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I would like to know if there are compendiums much like the Princeton Companion to Mathematics for physics (especially classical physics: fluid mechanics, elasticity theory, Hamiltonian formalism of classical mechanics, statistical mechanics etc etc).

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  • $\begingroup$ Landau & Lifshitz? $\endgroup$ Feb 14, 2015 at 16:21

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Frank Wilczek will edit The Princeton Companion to Physics, but unfortunately the anticipated publication date is in 2018. [Edit: the new anticipated date is 2020, see https://www.frankawilczek.com/single-post/2018/01/18/Princeton-Companion-to-Physics ]

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In this question the Companion was suggested as a math equivalent of the Feynman Lectures on Physics. If this is an equivalence relation it should be symmetric.

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  • $\begingroup$ Feynman lectures on Physics is outdated and not really useful. Better books that cover more like Shankars. $\endgroup$
    – simplicity
    Oct 19, 2011 at 0:38
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    $\begingroup$ It's absurd to say that the Feynman Lectures aren't useful - some facts in them are outdated, but you don't read Feynman for the facts. $\endgroup$ Oct 19, 2011 at 2:10
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This isn't especially similar to The Princeton Companion, but I think that Thorne and Blandford's Applications of Classical Physics covers those topics you mentioned well, except for the formalism of classical mechanics.

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