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I am looking for a book that describes the historical development of mathematics from the ancient times to our advanced developed concept. Along with the derivation and mathematical concepts as introduced in the respective time. For example if it was on history of number theory of gauss , then the proofs as given by him would also be stated. It doesn't has to be a single book. Any help would be appreciated.

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  • $\begingroup$ Men of Mathematics by Bell is classic $\endgroup$ Jan 10 at 20:09
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There are many histories of mathematics. These two might be what you're looking for:

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Your question is too broad, I think.

One nice scholarly book (which covers only the changes around 1850 to 1910, as mathematics went from a mishmash of physics and psychology, and became an abstract deductive science):

Jeremy Gray, Plato's Ghost: The Modernist Transformation of Mathematics, Princeton University Press, 2008

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There is a nice book called Princeton Companion to Mathematics (written by many authors, edited by Gowers) which explains many parts of modern mathematics, and has a chapter on development of principal concepts.

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