Per the title, what are some of the oldest calculus, real analysis books out there with exercises? Maybe there are some hidden gems from before the 20th century out there.
Edit. Unsolved exercises are fine. Same with solved.
[Math] Reference request: Oldest calculus, real analysis books with exercises
booksca.classical-analysis-and-odesho.history-overviewreal-analysisreference-request
Best Answer
It depends if you mean exercises with or without solutions.
The former don’t differ much from example-driven textbooks (e.g. Euler’s Institutiones (1755, 1768, 1769, 1770), Lehmus’ Uebungs-Aufgaben (1823), Gregory’s Examples (1841), Sohncke’s Aufgaben (1850), Todhunter’s Treatise (1852, 1857), Lübsen’s Selbstunterricht books (1853-), Schlömilch’s Übungsbücher (1868, 1870)), papers (e.g. Cauchy’s Exercices (1826-) are really reprints of his papers), or tables (e.g. Bierens de Haan (1858)). In fact, like many “earliest” questions this soon devolves into meaninglessness, as old texts often called Proposition what we would call an Exercise or Problem: e.g. Newton (1687), l’Hôpital (1696) — in that sense they all qualify.
The latter are a more recent phenomenon, e.g. Boole’s book (1859) seems to be an early one with mostly unsolved exercises at chapters’ ends.