondence -- Models in Fiedler's Teaching and Publishing -- Conclusions -- 4 Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry -- Introduction -- Optics Stimulating Mathematics Simulating Optics -- Constructing Fresnel's Wave Surface -- Constructing Infinitely Thin Pencils of Rays -- Kummer Surfaces -- Pl�ucker's Complex Surfaces -- On Deforming Quartics -- 5 Modeling Parallel Transport -- Introduction -- Historical Context: Localization of the Models in Space and Time -- The Notion of Parallel Transport -- The Context of the History of Mathematics -- The Levi-Civita Connection -- A Mechanical Model of Parallel Transport -- Later History -- Concluding Remarks -- 6 The Great Yogurt Project: Models and Symmetry Principles in Early Particle Physics -- Introduction: The Coral Gables Conferences on "Symmetry Principles at High Energy" and the Yogurt Project -- 'Models' and 'Theories' as Actors' Categories in Early Theoretical Particle Physics -- Mathematical Practices of Rotations and the Emergence of the Gell-Mann-Nishijima Model of Particle Classification -- The Search for a Theory of Isospin and Strangeness in the 1950s -- The Path from SU(2) to SU(3), or: Did Particle Physicist Know Group Theory? -- Beyond SU(3)-The Mathematical Marriage of Space-Time and Internal Symmetries -- The Rise and Fall of SU(6) -- Conclusion: The End of the Yogurt Project? -- 7 Interview with Myfanwy E. Evans: Entanglements On and Models of Periodic Minimal Surfaces -- 8 The Dialectics Archetypes/Types (Universal Categorical Constructions/Concrete Models) in the Work of Alexander Grothendieck -- Archetypes and Types in the T�ohoku and the Rapport. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Types and Archetypes in Pursuing Stacks and D�erivateurs -- Models in R�ecoltes et Semailles -- Conclusion -- Part II Epistemological and Conceptual Perspectives -- 9 'Analogies,' 'Interpretations,' 'Images,' 'Systems,' and 'Models': Some Remarks on the History of Abstract Representation in the Sciences Since the Nineteenth Century -- Dynamical Analogies, Physical/Mechanical Analogies, Mathematical Analogies -- Interpretations of Non-Euclidean Geometry -- Systems, Spielr�aume, Euklidische Modelle: Some Remarks by Felix Hausdorff, Ca. 1900 -- Images and Dynamical Models: Heinrich Hertz Once Again -- Epilogue: The Rise of (Modern) Mathematical Models -- 10 Mappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking Circa 1900 -- Generalities -- The Riemann Inflexion -- Reflections in Science and Mathematics … and New Flashes -- Helmholtz and Hertz -- Longue Dur�ee -- Other Reflections -- 11 Thinking with Notations: Epistemic Actions and Epistemic Activities in Mathematical Practice -- The Applicability 'Problem' -- Philosophies of Mathematical Practice -- Notations, Formalisms, Models -- Practices, Agents, Actions -- Epistemic Actions and Their Limits -- What 'Epistemic Actions' in Mathematics Might Be -- The Use of Gestures and Symbolic Operations in Instructional Settings -- Applying Material Models to Mathematics -- Re-proving Theorems -- Notations as 'Institutionalized' (Long-Term) Epistemic Actions? -- 12 Matrices-Compensating the Loss of Anschauung -- Introduction -- Immanuel Kant's Philosophy of Applied Mathematics -- The Loss of Anschauung in the Nineteenth Century and the Declaration of Anschaulichkeit as a Model in Geometry -- Matrices as New Tools for Compensating the Loss of Anschauung in Physics -- Early Twentieth Century Debate on Anschauung and Anschaulichkeit in Physics -- Surreality of the New Physics. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Conclusion -- Part III From Production Processes to Exhibition Practices -- 13 Interview with Anja Sattelmacher: Between Viewing and Touching-Models and Their Materiality -- 14 Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the Nineteenth and Twentieth Centuries -- 15 Interview with Andreas Daniel Matt: Real-Time Mathematics. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2023. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Krauthausen, Karin. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Friedman, Michael |
| Title | Model and Mathematics: from the 19th to the 21st Century |
| Place, publisher, and date of publication | Cham : Springer International Publishing AG,c2022 |
| International Standard Book Number | 9783030978327 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Trends in the History of Science Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=7070996">https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=7070996</a> |
| Public note | Click to View |
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