Love and Math - Edward Frenkel A very powerful book, both for its insights into incredible symmetries across all fields of mathematics (touching on QM and fields), and for the appeal to a positive and engaging attitude towards an incredibly rich fabric of math everywhere in the world ======================================== Godel Escher Bach - Douglas Hoffstadter Using isomorphisms between genetics, programming, and math to understand why it doesn't make sense to fully formalize a system, and that logic itself always breaks when you attempt to be rigid, by the very nature of its logical contsruction. Also a VERY readable book, complete with anecdotal fantasy stories about animals.
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