The Historical Development of the CalculusSpringer, 1979 - 351 pagine The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. - Publisher. |
Dall'interno del libro
85 pagine corrispondenti a editions:UOM39076002853575 in questo libro
Pagina 351
Sommario
Incommensurable Magnitudes and Geometric Algebra | 10 |
Area and the Method of Exhaustion | 16 |
Archimedes | 28 |
Copyright | |
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A₁ algebraic analysis analytical applied Archimedes arithmetic b₁ base binomial series Cauchy century Chapter characteristic triangle circle coefficients computations concept continuous function convergence corresponding curve cycloid defined definition denote derivative Descartes difference differential equal equation Euler example EXERCISE Fermat Figure finite fluxions follows formula Fourier function f(x function ƒ fundamental theorem geometric geometric series given gives Greek hyperreal indivisibles infinite series infinitesimal inscribed interpolation interval inverse Lebesgue integrable Leibniz length limit logarithms mathematics mean value theorem method motion Napier Newton non-standard analysis notation obtain ordinate parabola partition polygons polynomial problems proof pyramids quadrature radius ratio rational numbers real numbers rectangles result Riemann Riemann integrable rigorous segment sequence subintervals substitution tangent line Taylor's termwise theorem of calculus tion variable velocity volume Wallis