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Any sites detailing the history of analysis post 1820 (to mid 1900s?) - vis-à-vis Cauchy, Weierstrass, Riemann, Bolzano, ..., Kuratowski, Hilbert?

It's something that appears quite interesting and I would like to have a knowledge of the direction analysis took and how things like topological spaces were motivated and viewed (pedagogically they're an extension of a metric space though I think there is much, much more to the history than this though I might be incorrect).

Being a poor student purchasing "mathematical analysis by its history" isn't an option (for two reasons; I need money for food and core material, but more importantly - mathematically the comments would be worthless as post 1900 detail is not included).

I looked to the library for history and - understandably - the books look at geometry, calculus (not analysis! Leibniz versus Newton) etc.

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I think Dieudonné wrote about the history of analysis, but I don't remember anything more specific than that. –  Dylan Moreland Dec 27 '11 at 22:19
    
Have you looked at a public or a college/university library? In the latter, you should find many such books. "A Radical Approach to Real Analysis" by Bressoud might be a good choice. –  Michael Greinecker Dec 27 '11 at 22:21
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4 Answers

Try these books:

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This is a general history, but it has a quite detailed overview of "analysis". Morris Kline's Mathematical Thought from Ancient to Modern Times is very thorough, well written, and most importantly cheap. It comes in three volumes in paperback. I believe you'd want volumes two and three.

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+1 for what is probably the single best history of mathematics ever written. Well worth hunting down a copy of the 3-in-1 edition. –  Mathemagician1234 Dec 27 '11 at 23:21
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The St Andrew's history of maths website may be a good starting point. This link leads to the history topics index.

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