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Author: Princeton University. Library
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 754

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Author: Arthur Augustus Tilley
Publisher: CUP Archive
ISBN:
Category : History
Languages : en
Pages : 902

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Author:
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 812

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Author: Jean-Marc Ginoux
Publisher: Springer
ISBN: 3319552392
Category : Technology & Engineering
Languages : en
Pages : 402

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Book Description
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 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.

Author: Alexander I. Petroianu
Publisher: CRC Press
ISBN: 135177977X
Category : Mathematics
Languages : en
Pages : 174

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Book Description
Energy and power are fundamental concepts in electromagnetism and circuit theory, as well as in optics, signal processing, power engineering, electrical machines, and power electronics. However, in crossing the disciplinary borders, we encounter understanding difficulties due to (1) the many possible mathematical representations of the same physical objects, and (2) the many possible physical interpretations of the same mathematical entities. The monograph proposes a quantum and a relativistic approach to electromagnetic power theory that is based on recent advances in physics and mathematics. The book takes a fresh look at old debates related to the significance of the Poynting theorem and the interpretation of reactive power. Reformulated in the mathematical language of geometric algebra, the new expression of electromagnetic power reflects the laws of conservation of energy-momentum in fields and circuits. The monograph offers a mathematically consistent and a physically coherent interpretation of the power concept and of the mechanism of power transmission at the subatomic (mesoscopic) level. The monograph proves (paraphrasing Heaviside) that there is no finality in the development of a vibrant discipline: power theory.

Author: British Museum. Department of Printed Books
Publisher:
ISBN:
Category : Subject catalogs
Languages : en
Pages : 1032

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Author: British Museum. Department of Printed Books
Publisher:
ISBN:
Category : Best books
Languages : en
Pages : 1032

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Author: American Institute of Electrical Engineers
Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 1176

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Author:
Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 1216

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Author:
Publisher:
ISBN:
Category : Electric engineering
Languages : en
Pages : 1294

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