Maxwell and the normal distribution: A colored story of probability, independence, and tendency toward equilibrium

@article{Gyenis2017MaxwellAT,
  title={Maxwell and the normal distribution: A colored story of probability, independence, and tendency toward equilibrium},
  author={Bal{\'a}zs Gyenis},
  journal={Studies in History and Philosophy of Modern Physics},
  year={2017},
  volume={57},
  pages={53-65}
}
  • Balázs Gyenis
  • Published 1 February 2017
  • Economics
  • Studies in History and Philosophy of Modern Physics
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References

SHOWING 1-10 OF 42 REFERENCES
Compendium of the Foundations of Classical Statistical Physics
The Dynamical Theory of Gases
MORE than eleven years have elapsed since the first edition of this work was-reviewed in NATURE (April 27, 1905). Most of the pioneers of the attempted rigorous mathematical theory hav passed away,…
“Will someone say exactly what the H-theorem proves?” A study of Burbury's Condition A and Maxwell's Proposition II
SummaryMany historians of science recognize that the outcome of the celebrated debate on Boltzmann's H-Theorem, which took place in the weekly scientific journal Nature, beginning at the end of 1894…
James Clerk Maxwell and the Kinetic Theory of Gases: A Review Based on Recent Historical Studies
Maxwell's four major papers and some shorter publications relating to kinetic theory and statistical mechanics are discussed in the light of subsequent research in those subjects. Further information…
On the Mean Lengths of the Paths Described by the Separate Molecules of Gaseous Bodies
The Nature of the Motion which we call Heat
Boltzmann's Minimum Function
I SAID in my first letter on this subject that the condition A, on which, or its equivalent the proof is based, could not apply to the reversed motion. As that assertion has been questioned, may I…
Illustrations of the Dynamical Theory of Gases
In view of the current interest in the theory of gases proposed by Bernoulli (Selection 3), Joule, Kronig, Clausius (Selections 8 and 9) and others, a mathematical investigation of the laws of motion…
Archive for History of Exact Sciences
  • Education
    Nature
  • 1960
The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of mathematical and quantitative thought and the precise theory…
Early kinetic theories of gases
That matter is composed of molecules in violent agitation, and that heat is a manifestation of that motion, are ideas of great age. The first definite measure of the heat of intestine motion was…
...
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3
4
5
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