04511nam a22005895i 4500 978-3-031-73530-1 DE-He213 20251030114935.0 cr nn 008mamaa 250131s2024 sz | s |||| 0|eng d 9783031735301 978-3-031-73530-1 10.1007/978-3-031-73530-1 doi Q124.6-127.2 PDX bicssc SCI034000 bisacsh PDX thema Radelet-de Grave, Patricia. author. aut http://id.loc.gov/vocabulary/relators/aut 73716 Between Mechanics and Architecture [electronic resource] : The Mathematical Search for Stability in Architecture / by Patricia Radelet-de Grave. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XXIV, 568 p. 375 illus., 187 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematics and the Built Environment, 2512-1561 ; 8 Preface. 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”. This 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. Science History. 65232 Technology. 58482 History. Mathematics. 65523 Arts. 65405 Architecture Mathematics. 71644 History of Science. 66101 History of Technology. 66100 History of Mathematical Sciences. 66197 Mathematics in Art and Architecture. 71645 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031735295 Printed edition: 9783031735318 Printed edition: 9783031735325 Mathematics and the Built Environment, 2512-1561 ; 8 90585 https://doi.org/10.1007/978-3-031-73530-1 ZDB-2-HTY ZDB-2-SXH 66585 66585