The history of the calculus and its conceptual development: (The concepts of the calculus)
Fluent description of the development of both the integral and differential calculus. Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.
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CONCEPTIONS IN ANTIQUITY
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algebra analysis appeared Archimedes argument Aristotle arithmetic Barrow basis Bernoulli Bolzano Cantor Cauchy Cavalieri center of gravity century continuous continuum curve Cusa defined definition demonstration derivative Descartes differential calculus Duhem Eudoxus Euler Fermat finite formal function fundamental Galileo geometrical Geschichte given Greek Mathematics Gregory of St History Ibid idea inasmuch increments indivisibles infinite number infinite series infinitely small infinitesimal infinity instantaneous velocity integral interpreted intuition John Bernoulli Kepler Lagrange later Leibniz limit concept logical magnitude mathe mathematicians matics metaphysical method of exhaustion method of fluxions Moritz Cantor Newton and Leibniz Nicholas of Cusa notion Opera omnia Oresme parabola paradoxes Pascal philosophers Plato polygon prime and ultimate problems procedure proposition Pythagorean quadratures quantities quotient regarded represented result rigorous Roberval Scholastic Schriften segment sense Stevin T. L. Heath tangent theorem theory thought tion Torricelli triangle ultimate ratio variable Wallis Weierstrass zero