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Books > Science & Mathematics > Science: general issues > Philosophy of science
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History of Nonlinear Oscillations Theory in France (1880-1940) (Paperback, Softcover reprint of the original 1st ed. 2017)
Loot Price: R6,101
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History of Nonlinear Oscillations Theory in France (1880-1940) (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Archimedes, 49
Expected to ship within 10 - 15 working days
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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 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
Poincare, dating from 1908. In this work Poincare 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 Poincare 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.
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