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Boltzmann worked on statistical mechanics using probability to describe how the properties of atoms determine the properties of matter. In particular his work relates to the Second Law of Thermodynamics.
Boltzmann also obtained the Maxwell-Boltzmann distribution, namely the average energy of motion of an atom is the same for each direction. He was one of the first to recognise the importance of Maxwell's electromagnetic theory.
His work was opposed by many European scientists, they misunderstood his ideas, not fully grasping the statistical nature of his reasoning, and Boltzmann, depressed and in bad health, committed suicide just before experiment verified his work.
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Tell me about Boltzmann's work on quantum theory and his part in the history of mathematics
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