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. |
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Page 132
... tangent at any point , the parallel to this tangent passing through the center of the ellipse is conjugate to the straight line passing through the point of tangency and the center ( Fig . 3.28 ) . ( A similar definition can be given ...
... tangent at any point , the parallel to this tangent passing through the center of the ellipse is conjugate to the straight line passing through the point of tangency and the center ( Fig . 3.28 ) . ( A similar definition can be given ...
Page 500
... tangent is equal to a given function . Letting z = √√y2 - c2 , Gregory simply defines u ( x ) to be the area under the curve z / c from the origin to x . His task is then to show that the slope of the tangent to this curve is given by ...
... tangent is equal to a given function . Letting z = √√y2 - c2 , Gregory simply defines u ( x ) to be the area under the curve z / c from the origin to x . His task is then to show that the slope of the tangent to this curve is given by ...
Page 537
... tangent function ( through the ninth power term ) using Taylor's formula and compare with Gregory's result . Is ... tangent line to the curve x3 + y3 = a3 . 32. Barrow was perhaps the first to calculate the slope of the tangent to the ...
... tangent function ( through the ninth power term ) using Taylor's formula and compare with Gregory's result . Is ... tangent line to the curve x3 + y3 = a3 . 32. Barrow was perhaps the first to calculate the slope of the tangent to the ...
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