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Need book recommendations: math, philosophy, astrophysics

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DS asked for books for his birthday: readable non-fiction, not textbooks, about mathematical philosophy (he is currently reading Bertrand Russel's Mathematical Philosophy) and astrophysics (he was eyeing the Neil de Grass Tyson book Astrophysics for people in a hurry which is not yet out).


Help me out!

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I am not sure if this will fit the bill, but has he read Gödel, Escher, Bach?


Also, Stephen Hawking's books are very readable and excellent books if he hasn't already read them. 


Thanks! We had just thought of the Goedel, Escher, Bach, too and put it in the shopping cart. I think that will be perfect.

Edited by regentrude
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Flatland is a classic; Flatterland pretty good.  Gelfand's books are fantastic.  They aren't really mathematical philosophy, and not really textbooks - something inbetween.  There are also lots of classics to pick from, but they can cause some issues if not read for historical context - the ancient Greeks, Newton, Hilbert, Descartes, et al.  Good list of these on wiki: https://en.wikipedia.org/wiki/List_of_important_publications_in_mathematics.


Seam Carroll and Brian Greene have good books on cosmology - not technically astrophysics, but then again, neither is Black Holes and Time Warps (another book I really enjoyed).


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