The History Of The Calculus And Its Conceptual Development

Understanding subject requires acquiring a new vocabulary. Style of writing is charming voyage back into an earlier era.

Boyer too casually dismisses Hindu and Islamic mathematics. Perhaps Hindu mathematics "delighted more in the tricks that could be played with numbers than in the thoughts the mind could produce, so that neither Euclidean geometry nor Aristotelian logic made a strong impression upon them", but I do not trust that Boyer read enough Hindu mathematics to justify this assertion.

This is a truly enlightening history of calculus from Eudoxus to Weierstrass. This 1949 book by Carl Benjamin Boyer, republished by Dover, places the developments of Newton and Leibniz within the long sequence of historical developments of calculus including Pythagoras, Zeno, Eudoxus, Aristotle, Euclid, Archimedes, Oresme, Viète, Stevin, Cavalieri, Torricelli, Kepler, Galileo, Descartes, Fermat, Wallace, Barrow, Leibniz, Newton, Maclaurin, Euler, Lagrange, Lacroix, Bolzano, d'Alembert, Cauchy, Weierstrass, Cantor, and Dedekind, roughly in that order.

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