Sherlock Holmes in Babylon and other tales of mathematical history
(eBook)

Ancient mathematics. Sherlock Holmes in Babylon / R. Creighton Buck -- Words and pictures: new light on Plimpton 322 / Eleanor Robson -- Mathematics, 600 B.C.-600 A.D. / Max Dehn -- Diophantus of Alexandria / J.D. Swift -- Hypatia of Alexandria / A.W. Richeson -- Hypatia and her mathematics / Michael A.B. Deakin -- The evolution of mathematics in ancient China / Frank Swetz -- Liu Hui and the first golden age of Chinese mathematics / Philip D. Straffin, Jr. -- Number systems of the North American Indians / W.C. Eells -- The number system of the Mayas / A.W. Richeson -- Before the conquest / Marcia Ascher -- Medieval and renaissance mathematics. The discovery of the series formula for [pi] by Leibniz, Gregory and Nilakantha / Ranjan Roy -- Ideas of calculus in Islam and India / Victor J. Katz -- Was calculus invented in India? / David Bressoud -- An early iterative method for the determinationof sin 1⁰ / Farhad Riahi ---

Leonardo of Pisa and his Liber Quadratorum / R.B. McClenon -- The algorists vs. the abacists: an ancient controversy on the use of calculators / Barbara E. Reynolds -- Sidelights on the Cardan-Tartaglia controversy / Martin A. Nordgaard -- Reading Bombelli's x-purgated algebra / Abraham Arcavi and Maxim Bruckheimer -- The first work on mathematics printed in the New World / David Eugene Smith -- The seventeenth century. An application of geography to mathematics: history of the integral of the secant / V. Frederick Rickey and Philip M. Tuchinsky -- Some historical notes on the cycloid / E.A. Whitman -- Descartes and the problem-solving / Judith Grabiner -- René Descartes' curve-drawing devices: experiments in the relations between mechanical motion and symbolic language / David Dennis -- Certain mathematical achievements of James Gregory / Max Dehn and E.D. Hellinger -- The changing concept of change: the derivative from Fermat to Weierstrass / Judith V. Grabiner ---

The crooked made straight: Roberval and Newton on tangents / Paul R. Wolfson -- On the discovery of the logarithmic series and its development in England up to Cotes / Josef Ehrenfried Hofmann -- Isaac Newton: man, myth and mathematics / V. Frederick Rickey -- Reading the master: Newton and the birth of celestial mechanics / Bruce Pourciau -- Newton as an originator of polar coordinates / C.B. Boyer -- Newton's method for resolving affected equations / Chris Christensen -- A contribution of Leibniz to the history of complex numbers / R.B. McClenon -- Functions of a curve: Leibniz's original notion of functions / David Dennis and Jere Confrey -- The eighteenth century. Brook Taylor and the mathematical theory of linear perspectives / P.S. Jones -- Was Newton's calculus a dead end? The continental influence of Maclaurin's treatise of fluxions / Judith Grabiner -- Discussion of fluxions: from Berkeley to Woodhouse / Florian Cajori ---

The Bernoullis and the harmonic series / William Dunham

Leonhard Euler 1707-1783 / J.J. Burckhardt

The number e / J.L. Coolidge

Euler's vision of a general partial differential calculus for a generalized kind of function / Jesper Lützen

Euler and the fundamental theorem of algebra / William Dunham

Euler and differentials / Anthony P. Ferzola

Euler and quadratic reciprocity / Harold M. Edwards.