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Required fields*

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    $\begingroup$ Dieudonne has a few maths history books on algebraic geometry and algebraic geometry, which explain the context in which these fields developed. The Grothendieck-Serre correspondence contains an exchange of letters of who might be the most influential postwar mathematicians. Villani has his book "the birth of a theorem" or something like that. $\endgroup$ Commented Feb 11, 2019 at 18:48
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    $\begingroup$ This is not history of mathematics, and I don't know if the material can be considered "advanced" in any sense but looks fun: bookstore.ams.org/mbk-46 $\endgroup$ Commented Feb 11, 2019 at 18:59
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    $\begingroup$ I really liked Love & Math by Edward Frenkel. $\endgroup$ Commented Feb 11, 2019 at 19:01
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    $\begingroup$ Not a book, but the ICM surveys (impa.br/icm2018) are often great for getting a very basic idea of what's going on in various fields outside of one's own. $\endgroup$ Commented Feb 12, 2019 at 0:35
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    $\begingroup$ I haven't looked at it very closely, but perhaps the Princeton Companion to Mathematics? It's more encyclopedic in nature, but I believe it's intended to be fairly accessible. It might be something to dip in and out of. $\endgroup$ Commented Feb 13, 2019 at 0:59