History of Nonlinear Oscillations Theory in France (1880-1940)
Scholars in the fields of the history of mathematics and the history of science, and anyone with an interest in the philosophical underpinnings of science will find this a particularly engaging account of scientific discovery and scholarly communication from an era full of exciting developments
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2017, 2017
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| Edition: | 1st ed. 2017 |
| Series: | Archimedes, New Studies in the History and Philosophy of Science and Technology
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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