國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

History of nonlinear oscillations th...

Ginoux, Jean-Marc.

History of nonlinear oscillations theory in France (1880-1940)

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	History of nonlinear oscillations theory in France (1880-1940)by Jean-Marc Ginoux.
作者:	Ginoux, Jean-Marc.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xxxvii, 381 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Nonlinear oscillationsHistory.
電子資源:	http://dx.doi.org/10.1007/978-3-319-55239-2
ISBN:	9783319552392$q(electronic bk.)

History of nonlinear oscillations theory in France (1880-1940)
Ginoux, Jean-Marc.

History of nonlinear oscillations theory in France (1880-1940)[electronic resource] /by Jean-Marc Ginoux. - Cham :Springer International Publishing :2017. - xxxvii, 381 p. :ill. (some col.), digital ;24 cm. - Archimedes,v.491385-0180 ;. - Archimedes ;v.35..

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 Poincare-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.

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.

ISBN: 9783319552392$q(electronic bk.)

Standard No.: 10.1007/978-3-319-55239-2doiSubjects--Topical Terms:

779723
Nonlinear oscillations
--History.

LC Class. No.: QA867.5

Dewey Class. No.: 531.32

History of nonlinear oscillations theory in France (1880-1940)
LDR:04035nmm a2200337 a 4500 001 512074
003 DE-He213
005 20171106134957.0
006 m d
007 cr nn 008maaau
008 171226s2017 gw s 0 eng d
020 $a 9783319552392$q(electronic bk.)
020 $a 9783319552385$q(paper)
024 7 $a 10.1007/978-3-319-55239-2 $2 doi
035 $a 978-3-319-55239-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA867.5
072 7 $a TBD $2 bicssc
072 7 $a TEC016020 $2 bisacsh
072 7 $a TEC016000 $2 bisacsh
082 0 4 $a 531.32 $2 23
090 $a QA867.5 $b .G493 2017
100 1 $a Ginoux, Jean-Marc. $3 576032
245 1 0 $a History of nonlinear oscillations theory in France (1880-1940) $h [electronic resource] / $c by Jean-Marc Ginoux.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xxxvii, 381 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Archimedes, $x 1385-0180 ; $v v.49
505 0 $a 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 Poincare-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.
520 $a 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.
650 0 $a Nonlinear oscillations $x History. $3 779723
650 1 4 $a Engineering. $3 210888
650 2 4 $a Engineering Design. $3 273752
650 2 4 $a Philosophical and Historical Foundations of Science. $3 779724
650 2 4 $a History of Mathematical Sciences. $3 511733
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Archimedes ; $v v.35. $3 675460
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-55239-2
950 $a Engineering (Springer-11647)