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020 _a9783031735301
_9978-3-031-73530-1
024 7 _a10.1007/978-3-031-73530-1
_2doi
050 4 _aQ124.6-127.2
072 7 _aPDX
_2bicssc
072 7 _aSCI034000
_2bisacsh
072 7 _aPDX
_2thema
100 1 _aRadelet-de Grave, Patricia.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973716
245 1 0 _aBetween Mechanics and Architecture
_h[electronic resource] :
_bThe Mathematical Search for Stability in Architecture /
_cby Patricia Radelet-de Grave.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXXIV, 568 p. 375 illus., 187 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 _aMathematics and the Built Environment,
_x2512-1561 ;
_v8
505 0 _aPreface. What Do We Mean by Between Mechanics and Architecture? -- Chapter 1. Relations between Mechanics and Architecture through the History of the Parallelogram Law of Forces from Antiquity to 1800 -- Chapter 2. Mathematics, Architecture and Mechanics in the School of François d’Aguilon and Grégoire de Saint-Vincent -- Chapter 3. Is the Flat Vault a Lost Proposition in John Wallis’s Work? -- Chapter 4. The Use of a Particular Form of the Parallelogram Law of Forces for the Building of Vaults (1650-1750) -- Chapter 5. The De curvatura fornicis of Jacob Bernoulli: The Introduction of the Infinitely Small into the Calculation of Arches -- Chapter 6. The Catenary, or How Differential Calculus Appeared on the Public Square -- Chapter 7. The Bernoullis and the Elastica: From Leibniz’s Nova methodus to Euler’s Methodus inveniendi -- Chapter 8. The Theory of Vaults of Pierre Bouguer -- Chapter 9. The Entasis of Columns from Blondel to Lagrange: Mathematical Games in Search of the Greatest Stability -- Chapter 10. A Study of Coulomb’s Application of the Rules of Maxima and Minima to Problems of Statics -- Chapter 11. Jacques-Germain Soufflot and the Relationship between Rules and Taste -- Chapter 12. The Catenary as Inspiration -- Chapter 13. The Study of the Stability of Vaults by the Viscount of Nieuport -- Chapter 14. On Mascheroni’s “New Researches on the Equilibrium of Vaults” -- Chapter 15. The Supports Problem: A Dead-End Street in the History of Stability of Structures -- Chapter 16. The Discovery of General Methods for Elastic Systems, 1852-1875 -- Chapter 17. The Industrial Revolution and its Consequences. Part I: Iron Frameworks and Cullmann’s “Graphostatics”.
520 _aThis collection of essays reflects the author's decades-long dedication to studying the interplay between mechanics and architecture. It explores how advancements in mechanics have influenced architectural innovation and how the need for new architectural solutions has driven theoretical progress in engineering. By examining the historical roots of these fields, these essays provide a deep analysis of key developments. This interdisciplinary work will appeal to scholars, students, and anyone interested in the complex relationship between the theoretical and practical aspects of architecture and civil engineering.
650 0 _aScience
_xHistory.
_965232
650 0 _aTechnology.
_958482
650 0 _aHistory.
650 0 _aMathematics.
_965523
650 0 _aArts.
_965405
650 0 _aArchitecture
_xMathematics.
_971644
650 1 4 _aHistory of Science.
_966101
650 2 4 _aHistory of Technology.
_966100
650 2 4 _aHistory of Mathematical Sciences.
_966197
650 2 4 _aMathematics in Art and Architecture.
_971645
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031735295
776 0 8 _iPrinted edition:
_z9783031735318
776 0 8 _iPrinted edition:
_z9783031735325
830 0 _aMathematics and the Built Environment,
_x2512-1561 ;
_v8
_990585
856 4 0 _uhttps://doi.org/10.1007/978-3-031-73530-1
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