Authors:
- Offers the very first history of nonlinear oscillations
- Supports understanding of the approach to many mathematical problems of engineering
- Provides a thorough and clear documentation of this vital piece of the history of mathematical science
- Presents a vast iconography, an index and many useful references
Part of the book series: Archimedes (ARIM, volume 49)
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Table of contents (14 chapters)
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Front Matter
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From Sustained Oscillations to Relaxation Oscillations
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Front Matter
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Back Matter
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Part II
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Front Matter
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Back Matter
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Part III
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Front Matter
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About this book
Readers will see that, contrary to what is often written, France's role has been significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time.
This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography of this mathematical theory must be modified. Credit was hitherto attributed to the Russian mathematician Andronov, from correspondence dating to 1929. In the newly discovered Poincaré text there appears to be a strong interaction between science and technology or, more precisely, between mathematical analysis and radio engineering. This feature is one of the main components of the process of developing the theory of nonlinear oscillations. Indeed it is a feature of many of the texts referred to in these chapters, as they trace the significant developments to which France contributed.
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.
Reviews
Authors and Affiliations
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Archives Henri Poincaré, CNRS, UMR 7117, Université de Nancy, Nancy, France
Jean-Marc Ginoux
Bibliographic Information
Book Title: History of Nonlinear Oscillations Theory in France (1880-1940)
Authors: Jean-Marc Ginoux
Series Title: Archimedes
DOI: https://doi.org/10.1007/978-3-319-55239-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-55238-5Published: 26 April 2017
Softcover ISBN: 978-3-319-85604-9Published: 09 May 2018
eBook ISBN: 978-3-319-55239-2Published: 18 April 2017
Series ISSN: 1385-0180
Series E-ISSN: 2215-0064
Edition Number: 1
Number of Pages: XXXVII, 381
Number of Illustrations: 73 b/w illustrations, 44 illustrations in colour
Topics: Engineering Design, Philosophical and Historical Foundations of Science, History of Mathematical Sciences