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Routh became the most famous of the Cambridge coaches and he published famous advanced treatises which became standard applied mathematics texts such as A Treatise on Dynamics of Rigid Bodies (1860), A Treatise on Analytic Statistics (1891) and A Treatise on Dynamics of a Particle (1898).
Although he was most famed as a teacher, his work on mechanics was important and in 1877 Routh was awarded the Adams Prize for work on dynamic stability. He was also elected a Fellow of the Royal Society on the strength of this work.
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