History of analysis? 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.

Many old books are available freely :
(Gutenberg)
Smith(1906) 'History of Modern Mathematics'
Rouse Ball(1908) 'A Short Account of the History of Mathematics'
(archive.org)
Struik(1948) 'A concise history of mathematics'
Bell(1937) 'Men Of Mathematics'
and so on... Excellent reading!