A History of Mathematics: An IntroductionProvides a world view of mathematics, balancing ancient, early modern and modern history. Problems are taken from their original sources, enabling students to understand how mathematicians in various times and places solved mathematical problems. In this new edition a more global perspective is taken, integrating more non-Western coverage including contributions from Chinese/Indian, and Islamic mathematics and mathematicians. An additional chapter covers mathematical techniques from other cultures. *Up to date, uses the results of very recent scholarship in the history of mathematics. *Provides summaries of the arguments of all important ideas in the field. |
Contents
PART | 1 |
The Beginnings of Mathematics in Greece | 46 |
Archimedes and Apollonius | 102 |
Copyright | |
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al-Khwarizmi algebra algorithm angle Archimedes arithmetic astronomical axioms Babylonian basic Bernoulli Book Brahmagupta calculate Cauchy century Chinese circle coefficients complex numbers conic considered construction cube cubic equation curve defined definition derived Descartes determine developed differential Diophantus discussion distance divided Elements equal Euclid Euclid's Elements Euler example Fermat FIGURE finite fluxions formula function Gauss geometry given Greek mathematics hyperbola Ibid ibn al-Haytham ideas infinite integral Islamic Johann Bernoulli Leibniz length linear logarithm mathematicians method modern motion multiplied Newton non-Euclidean geometry notation noted parabola parallel postulate perpendicular plane polynomial problem proof proposition proved Ptolemy quadratic equation quantities radius ratio real numbers rectangle represented result rule side sine solution solve sphere straight line subtract symbols tangent theorem theory translated triangle trigonometry variable various vector velocity