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

Author:   Jean-Marc Ginoux
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   49
ISBN:  

9783319552385


Pages:   381
Publication Date:   26 April 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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History of Nonlinear Oscillations Theory in France (1880-1940)


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Author:   Jean-Marc Ginoux
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   49
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   7.509kg
ISBN:  

9783319552385


ISBN 10:   3319552384
Pages:   381
Publication Date:   26 April 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

“The text contains many interesting details describing experiments and mysterious devices used by researchers. The explanations are generously accompanied with diagrams and illustrations, the text contains numerous quotations and publication extracts. It is a good reading for anyone interested in mathematics and science, their history and philosophical underpinnings.” (Yuriy V. Rogovchenko, zbMATH 1485.34004, 2022)


The text contains many interesting details describing experiments and mysterious devices used by researchers. The explanations are generously accompanied with diagrams and illustrations, the text contains numerous quotations and publication extracts. It is a good reading for anyone interested in mathematics and science, their history and philosophical underpinnings. (Yuriy V. Rogovchenko, zbMATH 1485.34004, 2022)


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