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## Details

Genre/Form: | History |
---|---|

Material Type: | Internet resource |

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Marlow Anderson; Victor J Katz; Robin J Wilson |

ISBN: | 0883855461 9780883855461 |

OCLC Number: | 54028528 |

Description: | x, 387 pages : illustrations, maps ; 28 cm. |

Contents: | Part I. 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 -- Part II. 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 1° / 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 -- Part III. 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 -- Part IV. 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. |

Series Title: | MAA spectrum. |

Responsibility: | edited by Marlow Anderson, Victor Katz, Robin Wilson. |

More information: |

### Abstract:

Collection of essays on the history of mathematics by distinguished authorities.
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