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Dieudonne's A Panorama of Pure Mathematics serves as a nice, brisk overview of the state of pure mathematics at its time, but it would be nice if there were an updated version of this book.

Is there a more recent book with a similar style and scope to Dieudonne's book?

Thanks, in advance.

BTW: I tagged this as "math history", but would prefer it to be tagged as "math overview"...

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'Modern Mathematics in the Light of the Fields Medals'? – Marius Kempe Jan 4 '14 at 21:24

Try The Princeton Companion to Mathematics.

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I thought someone might volunteer this one. Is this significantly more lengthy...with an "encyclopedia" feel? Would this be readable as a whole? (Of course, I'll have another look!) – Jon Bannon Nov 1 '12 at 0:35
@Jon: I've read the whole thing, but I'm the only person I know who has (besides Gowers, I suppose). It is indeed structured like an encyclopedia, but since the entries are written by different authors I think you get the benefit of a wide variety of perspectives. – Qiaochu Yuan Nov 1 '12 at 1:14
I thought so. Something I left hidden in my question is that I want the book to serve as a text for a course designed to "round out" a student's global perspective of mathematics. I'd therefore like it to be readable in its an undergraduate of reasonable caliber. – Jon Bannon Nov 1 '12 at 1:34
@Jon: caliber has very little to do with it. I wasn't taking classes last semester, so I had a lot of time on my hands... – Qiaochu Yuan Nov 1 '12 at 2:13
What's the intended audience? Does a typical reader need a bit of a feel for most of the content before taking on the expositions in here? – AsinglePANCAKE Nov 2 '12 at 4:53

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