Texts

1. A Babylonian approximation to root 2.
2. An estimate for p from the Rhind papyrus.
3. Hippocrates quadrature of lunes.
4. A trignometrical problem from the Sea Island Manual.
5. Zeno's Paradoxes.
6. Euclid's proof that the areas of circles are proportional to their diameters squared.
7. Archimedes on the area of circles and spheres.
8. Archimedes' approximation to p.
9. Archimedes' quadrature of a parabola.
10. Al Uqlidisi's use of decimal fractions.
11. Oresme's work on functions and graphs, velocity and acceleration.
12. Decimal calculations in Simon Stevin.
13. Galileo on dynamics.
14. Fermat's methods of integration.
15. Fermat's calculation of maxima and minima and tangents.
16. Descartes' method for tangents.
17. Roberval's calculation of the area of a cycloid.
18. Barrow's proof of the fundamental theorem of calculus.
19. Leibniz' algorithms for differential and integral calculus.
20. Newton's method of first and last ratios.
21. Newton's work on infinite series.
22. Berkeley's criticism of the foundations of Calculus.
23. Maclaurin's work on power series.
24. D'Alembert's foundational work on limits.
25. Euler's explanation of limits.
26. Lagrange's algebraization of Calculus.
27. Bolzano's proof of the intermediate value theorem.
28. Cauchy's definition of differentiability.
29. Weierstrass, Dedekind and Cantor on the Foundations of Mathematics.