Well, it bears a copyright date of 1902, but I think Eduoard Goursat's [Cours D'Analyse][1] is such an excellent text that it should be mentioned. I have the English translation, Mathematical Analysis, translated by E.R. Hedrick, usually referred to as just "Goursat-Hedrick". (My 528 page volume 1 has a price of six dollars and a quarter pencilled in on the inside cover. It is currently available on eBay for $85)
http://www.ebay.com/itm/MATHEMATICAL-ANALYSIS-Vol-1-By-Goursat-Hedrick-1904-Ginn-Co-/261154396415


  [1]: https://archive.org/details/courseinmathemat01gouruoft