A History of Mathematics: An Introduction
Provides 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.
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The Beginnings of Mathematics in Greece
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Abu Kamil algebra algorithm Almagest angle Apollonius Archimedes argument arithmetic Aryabhata astronomical axis Babylonian basic Book Brahmagupta calculate century b.c.e. Chinese chord circle coefficients consider construction cube cubic equations curve definition derived Descartes determine diameter difference differential Diophantus discussion distance divided Elements ellipse equal Euclid Euclid's Elements Euler example Fermat FIGURE fluxions formula fractions function geometric given number gives Greek mathematics Hipparchus hyperbola Ibid ibn al-Haytham ideas Indian infinite integral Islamic Islamic mathematics Jordanus known Leibniz length line segment logarithm magnitudes mathematicians method modern notation motion multiplied Newton notes Pappus parabola perpendicular plane positive postulate problem procedure proof proportion proposition proved Ptolemy Ptolemy's Pythagorean Qin Jiushao quadratic equations quantities radius ratio rectangle represent result rule shows side sine solution solve sphere square root straight line subtract tangent theorem translation treatise triangle trigonometry various velocity