Between Mechanics and Architecture The Mathematical Search for Stability in Architecture /
| Autor principal: | |
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| Autor Corporativo: | |
| Resumo: | XXIV, 568 p. 375 illus., 187 illus. in color. text |
| Idioma: | inglês |
| Publicado em: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Edição: | 1st ed. 2024. |
| coleção: | Mathematics and the Built Environment,
8 |
| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1007/978-3-031-73530-1 |
| Formato: | Recurso Eletrônico Livro |
Sumário:
- 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”.