History of Nonlinear Oscillations Theory in France (1880-1940)

This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is o...

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Bibliographic Details
Main Author: Ginoux, Jean-Marc (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2017.
Imprint: Springer,
Edition:1st ed. 2017.
Series:Archimedes, New Studies in the History and Philosophy of Science and Technology, 49
Subjects:
Engineering design.
Science > Philosophy.
Mathematics.
History.
Engineering Design.
Philosophy of Science.
History of Mathematical Sciences.
Online Access:Full-text access
Table of Contents:
  • Part I. From sustained oscillations to relaxation oscillations
  • Chapter 1. From the series-dynamo machine to the singing arc
  • Chapter 2. The Great War and the first triode designs
  • Chapter 3. Van der Pol's prototype equation
  • Part II. From relaxation oscillations to self-oscillations
  • Chapter 4. Van der Pol's lectures
  • Chapter 5. Andronov's notes
  • Chapter 6. Response to Van der Pol's and Andronov's work in France
  • Chapter 7. The first International Conference on Nonlinear processes: Paris 1933
  • Chapter 8. The paradigm of relaxation oscillations in France
  • Part III. From self-oscillations to quasi-periodic oscillations
  • Chapter 9. The Poincaré-Lindstedt method
  • Chapter 10. Van der Pol's method
  • Chapter 11. The Krylov-Bogolyubov method
  • Chapter 12. The Mandelstam-Papeleksi School
  • Chapter 13. From quasi-periodic functions to recurrent motions
  • Chapter 14. Hadamard and his seminary.

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