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Introduction; Overture: Newton's published work on the calculus of fluxions;
Part I. The Early Period:
1. The diffusion of the calculus (1700-1730);
2. Developments in the calculus of fluxions (1714-1733);
3. The controversy on the foundations of the calculus (1734-1742);
Part II. The Middle Period:
4. The textbooks on fluxions (1736-1758);
5. Some applications of the calculus (1740-1743);
6. The analytic art (1755-1785);
Part III. The Reform:
7. Scotland (1785-1809);
8. The Military Schools (1773-1819);
9. Cambridge and Dublin (1790-1820);
10. Tables; Endnotes; Bibliography; Index.
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