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.

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    $\begingroup$ Out of curiosity, why are you particularly interested in old books? $\endgroup$ – littleO Sep 5 '20 at 1:18
  • $\begingroup$ Try Cauchy's Cours D'Analyse: en.wikipedia.org/wiki/Cours_d%27Analyse $\endgroup$ – Favst Sep 5 '20 at 1:20
  • $\begingroup$ @Favst Thank you for your suggestion, Favst. $\endgroup$ – user743574 Sep 5 '20 at 1:28
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    $\begingroup$ @littleO I prefer far more the writing of old authors, in general. And let me admit that I have almost a fetish for the antique. $\endgroup$ – user743574 Sep 5 '20 at 1:31
  • $\begingroup$ If you are familiar with latin, you shouldn't have much difficulty reading books written in french. There are a lot of them, some very didactic like E. Bezout, "Cours de mathématiques, à l'usage de la marine et de l'artillerie" (that Napoleon mastered). I could list easily 20 of them... $\endgroup$ – Jean Marie Sep 5 '20 at 1:40

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)


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