Between Mechanics and Architecture The Mathematical Search for Stability in Architecture /

Between Mechanics and Architecture The Mathematical Search for Stability in Architecture /

Библиографические подробности
Главный автор: Radelet-de Grave, Patricia (Автор)
Автор-организация: SpringerLink (Online service)
Примечания:XXIV, 568 p. 375 illus., 187 illus. in color.
text
Язык:английский
Опубликовано: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Издание:1st ed. 2024.
Серии:Mathematics and the Built Environment, 8
Предметы:
Science > History.
Technology.
History.
Mathematics.
Arts.
Architecture > Mathematics.
History of Science.
History of Technology.
History of Mathematical Sciences.
Mathematics in Art and Architecture.
Online-ссылка:https://doi.org/10.1007/978-3-031-73530-1
Формат: Электронный ресурс eКнига
Оглавление:
  • 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”.

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