Electrodynamics from Ampère to Einstein

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Format: Hardcover
Pub. Date: 2000-08-10
Publisher(s): Oxford University Press
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Summary

Three quarters of a century elapsed between Ampère's definition of electrodynamics and Einstein's reform of the concepts of space and time. The two events occurred in utterly different worlds: the French Academy of Sciences of the 1820s seems very remote from the Bern patent office of the early 1900s, and the forces between two electric currents quite foreign to the optical synchronization of clocks. Yet Ampère's electrodynamics and Einstein's relativity are firmly connected through an historical chain involving German extensions of Ampère's work, competition with British field conceptions, Dutch synthesis, and fin de siècle criticism of the aether-matter connection. Darrigol's book retraces this intriguing evolution, with a physicist's attention to conceptual and instrumental developments, and with an historian's awareness of their cultural and material embeddings. This book exploits a wide range of sources, and incorporates the many important insights of other scholars. Thorough accounts are given of crucial episodes such as Faraday's redefinition of charge and current, the genesis of Maxwell's field equations, or Hertz' experiments on fast electric oscillations. Thus emerges a vivid picture of the intellectual and instrumental variety of nineteenth century physics. The most influential investigators worked at the crossroads between different disciplines and traditions: they did not separate theory from experiment, they frequently drew on competing traditions, and their scientific interests extended beyond physics into chemistry, mathematics, physiology, and other areas. By bringing out these important features, this book offers a tightly connected and yet sharply contrasted view of early electrodynamics.

Author Biography

Olivier Darrigol is a Research Director at the Centre National de la Recherche Scientifique, Paris.

Table of Contents

Conventions and notations xvii
Foundations
1(41)
Introduction
1(5)
Ampere's attractions
6(10)
Faraday's rotations
16(7)
Electro-dynamique
23(8)
Electromagnetic induction
31(8)
Conclusions
39(3)
German precision
42(35)
Introduction
42(1)
Neumann's mathematical phenomenology
43(6)
The Gaussian spirit
49(5)
Weber's Maassbestimmungen
54(12)
Kirchhoff compared with Weber
66(8)
Conclusions
74(3)
British fields
77(60)
Introduction
77(1)
Faraday's electrochemistry
78(7)
Dielectrics
85(11)
The magnetic lines of force
96(17)
Thomson's potential
113(13)
Thomson's magnetic field
126(8)
Conclusions
134(3)
Maxwell
137(40)
Introduction
137(2)
On Faraday's lines of force
139(8)
On physical lines of force
147(7)
The dynamical field
154(12)
Exegi monumentum
166(6)
Conclusions
172(5)
British Maxwellians
177(32)
Introduction
177(1)
Thomson's antipathy
177(3)
Picturing Maxwell
180(9)
Modifying Maxwell's equations
189(5)
A telegrapher's Maxwell
194(8)
Electromagnetic waves
202(3)
Conclusions
205(4)
Open currents
209(56)
Introduction
209(1)
Continental foundations
210(4)
Helmholtz's physics of principles
214(20)
Hertz's response
234(18)
The impact of Hertz's discovery
252(10)
Conclusions
262(3)
Conduction in electrolytes and gases
265(49)
Introduction
265(1)
Electrolysis
266(8)
Discharge in rarefied gases
274(14)
Gaseous ions
288(12)
The cathode ray controversy
300(10)
Conclusions
310(4)
The electron theories
314(37)
Introduction
314(1)
Some optics of moving bodies
314(5)
Helmholtz's ionic optics
319(3)
Lorentz's synthesis
322(10)
Larmor's reform
332(11)
Wiechert's world-ether
343(4)
Conclusions
347(4)
Old principles and a new world-view
351(44)
Introduction
351(1)
Poincare's criticism
351(9)
The descent into the electron
360(6)
Alternative theories
366(6)
Einstein on electrodynamics
372(20)
Conclusions
392(3)
Appendices 395(48)
1 Ampere's forces
395(4)
2 Absolute units
399(1)
3 Neumann's potential
400(2)
4 Weber's formula and consequences
402(4)
5 Convective derivatives
406(4)
6 Maxwell's stress system
410(2)
7 Helmholtz's electrodynamics
412(8)
8 Hertz's 1884 derivation of the Maxwell equations
420(2)
9 Electrodynamic Lagrangians
422(7)
10 Electric convection
429(5)
11 Fresnel's coefficient
434(3)
12 Cohn's electrodynamics
437(6)
Abbreviations used in bibliographies 443(2)
Bibliography of primary literature 445(40)
Bibliography of secondary literature 485(30)
Index 515

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