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Part I. Ancient Mathematics: Foreword Sherlock Holmes in Babylon Words and pictures: new light on Plimpton 322 Mathematics 600 BC-600 AD Diophantus of Alexandria Hypatia of Alexandria Hypatia and her mathematics The evolution of mathematics in ancient China, Liu Hui and the first golden age of Chinese mathematics Number systems of the North American Indians The number systems of the Mayas Before the conquest Afterword Part II. Medieval and renaissance mathematics Foreword The discovery of the series formula for pi Ideas of calculus in Islam and India Was calculus invented in India? An early iterative method for the determination of sin 1 * Leonardo of Pisa and his liber quadratorum The algorists vs. the abacists: an ancient controversy on the use of calculators Sidelights on the Cardan-Tartaglia controversy Reading Bombelli's x-purgated algebra The first work on mathematics printed in the New World Afterword Part III. The Seventeenth Century: Foreword An application of geography to mathematics: history of the integral of the secant Some historical notes on the cycloid Descartes and problem-solving Rene Descartes' curve-drawing devices: experiments in the relations between mechanical motion and symbolic language Certain mathematical achievements of James Gregory The changing concept of change: the derivative from Fermat to Weierstrauss The crooked made straight: Roberval and Newton on tangents On the discovery of the logarithmic series and its development in England up to Cotes Isaac Newton: man, myth, and mathematics Reading the master: Newton and the birth of celestial mechanics Newton as an originator of polar coordinates Newton's method for resolving affected equations A contribution of Leibniz to the history of complex numbers Functions of a curve: Leibniz's original notion of functions and its meaning for the parabola Afterword Part IV. The Eighteenth Century: Foreword Brook Taylor and the mathematical theory of Linear Perspective Was Newton's calculus a dead end? The continental influence of Maclaurin's treatise of fluxions Discussion of fluxions: from Berkeley to Woodhouse The Bernoulli and the harmonic series Leonhard Euler 1707-1783 The number Euler's vision of a general partial differential calculus for a generalized kind of function Euler and the fundamental theorem of algebra Euler and the differentials Euler and quadratic reciprocity Afterword Index About the editors.

Sherlock Holmes in Babylon and Other Tales of Mathematical History