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Today a colleague of mine asked me if I knew of any "more modern version" of J. Dieudonné's Panorama des mathématiques pures. Le choix bourbachique.

The very first thing that instantly came to my mind was The Princeton Companion to Mathematics; however, upon careful consideration, as I see it, the spirit of these two works is different (for the context and a summary of Dieudonné's work, you may refer to this review by P. Halmos, for example).

Being myself interested in possible answers to the question, I'll pose it here:

Does there exist an 'updated' book in a similar spirit as Dieudonné's Panorama des mathématiques pures?

I've just found out that a similar question was asked on Mathematics Stack Exchange, and the only answer proposed was indeed The Princeton Companion to Mathematics: An updated alternative to “A Panorama of Pure Mathematics”.

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    $\begingroup$ I just read the review by Halmos you linked at. Very nice. $\endgroup$
    – Joël
    Oct 13, 2015 at 20:26
  • $\begingroup$ @Joël, I'm glad you liked it. $\endgroup$
    – user81051
    Oct 13, 2015 at 20:27

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you might consider Oddifreddi's The Mathematical Century: The 30 Greatest Problems of the Last 100 Years

The twentieth century was a time of unprecedented development in mathematics: more theorems were proved and results found in a hundred years than in all of previous history. Here this development is told through thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. The book opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century.

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    $\begingroup$ I don't quite like the idea of "freedom from technical details", but I'll have a look at the book. Thanks for your answer. $\endgroup$
    – user81051
    Oct 13, 2015 at 20:28
  • $\begingroup$ Not what you asked for, but books in a similar category to Oddifreddi's: "Mathematics Unlimited — 2001" and "Beyond & Mathematics: Frontiers and Perspectives" $\endgroup$
    – Ponce
    Jul 26, 2023 at 22:54

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