I am looking for old analysis books. By old I mean very old, like very early 20th century and before (yes, eighteenth century counts).
It is indifferent to me if it has exercises or not.
I only ask for a good coverage of the most important topics we study today and a good emphasis on infinite series.
Also, I have a preference for books written originally in Latin or English (German is ok, but less desired).
Thank you. I hope it is not asking too much.
Here are some fundamental books written in French. You can have electronic access to many of them through "gallica". Like you, I am interested by these old books (and have purchased some of them).
A. Cauchy: "Cours d'Analyse" (already mentionned by Favst)
in the same vein, different lectures given at "Ecole Polytechnique" that were lithographed (in order that each student has his own copy of the lecture notes). Those of
C. Hermite: (1873) "Cours d'Analyse"
C. Jordan (1882) same title (recently re-edited https://www.cambridge.org/core/books/cours-danalyse-de-lecole-polytechnique/0A83F049A98167EFA3C41DE1CDD03F05) and
J. Hadamard (1912) same title
E. Bezout: "Cours de mathématiques, à l'usage de la marine et de l'artillerie" (edition 1798, first edition around 1775) https://gallica.bnf.fr/ark:/12148/bpt6k6212877w/f8.image.texteImage
Abbé C. Bossut: "Cours de mathématiques" (1781).
M. Chasles: "Aperçu historique sur l'origine et le développement des méthodes en géométrie" (1837)
P. S. Laplace: "Traité analytique des probabilités" (1812)
Marquis de l'Hôpital: "l'analyse des infiniments petits pour l'intelligence des lignes courbes" (1696)
J. Ozanam: "Dictionnaire de mathématiques" (1691)
Descartes: "La géométrie" (1637) (very good analysis of this fundamental book here) which encompasses in fact all the premisces of what will become "Analysis" a century or so later.
(List to be extended)