A History of Mathematics: An IntroductionA History of Mathematics, Third Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today's elementary, high school, and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in developing lesson plans based on the history of each topic. This book is ideal for a junior or senior level course in the history of mathematics for mathematics majors intending to become teachers. |
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Page 676
... coefficients rational in the coefficients of the original equation . - Having studied the methods for solving cubics and quartics , Lagrange was ready to generalize . First , as was clear from the discussion of cubic equations , the ...
... coefficients rational in the coefficients of the original equation . - Having studied the methods for solving cubics and quartics , Lagrange was ready to generalize . First , as was clear from the discussion of cubic equations , the ...
Page 677
... coefficients rational in the original coefficients ( because the given symmetric function u was one of those coefficients ) . If that equation could be solved , then he could find a new function w , which takes on , say , s values under ...
... coefficients rational in the original coefficients ( because the given symmetric function u was one of those coefficients ) . If that equation could be solved , then he could find a new function w , which takes on , say , s values under ...
Page 740
... coefficients depend on the coefficients of F and those of the substitution . Gauss noted that if F ' is transformed into F " by a second linear substitution , x ' = ex " + $ y " y ' = nx " + 0y " , then the composition of the two ...
... coefficients depend on the coefficients of F and those of the substitution . Gauss noted that if F ' is transformed into F " by a second linear substitution , x ' = ex " + $ y " y ' = nx " + 0y " , then the composition of the two ...
Contents
PART ONE Ancient Mathematics | 1 |
3 | 43 |
References and Notes | 49 |
Copyright | |
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al-Khwarizmi algebra algorithm Almagest angle Apollonius Archimedes arithmetic astronomical axis Babylonian basic Bernoulli Book Brahmagupta calculate century chapter Chinese Chinese Mathematics chord circle coefficients conic sections consider construction cube cubic equation curve derived Descartes determine diameter difference differential Diophantus discussed distance divided Elements ellipse equal Euclid Euclid's Elements Euler example Fermat FIGURE fluxion formula fractions function geometric given number Greek mathematics Hipparchus hyperbola Ibid ideas Indian infinite integral intersection Islamic known Leibniz length logarithm mathematicians method modern notation motion multiplied Newton noted parabola parallel perpendicular plane polynomial positive probably problem procedure proof proportion Proposition proved Ptolemy Ptolemy's Pythagorean Theorem quadratic equation quantities radius ratio rectangle represent result right triangle rule side sine solution solve sphere square root straight line subtract tangent theorem translated treatise trigonometry velocity